Scopus
EXPORT DATE:12 Jul 2013
Angellier, N.a , Dubé, J.F.b , Quirant, J.b , Crosnier, B.b
Behavior of a double-layer tensegrity grid under static loading: Identification of self-stress level
(2013) Journal of Structural Engineering (United States), 139 (6), pp. 1075-1081.
http://www.scopus.com/inward/record.url?eid=2-s2.0-84878003234&partnerID=40&md5=d96823ad804e26c10cdec1d1ecac38e8
AFFILIATIONS: Université de Limoges, Groupe d'Etudes des Matériaux Hétérogènes, Génie Civil and Durabilité, 19300 Egletons, France;
Laboratoire de Mécanique et Génie Civil, Unité Mixte de Recherche 5508, F-34095 Montpellier Cedex 5, France
ABSTRACT: The determination of the state of internal stress is important to define the rigidity of a tensegrity structure and its stability. Several methods can be used; some are based on direct measurements of the forces in the elements, but are not easily transferable to a real structure. The authors opt for indirect measurement techniques, which seem more appropriate for implementation on-site. One can consider the vibratory analysis of the elements, the vibratory analysis of the whole structure, or the analysis of the structure's behavior under static loading. Here, the node displacement fields of a tensegrity structure in different states of self-stress under several strategies of static loadings is studied by comparing the measurement obtained by a tachometer with simulations. The aim of this work is to show the feasibility of a displacement field to identify the state of self-stress by this analysis. It is shown that under certain conditions, plans can be made to replace the direct measurement of the forces by indirect analysis. © 2013 American Society of Civil Engineers.
AUTHOR KEYWORDS: Field measurement; Inverse analysis; Self-stress; Tachometer; Tensegrity
INDEX KEYWORDS: Direct measurement; Displacement field; Field measurement; Indirect measurements; Inverse analysis; Self-stresses; Tensegrities; Tensegrity structure, Prestressed beams and girders; Tachometers, Loading
REFERENCES: Angellier, N., Dubé, J.F., Quirant, J., Crosnier, B., Etude de la déformée d'une grille de tensé grité pour l'identification de son niveau d'autocontrainte (2009) Eur. J. Environ. Civil Eng., 13 (10), pp. 1183-1202., in French;
Averseng, J., (2004) Mise en œuvre et Contrôle des Systèmes de Tenségrité, , Ph.D. thesis, Université Montpellier 2, Montpellier, France (in French);
Averseng, J., Crosnier, B., Prestressing tensegrity systems - Application to multiple selfstress systems (2004) Int. J. Struct. Stab. Dyn., 4 (4), pp. 543-557., doi:10.1142/S0219455404001379;
Averseng, J., Crosnier, B., Static and dynamic robust control of tensegrity systems (2004) J. Int. Assoc. Shell Spat. Struct, 45 (3), pp. 169-174;
Barcilon, V., (1982) Math. Phys. Trans., 304 (1483), pp. 211-251., Inverse mode problems for the vibrating beam in the free-clamped configuration." Philosoph. Trans. Royal Soc. London A;
Bicanic, N., Chen, H.P., Damage identification in framed structures using natural frequencies (1997) Int. J. Numer. Methods Eng., 40 (23), pp. 4451-4468., doi:10.1002/(SICI)1097-0207(19971215)40:23<4451: AID-NME269>3.0. CO;2-L;
Dubé, J.F., Identification de l'endommagement d'une poutre par analyse vibratoire (2004) Revue Française de Génie-Civil, 8 (23), pp. 203-218., (in French);
Dubé, J.F., Angellier, N., Crosnier, B., Comparison between experimental tests and numerical simulations carried out on a tensegrity minigrid (2008) Eng. Struct., 30 (7)., 1905-1912;
Fuller, R.B., (1973) The Dymaxion World of Buckminster Fuller, , Anchor, New York;
Gurdal, Z., Haftka, R.T., Kamat, M.P., (1993) Elements of Structural Optimization, , Kluwer, Dordrecht, Netherlands;
Kawaguchi, K., Lu, Z.Y., Construction of three-strut tension systems (2002) Space Structures, 5, pp. 1-10., T. Telford, G. Parke, and P. Disney, eds. Guilford, U.K;
Maeck, J., Damage identification in reinforced concrete structures by dynamic stiffness determination (2000) Eng. Struct., 22 (10), pp. 1339-1349., doi:10.1016/S0141-0296(99)00074-7;
Motro, R., Tensarch project (2002) Space Structures, 5, pp. 57-66., T. Telford, G. Parke, and P. Disney, eds. Guilford, U.K;
Motro, R., (2003) Tensegrity: Structural Systems for the Future, , Kogan Page Science, London;
Murakami, H., Nishimura, Y., Static and dynamic characterization of some tensegrity modules (2001) J. Appl. Mech., 68 (1), pp. 19-27., doi:10.1115/1.1331058;
Ndambi, J.M., Comparison of techniques for modal analysis of concrete structures (2000) Eng. Struct., 22 (9), pp. 1159-1166., doi:10.1016/S0141-0296(99)00054-1;
Oda, K., Hangai, Y., Optimal self-equilibrated stresses in cables structures (1995) Spatial Structures: Heritage, Present and Future, Proc. Int. Assoc. of Space Struct. Symp. G. C. Giuliani, pp. 859-864., ed. S. G. Editoriali, Padova, Italy;
Olhof, N., Eschenauer, H., Schnell, W., (1997) Applied Structural Mechanics. Structural Optimization, , Springer, Berlin, Germany;
Pritchard, J.I., Adelman, H.M., Haftka, R.T., Sensitivity analysis and optimization of nodal point placement for vibration reduction (1987) J. Sound Vibrat., 119 (2), pp. 277-289., doi:10.1016/0022-460X(87)90455-X;
Quirant, J., (2000) Systèmes de Tenségrité et Autocontrainte: Qualification, Sensibilité et Incidence sur le Comportement, , Ph.D. thesis, Université Montpellier 2, Montpellier, France (in French);
Quirant, J., Kazi Aoual, M.N., Laporte, R., Tensegrity systems: The application of linear programmation in search of compatible selfstress states (2003) J. Int. Assoc. Shell Spat. Struct., 44 (1), pp. 33-50;
Sanchez, L.R., (2005) Contribution À l'Étude Mécanique des Systèmes de Tenségrité, , Ph.D. thesis, Université Montpellier 2, Montpellier, France (in French);
Snelson, K., (1973) Tensegrity Mast, , Shelter, Bolinas, CA;
Van Den Abeele, K., Devisscher, J., Damage assessment in reinforced concrete using spectral and temporal nonlinear vibration techniques (2000) Cement Concr. Res., 30 (9), pp. 1453-1464., doi:10.1016/S0008-8846(00)00329-X;
Verpeaux, P., Charras, T., Millard, A., Castem2000, une approche moderne du calcul des structures (1988) Calcul des Structures et Intelligence Artificielle, 2, pp. 261-271., J. M. Fouet, P. Ladevèze, and R. Ohayon, eds. Pluralis, France
CORRESPONDENCE ADDRESS: Angellier, N.; Université de Limoges, Groupe d'Etudes des Matériaux Hétérogènes, Génie Civil and Durabilité, 19300 Egletons, France; email: nicolas.angellier@unilim.fr
ISSN: 07339445
CODEN: JSEND
DOI: 10.1061/(ASCE)ST.1943-541X.0000710
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: J. Struct. Eng.
DOCUMENT TYPE: Article
SOURCE: Scopus
Shekastehband, B.a , Abedi, K.b , Dianat, N.c
Experimental and numerical study on the self-stress design of tensegrity systems
(2013) Meccanica, pp. 1-23. Article in Press.
http://www.scopus.com/inward/record.url?eid=2-s2.0-84877034697&partnerID=40&md5=d13c8fe5d7a6547ded0088b69403a97c
AFFILIATIONS: Department of Civil Engineering, Urmia University of Technology, Urmia, Iran;
Department of Civil Engineering, Sahand University of Technology, Tabriz, Iran;
Structural Laboratory of Sazehaye Fazaei Iran, Safira Company, Tehran, Iran
ABSTRACT: Tensegrity systems as kinematically and statically indeterminate pin-jointed systems are characterized by mechanisms and self-stress states. Unlike the other reticulated systems, in tensegrity systems, unilateral behavior of cables causes some problems in determining the basis of compatible self-stress states. At the present study, self-stress design of tensegrity systems is presented. Experimental study on two 3×3×0.7 m tensegrity grids was conducted to verify the accuracy and validity of the numerical method. Using supporting constraints, an effective method for the implementation of self-stress states in a much reduced number of stages is proposed and calibrated. Considering the results of the present study, the self-stress design of these systems can be improved to obtain specific desired behavior. © 2013 Springer Science+Business Media Dordrecht.
AUTHOR KEYWORDS: Force density method; Self-stress design; Tensegrity systems; Tension setting
CORRESPONDENCE ADDRESS: Shekastehband, B.; Department of Civil Engineering, Urmia University of Technology, Urmia, Iran; email: b.shekastehband@uut.ac.ir
ISSN: 00256455
CODEN: MECCB
DOI: 10.1007/s11012-013-9754-3
LANGUAGE OF ORIGINAL DOCUMENT: English
DOCUMENT TYPE: Article in Press
SOURCE: Scopus
Olejnikova, T.
Double layer tensegrity grids
(2012) Acta Polytechnica Hungarica, 9 (5), pp. 95-106.
http://www.scopus.com/inward/record.url?eid=2-s2.0-84871249532&partnerID=40&md5=ed77674b6350d2ab37e6c5ec2fb64006
AFFILIATIONS: Department of Applied Mathematics, Civil Engineering Faculty, Technical University of Košice, Vysokoškolská 4, 042 00 Košice, Slovakia
ABSTRACT: This paper describes the geometry of a double layer tensegrity grids assembled of three or four strut prismatic cells. The elementary cells are self-equilibrated and so is their assembly. The paper shows the creation of a planar grids composed of elementary equilibrium and grids with single or double curvatures composed of modified equlibrium shapes.
AUTHOR KEYWORDS: Compression; Equilibrium; Grid strctures; Prismatic cell; Tensegrity system; Tension
REFERENCES: Olejíková, T., (2010) Geometry of Tensegrity Systems, Proceedings of Scientific Works, pp. 98-104., Innovative Approach to Modeling of Intelligent Construction Components in Building 2010 Košice;
Motro, R., (2003) Tensegrity. Structural Systems For the Future, , http://www.google.com/books?hl=sk&lr=&id=0n0K6-zOB0sC&oi=fnd&pg=PR7&dq=Tensegrity:+Structural+Systems+for+the+Future&ots=85AsVSIo_l&sig=amBKpKIADyZVPlpc0vVQ03g0OUI#v=onepage&q&f=false, Kogan Page Limited, London and Sterling;
Burkhardt, R.W., (2008) A Practical Guide to Tensegrity, , http://www.angelfire.com/ma4/bob_wb/tenseg.pdf, Cambridge, USA, MA 02142-0021;
Design and Analysis of Tensegrity Systems (2010) The International Journal "Transport & Logistics", 18, pp. 42-49
CORRESPONDENCE ADDRESS: Olejnikova, T.; Department of Applied Mathematics, Civil Engineering Faculty, Technical University of Košice, Vysokoškolská 4, 042 00 Košice, Slovakia; email: tatiana.olejnikova@tuke.sk
ISSN: 17858860
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Acta Polytech. Hung.
DOCUMENT TYPE: Article
SOURCE: Scopus
Bhalla, S., Panigrahi, R., Gupta, A.
Damage assessment of tensegrity structures using piezo transducers
(2012) Meccanica, pp. 1-14. Article in Press.
http://www.scopus.com/inward/record.url?eid=2-s2.0-84871118864&partnerID=40&md5=e36246307bce82d20d540b5aa7dacdea
AFFILIATIONS: Department of Civil Engineering, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, 110016, India
ABSTRACT: This paper presents the application of surface-bonded piezo-transducers for damage assessment of tensegrity structures through dynamic strain measurement and electro-mechanical impedance (EMI) technique. The two techniques are first applied on a single module tensegrity structure, 1 m×1 m in size and their damage diagnosis results compared. A single piezoelectric-ceramic (PZT) patch bonded on a strut measures the dynamic strain during an impact excitation of the structure. Damage is identified from the changes in global frequencies of the structure obtained from the PZT patch's response. This is compared with the damage identified using the EMI technique, which is a signature based technique and operates at frequencies of the order of kHz. The dynamic strain approach, which requires commonly available hardware, is found to exhibit satisfactory performance vis-à-vis the EMI technique for damage assessment of tensegrity structures. The damage diagnosis exercise is then extended to a tensegrity grid structure, 2 m×2 m size, fabricated using galvanized iron (GI) pipes and mild steel wire ropes. The damage is localized using changes in natural frequencies observed experimentally using the dynamic strain approach and the corresponding mode shapes of the undamaged structure derived numerically. The dynamic strain approach is found to be very expedient, displays competitive performance and is at the same time cost effective for damage assessment of tensegrity structures. © 2012 Springer Science+Business Media Dordrecht.
AUTHOR KEYWORDS: Damage; Electro-mechanical impedance (EMI) technique; Piezoelectric-ceramic (PZT); Tensegrity
CORRESPONDENCE ADDRESS: Bhalla, S.; Department of Civil Engineering, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, 110016, India; email: sbhalla@civil.iitd.ac.in
ISSN: 00256455
CODEN: MECCB
DOI: 10.1007/s11012-012-9678-3
LANGUAGE OF ORIGINAL DOCUMENT: English
DOCUMENT TYPE: Article in Press
SOURCE: Scopus
Gómez-Jáuregui, V.
Double-layer tensegrity grids and rot-umbela manipulations [Mallas tensegríticas de doble capa y manipulaciones de rot-umbela]
(2012) Informes de la Construccion, 64 (527), pp. 331-344.
http://www.scopus.com/inward/record.url?eid=2-s2.0-84874004729&partnerID=40&md5=068d68e699968baee709e7574eff18d6
AFFILIATIONS: Universidad de Cantabria, Santander, Spain
ABSTRACT: Double-layer tensegrity grids (DLTGs) are tensegrity spatial systems containing two parallel networks of members in tension forming the top and bottom chords, whose nodes are linked by vertical and/or inclined web members under compression and tension. This paper presents, as an introduction, a brief perspective of the historical proposals for DLTGs over the last years, describing later a new approach for generating these kinds of structures, mainly in geometrical terms. After applying Otero's proposal for designing conventional double-layer grids (DLGs), a new technique, known as Rot-Umbela Manipulation, is applied to their upper and/or lower layers for generating DLTGs. Rot-Umbela Manipulation consists of opening a vertex in the plane for obtaining a certain polygon, which is then rotated by a determined angle. This powerful operation opens an endless catalogue of DLTGs and a very interesting line of research in the field of Tensegrity.
AUTHOR KEYWORDS: Double-layer; Grids; Rot-umbela; Structures; Tensegrity
REFERENCES: Gómez-Jáuregui, V., (2010) Tensegrity structures and their application to architecture, Santander: Universidad de Cantabria, , Servicio de Publicaciones;
Cuevas Riaño, M., (2007) Estructuras lógicas en las artes plásticas, , Tesis Doctora, Universidad Complutense de Madrid;
Gómez-Jáuregui, V., (2009) Controversial Origins of Tensegrity, , en Symposium of the International Association for Shell and Spatial Structures (50th. 2009. Valencia). Evolution and Trends in Design, Analysis and Construction of Shell and Spatial Structures: Proceedings/ Alberto Domingo and Carlos Lázaro, eds;
Fuller, B.R., (1962) Tensile-integrity structures, , Patente US3063521, concedida 13-Oct;
Snelson, K.D., (1965) Continuous tension, discontinuous compression structures, , Patente US3169611, concedida 16-Feb;
Emmerich, D.G., (1964) Construction de réseaux autotendants, , sPatente FP1377290, concedida 28-Sep-196;
Emmerich, D.G., (1964) Structures linéaires autotendants, , Patente FP1377291, concedida 28-Sep;
Burkhardt, R., (2011) Snelson's Planar Pieces, , http://www.trip.net/~bobwb/ts/synergetics/photos/planar.html, [Online]. [Acceso: 26-Jan];
Snelson, K., (2010) Correspondencia personal con el autor, , 16-Oct;
Pugh, A., An introduction to tensegrity (1976), Berkeley: University of California PressVilnay, O., (1977) Structures made of infinite regular tensegric nets, 18 (63), pp. 51-57., Bulletin of the International Association of Shell and Spatial Structures;
Hanaor, A., (1987) Preliminary investigation of double-layer tensegrities, 2., en Proceedings of International Conference on the Design and Construction of Non-conventionalStructures;
Hanaor, A., Liao, M.-K., Double-layer tensegrity grids: static load response I: analytical study (1991) Journal of structural engineering, 117 (6), pp. 1660-1674;
Hanaor, A., Double-layer tensegrity grids: static load response, II: experimental study (1991) Journal of structural engineering, 117 (6), pp. 1675-1684;
Hanaor, A., Aspects of design of double-layer tensegrity domes (1992) International Journal of Space Structures, 7 (2), pp. 101-113;
Hanaor, A., Double-layer tensegrity grids as deployable structures (1993) International Journal of Space Structures, 8 (1-2), pp. 135-143;
Hanaor, A., Geometrically rigid double-layer tensegrity grids (1994) International Journal of Space Structures, 9 (4), pp. 227-238;
Hanaor, A., (1997) Tensegrity: Theory and application, pp. 385-408., en Beyond the Cube: The Architecture of Space Frames and Polyhedra, J. Francois Gabriel, John Wiley and Son, Ic;
Motro, R., (1987) Tensegrity systems for double layer space structures, 2., en Proceedings of International Conference on the Design and Construction of Non-conventionalStructures;
Motro, R., Tensegrity systems: the state of the art (1992) International Journal of Space Structures, 7 (2), pp. 75-83;
Motro, R., (1989) Tensegrity systems: latest developments and perspectives, , presentado en 10 years of progress in Shell and Spatial Structures. IASS Symposium 198, Madrid;
Motro, R., (2003) Tensegrity: Structural systems for the future, , London, Sterling, V. A: Kogan Page Science;
Motro, R., Structural morphology of tensegrity systems (2009) Asian Journal of Civil Engineering, 10 (1), pp. 1-19;
Maurin, B., Motro, R., Raducanu, V., Pauli, N., Soft 'tensegrity like' panel: Conceptual design and Form - Finding (2008) Journal of the International Association for Shell and Spatial Structures, 49 (158), pp. 77-87;
Nestorovic, M., (1987) Metallic Integrally Tensioned (Tensegrity) Cupola, 2., en Proceedings of International Conference on the Design and Construction of Non-conventionalStructures;
Nestorovic, M., (1993) Analysis of the properties of integrally tensioned tensegrity domes, , presentado en Procedings of the 4th International Conference on Space Structures, London;
Emmerich, D.G., Structures tendues et autotendantes (1988) École d'architecture de Paris la Villette;
Emmerich, D.G., Self-tensioning spherical structures: single and double layer spheroids (1990) International Journal of Space Structures, 5 (3), pp. 335-374;
Emmerich, D.G., Emmerich on self-tensioning structures (1996) International Journal of Space Structures, 11 (1-2), pp. 29-36;
Wang, B.-B., Liu, X.-L., Integral-tension research in double-layer tensegrity grids (1996) International Journal of Space Structures, 11 (4), pp. 349-355;
Wang, B.-B., Simplexes in tensegrity systems (1999) Journal of the International Association for Shell and Spatial Structures, 40 (129), pp. 57-64;
Wang, B.-B., Cable-Strut Systems: Part II - Cable-Strut (1998) Journal of Constructional Steel Research, 45 (3), pp. 291-299;
Wang, B.-B., Cable-Strut Systems: Part I - Tensegrity (1998) Journal of Constructional Steel Research, 45 (3), pp. 281-289;
Wang, B.-B., Li, Y.Y., RP system-properties, design and applications (2002), en Proceedings Of The International Symposium of Lightweight Structures In Civil EngineeringWang, B., Li, Y., Novel cable-strut grids made of prisms: Part I. Basic theory and design (2003) Journal of the International Association for Shell and Spatial Structures, 44 (142), pp. 93-108;
Wang, B., Li, Y., Novel cable-strut grids made of prisms: Part II. Deployable and architectural studies (2003) Journal of the International Association for Shell and Spatial Structures, 44 (142), pp. 109-125;
Wang, B., (2004) Free-standing tension structures: from tensegrity systems to cable-strut systems, , London; New York: Spon Press;
Wang, B.B., Li, Y.Y., Cable-strut systems of non-contiguous strut configurations - Morphological study (2005) Journal of the International Association for Shell and Spatial Structures, 46 (147), pp. 23-39;
Hilyard, M.J., Lalvani, H., (2000) Emmerich-type structures constructed fromtensegrity modules, pp. 196-205., presentado en IASS Structural Morphology Colloquium 2000, Bridge Between CivilEngineering & Architecture, Delft;
Kono, Y., Kunieda, H., (1996) Tensegrity grids transformed from double-layer space grids, pp. 293-300., presentado en Proceedings Conceptual Design of Structures, IAS, Stuttgart;
Kono, Y., Kunieda, H., (1997) A class of double-layer tensegrity grid domes, pp. 455-463., Singapore;
Kono, Y., Kunieda, H., Experimental Study On Static Load Responses Of Double Layer Tensegrity Grids (1997) J. Struct. Constr. Eng., AIJ, 502, pp. 93-97;
Kono, Y., Kunieda, H., Shimada, T., Form-Finding Of Double-Layer Tensegrity Grids With Multiple States of Self-Stress (1997) J. Struct. Constr. Eng., AIJ, 501, pp. 73-76;
Kono, Y., Choong, K.K., Shimada, T., Kunieda, H., An experimental investigation of a type of double-layer tensegrity grids (1999) Journal of the International Association for Shell and Spatial Structures, 40 (130), pp. 103-111;
Kono, Y., Kunieda, H., (2001) Frame Structure And Method For Forming The Same, , Patente WO9744543, concedida 27-Feb;
Quirant, J., Motro, R., Kazi-Aoual, M., (2003) Designing tensegrity systems: the case of a double layer grid, 25 (9), pp. 1121-1130., Engineering Structure, DOI: 10.1016/S0141-0296(03)00021-X;
Quirant, J., (2000) Systèmes de tenségrité et autocontrainte: Qualification, sensibilité et incidence sur le comportement, , Tesis Doctora, Université de Montpellier II;
Quirant, J., Kazi-Aoual, M.N., Laporte, R., Tensegrity systems: The application of linear programmation in search of compatible selfstress states (2003) Journal of the International Association for Shell and Spatial Structures, 44 (141), pp. 33-50;
Smaili, A., Motro, R., Foldable / unfoldable curved tensegrity systems by finite mechanism activation (2007) Journal of the International Association for Shell and Spatial Structures, 48 (155), pp. 153-160;
Smaili, A., Motro, R., A self-stress maintening folding tensegrity system by finite mechanism activation (2005) Journal of the International Association for Shell and Spatial Structures, 46 (148), pp. 85-93;
Smaili, A., Motro, R., (2005) Folding/unfolding of tensegrity systems by removal of self-stress, pp. 595-602., en International symposium on shell and spatial structure;
Smaili, A., (2004) Systemes legers pliables/depliables: cas des systemes de tensegrite, , Tesis Doctora, Université de Montpellier II;
Sánchez, R., Kazi Aoual, M.N., Motro, R., (2002) Pre-Sizing Of Tensegrity Systems, , en Proceedings Of The International Symposiu;
Sánchez, R., Maurin, B., Kazi-Aoual, M.N., Motro, R., (2003) Modélisation des systèmes de tenségrité: Grilles à double nappe, , http://www.lirmm.fr/doctiss04/art/M, Montpellier: Laboratoire de Mécanique et Génie Civil. Université Montpellier II;
Bouderbala, M., Motro, R., (2000) Folding tensegrity systems, 80, pp. 27-36., Solid Mechanics and its applications;
Vassart, N., (1997) Recherche de forme et stabilité des systèmes réticulés autocontraints -Application aux systèmes de tenségrité, , Tesis Doctora, Université de Montpellier II;
Averseng, J., Dubé, J.-F., Crosnier, B., Motro, R., (2005) Active control of a tensegrity plane grid, 2005, pp. 6830-6834., en Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conferenc, CDC-ECC '05;
Averseng, J., (2004) Mise en oeuvre et contrôle des systèmes de tenségrité, , Tesis Doctora, Université de Montpellier II;
Averseng, J., Crosnier, B., Static and dynamic robust control of tensegrity systems (2004) Journal of the International Association for Shell and Spatial Structures, 45 (146), pp. 169-174;
Averseng, J., Crosnier, B., Prestressing tensegrity systems - Application to multiple selfstress state structures (2004) International Journal of Structural Stability and Dynamics, 4 (4), pp. 543-557;
Djouadi, S., Motro, R., Pons, J.C., Crosnier, B., Active control of tensegrity systems (1998) Journal of Aerospace Engineering, 11 (2), pp. 37-43;
Kebiche, K., (1998) Etude en non-linéarités géométriques et homogénéisation des systèmes réticulés autocontraints: application aux systèmes de tenségrité, , Tesis Doctora, Université de Montpellier II;
Le Saux, C., (2002) Modélisation numérique du pliage et du déploiement des systèmes spatiaux avec prise en compte des contacts et des frottements, , Tesis Doctora, Université de Montpellier II;
Raducanu, V., (2001) Architecture Et Système Constructif - Case De Systémes De Tenségrité, , Tesis Doctora, Université de Montpellier II;
Pedretti, M., Smart tensegrity structures for the Swiss Expo 2001 (1998), 3330, pp. 378-386., en Proceedings of SPIE - The International Society for Optical EngineeringAdriaenssens, S.M.L., Barnes, M.R., Tensegrity spline beam and grid shell structures, 23 (1), pp. 29-36., Engineering Structure, DOI: 10.1016/S0141-0296(00)00019-5, 2001;
Panigrahi, R., Gupta, A., Bhalla, S., Design of tensegrity structures using artificial neural networks (2008) Structural Engineering and Mechanics, 29 (2), pp. 223-235;
Panigrahi, R., Gupta, A., Bhalla, S., Dismountable steel tensegrity grids as alternate roof structures (2009) Steel and Composite Structures, 9 (3), pp. 239-253;
Tran, H.C., Lee, J., Advanced form-finding of tensegrity structures (2010) Computers & Structure, 88 (3-4), pp. 237-246., DOI: 10.1016/j.compstruc.2009.10.006;
Tran, H.C., Lee, J., Initial self-stress design of tensegrity grid structures (2010) Computers and Structures, 88 (9-10), pp. 558-566;
Tran, H.C., Lee, J., Self-stress design of tensegrity grid structures with exostresses (2010) International Journal of Solids and Structures, 47 (20), pp. 2660-2671., DOI: 10.1016/j.ijsolstr.2010.05.020;
Liapi, K., Kim, J., (2010) Double-layer tensegrity grids for architectural applications, pp. 429-430., Structures & Architecture, P. Cru, Ed. CRC Press;
Skelton, R., De Oliveira, M.C., (2009) Tensegrity systems, , Dordrecht, London: Springer;
Skelton, R., Helton, W.J., Adhikari, R., Mechanics of Tensegrity Beams (1998) UCSD, Structural Systems & Contr. Lab., Rep., pp. 1998-2001;
Otero, C., (1990) Diseño geométrico de cúpulas no esféricas aproximadas por mallas triangulares con un número mínimo de longitudes de barra, , Tesis Doctoral. Universidad de Cantabria;
Otero, C., Oti, J., Villar, F., Otero, F., Classical Geometry in flat and simple curved meshes (1992) Bulletin of the International Association of Shell and Spatial Structures, 33 (108), pp. 3-31;
Gómez-Jáuregui, V., Otero, C., Arias, R., Manchado, C., Generation and nomenclature of tessellations and double-layer grids (2012) Journal of Structural Engineering-ASC, , Doi: 10.1061/(ASCE)ST.1943-541X.000053m July;
Gómez-Jáuregui, V., Arias, R., Otero, C., Manchado, C., Novel technique for obtaining double-layer tensegrity grids International Journal of Space Structure, 27 (2-3), pp. 155-166., DOI: 10.1260/0266-3511.27.2-3.155, número especial;
Gancedo Lamadrid, E., (1988) Estudio de propiedades métricas de las radiaciones centrales en poliedros convexos, , Tesis Doctoral, Universidad de Cantabria;
Gancedo Lamadrid, E., Álvarez Gómez, J.M., Suárez González, J., Vega Menéndez, J., A New Method to Obtain and Define Regular Polyhedra (2004) Geometriae Dedicat, 106 (1), pp. 43-49., DOI: 10.1023/B:GEOM.0000033841.77105.bb;
Tibert, A.G., Pellegrino, S., Review of form-finding methods for tensegrity structures (2003) International Journal of Space Structures, 18 (4), pp. 209-223;
Zhang, J.Y., Ohsaki, M., Adaptive force density method for form-finding problem of tensegrity structures (2006) International Journal of Solids and Structure, 43 (18-19), pp. 5658-5673., DOI: 10.1016/j.ijsolstr.2005.10.011;
Bel Hadj Ali, N., Rhode-Barbarigos, L., Smith, I.F.C., Analysis of clustered tensegrity structures using a modified dynamic relaxation algorithm;
Averseng, J., Quirant, J., Dubé, T.F., (2011) Interactive Design And Dynamic Analysis Of Tensegrity Systems, , presentado en Structural Engineers World Congress 2011 Como (Italy);
Tibert, G., (2011) Design And Form-Finding Analysis Of Tensegrity Power Lines, , presentado en Structural Enginners World Congress 2011, Como (Italy);
Murcia, J., (2007) Tecnología de pasarelas con estructura de membrana, 59 (507), pp. 21-31., Informes de la Construcción
CORRESPONDENCE ADDRESS: Gómez-Jáuregui, V.; Universidad de Cantabria, Santander, Spain; email: tensegridad.es@gmail.com
ISSN: 00200883
DOI: 10.3989/ic.11.053
LANGUAGE OF ORIGINAL DOCUMENT: Spanish
ABBREVIATED SOURCE TITLE: Inf. Constr.
DOCUMENT TYPE: Article
SOURCE: Scopus
Shekastehband, B.a , Abedi, K.a , Dianat, N.b , Chenaghlou, M.R.a
Experimental and numerical studies on the collapse behavior of tensegrity systems considering cable rupture and strut collapse with snap-through
(2012) International Journal of Non-Linear Mechanics, 47 (7), pp. 751-768. Cited 1 time.
http://www.scopus.com/inward/record.url?eid=2-s2.0-84861338285&partnerID=40&md5=61962f45169791a950dd13ea1f59e39b
AFFILIATIONS: Department of Civil Engineering, Sahand University of Technology, Tabriz, Iran;
Structural Laboratory of Sazehaye Fazaei Iran, Safira Company, Tehran, Iran
ABSTRACT: Researches on the collapse behavior of a 3×3×0.7 m tensegrity grid have been conducted with the aim of examining the accuracy of the proposed numerical procedure for investigating the localization or propagation of collapse in these systems. The experimental program consists of tests on the constituent elements and collapse test on the whole system. In the current study, two types of collapse due to sudden rupture of a cable element and buckling of a strut were examined in the studied tensegrity model under load control. It was found that the most important factors that influence the collapse behavior of the tensegrity model are the imperfection amplitude, damping factors and residual stresses of the buckled struts. Based on the obtained results, the finite element model were adjusted, compared and validated with the experimental results until reliable and robust numerical model were achieved. © 2012 Elsevier Ltd. All rights reserved.
AUTHOR KEYWORDS: Progressive collapse; Residual stress; Snap-through; Sudden cable rupture; Tensegrity systems
INDEX KEYWORDS: Cable element; Collapse behavior; Damping factors; Experimental program; Finite element models; Numerical procedures; Numerical studies; Progressive collapse; Snap-through; Sudden cable rupture; Tensegrities; Tensegrity systems, Residual stresses; Software testing; Struts, Cables
REFERENCES: Skelton, R.E., De. Oliveira, M.C., (2009) Tensegrity Systems, , Springer New York;
Hanaor, A., Double-layer tensegrity grids: Static load response. II: Experimental study (1991) Journal of Structural Engineering, 117, pp. 1675-1684;
Abedi, K., Shekastehband, B., Static stability behaviour of plane double-layer tensegrity structures (2008) International Journal of Space Structures, 23, pp. 89-102;
Shekastehband, B., Abedi, K., Chenaghlou, M.R., Sensitivity analysis of tensegrity systems due to member loss (2011) Journal of Constructional Steel Research, 67, pp. 1325-1340;
Abedi, K., (1997) Propagation of Local Instabilities in Braced Domes, , Ph.D. Thesis, University of Surrey;
Abedi, K., Parke, G.A.R., Experimental study of dynamic propagation of local snap-through in single-layer braced domes (2001) International Journal of Space Structures, 16, pp. 125-136;
Bathe, K.J., (1996) Finite Element Procedures, , Prentice-Hall, Inc. New Jersey;
Kebiche, K., Kazi-Aoual, M.N., Motro, R., Geometrical non-linear analysis of tensegrity systems (1999) Engineering Structures, 21, pp. 864-876;
Davies, G., Neal, B.G., The dynamic behaviour of a strut in a truss framework (1959) Proceedings of the Royal Society of London Series A, 253, pp. 542-562;
Davies, G., Neal, B.G., An experimental examination of the dynamical behaviour of a strut in a rigidly-jointed truss framework (1963) Proceedings of the Royal Society of London Series A, 274, pp. 225-238;
Hibbit, K., (2002) Sorensen, ABAQUS/Standard, Users Manual, , Providence Rhode Island, USA;
Tran, H.C., Lee, J., Self-stress design of tensegrity grid structures with exostresses (2010) International Journal of Solids and Structures, 47, pp. 2660-2671;
(2002) Standard Test Method for Tension Testing of Wire Ropes and Strand, , ASTM 01.03, A 931 - 96;
Tatemichi, I., Hatato, T., Anma, Y., Fujiwara, S., Vibration tests on a full-size suspen-dome structure (1997) International Journal of Space Structures, 12, pp. 217-224;
Oppenheim, I.J., Williams, W.O., Vibration of an elastic tensegrity structure (2001) European Journal of Mechanics A/Solids, 20, pp. 1023-1031
CORRESPONDENCE ADDRESS: Shekastehband, B.; Department of Civil Engineering, Sahand University of Technology, Tabriz, Iran; email: b_shekastehband@sut.ac.ir
ISSN: 00207462
CODEN: IJNMA
DOI: 10.1016/j.ijnonlinmec.2012.04.004
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Int J Non Linear Mech
DOCUMENT TYPE: Article
SOURCE: Scopus
Gómez-Jáuregui, V., Arias, R., Otero, C., Manchado, C.
Novel technique for obtaining double-layer tensegrity grids
(2012) International Journal of Space Structures, 27 (2-3), pp. 155-166. Cited 1 time.
http://www.scopus.com/inward/record.url?eid=2-s2.0-84863535782&partnerID=40&md5=2fdafd3f1730ee9bcc2af7a89d5ad9c2
AFFILIATIONS: Dpt. Geographic Engineering and Graphical Expression Techniques, Universidad de Cantabria, Spain
ABSTRACT: Double-layer tensegrity grids (DLTGs) may be defined as tensegrity spatial systems containing two parallel horizontal networks of members in tension forming the top and bottom layers, whose nodes are linked by vertical and/or inclined bracing members in compression and/or tension. In this paper, a new approach is described. Conventional double-layer grids (DLGs) are composed of three layers: top, bottom and bracing members. This paper shows new rules for generating original DLGs following a recent methodology for their composition, from the mosaic of the bracing members and additional laws. Finally, from them, a new technique, known as Rot-Umbela manipulation, is applied to obtain their tensegrity form, opening and endless catalogue of DLTGs.
AUTHOR KEYWORDS: Design; Double-Layer; Grids; Rot-Umbela Manipulation; Structures; Tensegrity; Tessellations
INDEX KEYWORDS: Double layers; Grids; Rot-Umbela Manipulation; Tensegrities; Tessellations, Construction; Design; Structure (composition), Space platforms
REFERENCES: Gómez-Jáuregui, V., (2010) Tensegrity Structures and their Application to Architecture, , Universidad de Cantabria. Servicio de Publicaciones, Santander;
Gómez-Jáuregui, V., Controversial origins of tensegrity (2009) Symposium of the International Association for Shell and Spatial Structures, , 50th. 2009. Valencia). Evolution and Trends in Design, Analysis and Construction of Shell and Spatial Structures: Proceedings/Alberto Domingo and Carlos Lázaro, eds;
Pugh, A., (1976) An introduction to tensegrity, , University of California Press, Berkeley;
Hanaor, A., Preliminary investigation of double-layer tensegrities (1987) Proceedings of International Conference on the Design and Construction of Non-conventional Structures, 2;
Motro, R., Tensegrity systems for double layer space structures (1987) Proceedings of International Conference on the Design and Construction of Non-conventional Structures, 2;
Emmerich, D.G., Construction de réseaux autotendants French, , Patent FP1377290, 28-Sep-1964;
Emmerich, D.G., (1988) Structures Tendues et Autotendantes, , Ecole d'architecture de Paris la Villette, Paris;
Wang, B., (2004) Free-standing tension structures: From Tensegrity Systems to Cable-Strut Systems, , Spon Press, London; New York;
Kono, Y., Choong, K.K., Shimada, T., Kunieda, H., An experimental investigation of a type of double-layer tensegrity grids (1999) Journal of the International Association for Shell and Spatial Structures, 40 (130), pp. 103-111;
Burkhardt, R., (2008) Snelson's Planar Pieces, , http://www.trip.net/~bobwb/ts/synergetics/photos/planar.html, [Online]. Available: [Accessed: 26-Jan-2011];
Raducanu, V., (2001) Architecture et Système Constructif: Case de Systémes de Tenségrité, , PhD Thesis, Université de Montpellier II;
Skelton, R., De Oliveira, M.C., (2009) Tensegrity Systems, , Springer, Dordrecht; London;
Motro, R., (2003) Tensegrity : Structural Systems for the Future, , Kogan Page Science, London (UK;
Skelton, R.E., Helton, W.J., Adhikari, R., (1998) Mechanics of Tensegrity Beams, 1998, p. 1., UCSD, Structural Systems &Contr. Lab., Rep;
Otero, C., (1990) Diseño Geométrico de Cúpulas no Esféricas Aproximadas por Mallas Triangulares con un Número Mínimo de Longitudes de Barra, , PhD Thesis, Universidad de Cantabria;
Otero, C., Oti, J., Villar, F., Otero, F., Bulletin of the international association of shell and spatial structures (1992) Classical Geometry in Flat and Simple Curved Meshes, 33 (108), pp. 3-31;
Gómez-Jáuregui, V., Otero, C., Arias, R., Manchado, C., Generation and nomenclature of tessellations and doublelayer grids (2012) Journal of Structural Engineering-ASCE, , July;
Gancedo Lamadrid, E., José manuel álvarez gómez, jesús suárez gonzález &javier vega menéndez, a new method to obtain and define regular Polyhedra (2004) Geometriae Dedicata, 106, pp. 43-49., Jun 1;
Baverel, O., Nooshin, H., Nexorades based on regular polyhedra (2007) Nexus Network Journal, 9 (2), pp. 281-298;
Pellegrino, S., Structural computations with the singular value decomposition of the equilibrium matrix (1993) International Journal of Solids and Structures, 30 (21), pp. 3025-3035;
Tran, H.C., Lee, J., Initial self-stress design of tensegrity grid structures (2010) Computers and Structures, 88 (9-10), pp. 558-566;
Averseng, J., Quirant, J., Dubé, J.-F., Interactive design and dynamic analysis of tensegrity systems (2011) Presented at the Structural Engineers World Congress, , Como (Italy), 2011;
Bel Hadj Ali, N., Rhode-Barbarigos, L., Smith, I., Analysis of clustered tensegrity structures using a modified dynamic relaxation algorithm (2011) International Journal of Solids and Structures, 48 (5), pp. 637-647;
Quirant, J., Kazi-Aoual, M.N., Motro, R., Designing tensegrity systems: The case of a double layer grid (2003) Engineering Structures, 25 (9), pp. 1121-1130., DOI 10.1016/S0141-0296(03)00021-X
CORRESPONDENCE ADDRESS: Gómez-Jáuregui, V.; Dpt. Geographic Engineering and Graphical Expression Techniques, Universidad de CantabriaSpain; email: tensegridad.es@gmail.com
ISSN: 09560599
CODEN: ISSTE
DOI: 10.1260/0266-3511.27.2-3.155
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Int J Space Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Skejić, D.a , Androić, B.b , Bačić, D.c
Tensegrity Structures: Innovative light structural systems [Tensegrity konstrukcije: Inovativni sustavi laganih konstrukcija]
(2012) Prostor, 20 (1), pp. 198-209.
http://www.scopus.com/inward/record.url?eid=2-s2.0-84863822802&partnerID=40&md5=fc0de3a1fb9b0d7c1d1b170d4849f1bf
AFFILIATIONS: University of Zagreb, Faculty of Civil Engineering, Kačićeva 26, HR - 10000 Zagreb, Croatia;
I.A. Projektiranje D.o.o., I. Barutanski breg 4, HR - 10000 Zagreb, Croatia;
University of Zagreb, Faculty of Architecture, Kačićeva 26, HR - 10000 Zagreb, Croatia
ABSTRACT: Tensegrity system is a relatively new structural system suitable for the design of light and adaptable structures which create the impression of a bunch of rods floating in the air. These structural systems are known under various names depending on a particular approach: integrally strained systems, self-stabilizing systems, self-straining networks, critical and overcritical network systems. The structural function of such systems results from linking their constituent elements by means of tensile forces into an integral whole. This principle lies behind their name tensegrity (tensional integrity). One of the main objectives in the design of wide span structural systems is to reduce their own weight as much as possible. Therefore ingenious structural systems have been invented. Their reduced weight results from a reduced number of rods in compression. Thus the stability of the system is achieved by introducing self-balancing strain created by cables (elements in tension) and rods (elements in compression). These systems can therefore be defined as systems whose rigidity results from a self-straining balanced state between tensile cables and compressive elements independently of any outside activity. Self-straining that is responsible for their rigidity is independent of any devices that usually help to achieve a balanced state of straining. The geometric form of the spatial system is created by a periodic combination of basic modules whose integral parts are cables and rods. Some forms of tensegrity structures are reminiscent of the already familiar structures, trusses and beam-and-stringer grids but with a different flow of forces and spatial stability. The originality of tensegrity structures lies in its complex geometry and structural function resulting in a specific mechanic behaviour differing from the conventional spatial systems. Three historical figures are usually considered as the inventors of tensegrity structures: R. Buckminster Fuller, David Georges Emmerich and Kenneth D. Snelson. Fuller's work has stimulated many researchers who have been exploring this field and searching for practical application of these systems. The first attempts at constructing tent-like structures in the 1960s (Frei Otto) were followed by a period (1970s) in which strained structures gained popularity especially after the Olympic stadium in Munich had been built up. Numerous research projects have contributed substantially to eliminate the obstacles to practical application of tensegrity structures. Researches focused on multi-disciplinary aspect of the issue have resulted in an adjustable technology for design and analysis of integrally strained structures and have developed successful design innovations applicable to tensegrity structures. Despite the fact that tensegrity structures have for a long time been avoided and unjustly neglected within the fields of architecture and structural engineering, they have recently, however, become an accepted structural form. Advanced technology and a developing theory of integrally strained structures have helped to eliminate prejudices about these forms of structures. Finding an initial form that is stable even when stressed has certainly speeded up the evolution from sculpture to structure. Modeling is mainly based on three different approaches: by displacement, by forces and by energy. The mathematical tools necessary for the analysis of rigidity and stability of tensegrity structures is extremely complex since an appropriate modeling requires mastery and control of the following: the position of a tensegrity structure in multi-dimensional space, rigidity and straining matrices, the concepts of self-straining and proper straining, the balance and disassembly of forces. The examples of the already built tensegrity structures range from domes, towers, roof and arch structures, tents, pavilions, and bridges to artistic and everyday objects (furniture). It is certain that researches on tensegrity structures will continue into the future. The examples shown here confirm their applicability when covering large spans, bridges with short spans or as supports of lightweight infrastructural systems. Although further and more thorough researches are needed, it is quite clear that a deeply rooted assumption about the inapplicability of tensegrity structures is nowadays successfully refuted. However, successful application of new technologies to tensegrity structures requires close cooperation between architects and structural engineers as an essential prerequisite for future creative and innovative solutions.
REFERENCES: Adriaenssens, S.M., Barnes, M.R., Tensegrity Spline Beam and Grid Shell Structures (2001) Engineering Structures, 23 (1), pp. 29-36., New York;
Burkhardt, R., (1994) A Practical Guide to Tensegrity Design, , vlastita naklada (Robert William Burkhardt, Jr.), Cambridge, MA;
Connelly, R., Back, A., (1998) Catalogue of Symmetric Tensegrities, , Cornell University, Ithaca;
Diller, E., Scofidio, R., (2002) Blur: The making of nothing, , Harry N. Abrams New York / London;
Drew, P., (1976) Frei Otto: Form and structure, , Crosby Lockwood Staples, London;
Emmerich, D.G., (1988) Structures Tendues et Autotendantes, , Ecole d'Architecture de Paris la Villette, Paris;
Fuller, B., (1963) Ideas and Integrities: A Spontaneous Autobiographical Disclosure, , Collier Books, New York;
Furuya, H., Concept of deployable tensegrity structures in space applications (1992) International Journal of Space Structures, 7 (2), pp. 143-151., Brentwood;
Gengnagel, C., (2002) Arbeitsblätter 'Tensegrity', , Fakultät für Architektur, Technische Universität München, München;
Hanaor, A., Preliminary Investigation of Double-Layer Tensegrities (1987) Proceedings of International Conference on the Design and Construction of Non-conventional Structures, 2., u, [ur. Topping, H. V.], Civil-Comp Press., Edinburgh;
Hanaor, A., Double-layer tensegrity grids as deployable structures (1993) International Journal of Space Structures, 8 (1-2), pp. 135-143., Brentwood;
Jáuregui, V.G., (2010) Tensegrity Structures and their Application to Architecture, , PubliCan, Ediciones de la Universidad de Cantabria, Cantabria;
Kenner, H., (1976) Geodesic Math and How to Use It, , University of California Press, Berkeley;
Micheletti, A., Modular Tensegrity Structures, the TorVergata Footbridge (2005) Proceeding of the 2 nd International Conference on Footbridges, , Venecija;
Micheletti, A., Williams, W.O., A marching procedure for form-finding for tensegrity structures (2007) Journal of mechanics of materials and structures, 2 (5), pp. 857-882., Berkeley CA;
Motro, R., (2003) Tensegrity: Structural Systems for the Future, , Kogan Page Science, London;
Pugh, A., (1976) An Introduction to Tensegrity, , University of California Press, Berkeley;
Schlaich, M., Der Messeturm in Rostock-ein Tensegrityrekord (2003) Stahlbau, 72 (10), pp. 697-701., Berlin;
Schodek, D.L., (1993) Structure in Sculpture, , MIT Press, Cambridge, MA;
Tibert, A.G., Pellegrino, S., Review of form-finding methods for tensegrity structures (2003) International Journal of Space Structures, 18 (4), pp. 209-223., Brentwood;
Vesna, V., (2000) Networked Public Spaces: An Investigation into Virtual Embodiment, , disertacija, University of Wales College, Newport;
Zhang, J., (2007) Structural morphology and stability of tensegrity structures, , disertacija, Kyoto University, Kyoto;
Zhang, J., (2003) Energy Time Line-Year 1800 to 1899, , California Energy Commission (CAC), California
CORRESPONDENCE ADDRESS: Skejić, D.; University of Zagreb, Faculty of Civil Engineering, Kačićeva 26, HR - 10000 Zagreb, Croatia
ISSN: 13300652
LANGUAGE OF ORIGINAL DOCUMENT: English; Croatian
ABBREVIATED SOURCE TITLE: Prostor
DOCUMENT TYPE: Review
SOURCE: Scopus
Tran, H.C., Lee, J.
Geometric and material nonlinear analysis of tensegrity structures
(2011) Acta Mechanica Sinica/Lixue Xuebao, 27 (6), pp. 938-949.
http://www.scopus.com/inward/record.url?eid=2-s2.0-84855660832&partnerID=40&md5=3ae7afa9f35bda40c297d65fcebfb0b1
AFFILIATIONS: Department of Architectural Engineering, Free Form Architecture Institute, Sejong University, 98 Kunja Dong, Kwangjin Ku, Seoul 143-747, South Korea
ABSTRACT: A numerical method is presented for the large deflection in elastic analysis of tensegrity structures including both geometric and material nonlinearities. The geometric nonlinearity is considered based on both total Lagrangian and updated Lagrangian formulations, while the material nonlinearity is treated through elastoplastic stress-strain relationship. The nonlinear equilibrium equations are solved using an incremental-iterative scheme in conjunction with the modified Newton-Raphson method. A computer program is developed to predict the mechanical responses of tensegrity systems under tensile, compressive and flexural loadings. Numerical results obtained are compared with those reported in the literature to demonstrate the accuracy and efficiency of the proposed program. The flexural behavior of the double layer quadruplex tensegrity grid is sufficiently good for lightweight large-span structural applications. On the other hand, its bending strength capacity is not sensitive to the self-stress level. © 2011 The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag Berlin Heidelberg.
AUTHOR KEYWORDS: Geometric nonlinearity; Large displacements; Material nonlinearity; Nonlinear analysis; Tensegrity structures
INDEX KEYWORDS: Computer program; Double layers; Elastic analysis; Elasto-plastic; Flexural behavior; Flexural loading; Geometric and material nonlinearities; Geometric non-linearity; Incremental-iterative schemes; Large deflection; Large displacements; Material nonlinear; Material nonlinearity; Mechanical response; Modified Newton-Raphson method; Non-linear equilibrium equation; Numerical results; Self-stresses; Strength capacity; Stress-strain relationships; Structural applications; Tensegrities; Tensegrity structure; Tensegrity systems; Total Lagrangian; Updated Lagrangian formulations, Bending strength; Geometry; Lagrange multipliers; Newton-Raphson method; Nonlinear equations; Numerical methods; Stress-strain curves, Nonlinear analysis
REFERENCES: Fuller, R.B., (1975) Synergetics-Explorations in the Geometry of Thinking, , Macmillan Publishing Co. Inc., London, UK;
Tibert, A.G., Pellegrino, S., Deployable tensegrity reflectors for small satellites (2002) Journal of Spacecraft and Rockets, 39 (5), pp. 701-709;
Fu, F., Structural behavior and design methods of tensegrity domes (2005) J. Constr. Steel Res., 61 (1), pp. 23-35;
Tran, H.C., Lee, J., Initial self-stress design of tensegrity grid structures (2010) Comput. Struct., 88 (9-10), pp. 558-566;
Kebiche, K., Kazi-Aoual, M.N., Motro, R., Geometrical nonlinear analysis of tensegrity systems (1999) Eng. Struct., 21 (9), pp. 864-876;
Rhode-Barbarigos, L., Ali, N.B.H., Motro, R., Designing tensegrity modules for pedestrian bridges (2010) Eng. Struct., 32 (4), pp. 1158-1167;
Tran, H.C., Lee, J., Self-stress design of tensegrity grid structures with exostresses (2010) Int. J. Solids Struct., 47 (20), pp. 2660-2671;
Ingber, D.E., The architecture of life (1998) Sci. Am., 278 (1), pp. 48-57;
Ingber, D.E., Tensegrity I. Cell structure and hierarchical systems biology (2003) Journal of Cell Science, 116 (7), pp. 1157-1173., DOI 10.1242/jcs.00359;
Stamenovic, D., Effects of cytoskeletal prestress on cell rheological behavior (2005) Acta Biomaterialia, 1 (3), pp. 255-262., DOI 10.1016/j.actbio.2005.01.004, PII S1742706105000486;
Feng, X.Q., Li, Y., Cao, Y.P., Design methods of rhombic tensegrity structures (2010) Acta Mech. Sinica, 26 (4), pp. 559-565;
Connelly, R., Whiteley, W., Second-order rigidity and prestress stability for tensegrity frameworks (1996) SIAM Journal on Discrete Mathematics, 9 (3), pp. 453-491;
Jórdan, T., Recski, A., Szabadka, Z., Rigid tensegrity labelings of graphs (2009) Eur. J. Combin., 30 (8), pp. 1887-1895;
Paul, C., Valero-Cuevas, F.J., Lipson, H., Design and control of tensegrity robots for locomotion (2006) IEEE Transactions on Robotics, 22 (5), pp. 944-957., DOI 10.1109/TRO.2006.878980;
Rovira, A.G., Tur, J.M.M., Control and simulation of a tensegrity-based mobile robot (2009) Robot. Auton. Syst., 57 (5), pp. 526-535;
Wang, B.B., (2004) Free-standing Tension Structures: From Tenseg-rity Systems to Cable Strut Systems, , Spon Press, London and New York;
Pinaud, J.P., Solari, S., Skelton, R.E., Deployment of a class 2 tensegrity boom (2004) Proceedings of SPIE Smart Structures and Materials, , SPIE Press 155-162;
Motro, R., (2003) Tensegrity: Structural Systems for the Future, , (1st edn.) Kogan Page Science, London;
Tibert, A.G., Pellegrino, S., Review of form-finding methods for tensegrity structures (2003) Int. J. Space Struct., 18 (4), pp. 209-223;
Kahla, N.B., Kebiche, K., Nonlinear elastoplastic analysis of tensegrity systems (2000) Eng. Struct., 22 (11), pp. 1552-1566;
Murakami, H., Static and dynamic analyses of tensegrity structures. Part II. Quasi-static analysis (2001) International Journal of Solids and Structures, 38 (20), pp. 3615-3629., DOI 10.1016/S0020-7683(00)00233-X, PII S002076830000233X;
Crane III, C.D., Duffy, J., Correa, J., Static analysis of tenseg-rity structures (2005) J. Mech. Design, 127 (2), pp. 257-268;
Bathe, K.J., Ramm, E., Wilson, E., Finite element formulations for large deformation dynamic analysis (1975) Int. J. Numer. Meth. Eng., 9 (2), pp. 353-386;
Bathe, K.J., Ozdemir, H., Elastic-plastic large deformation static and dynamic analysis (1976) Comput. Struct., 6 (2), pp. 81-92;
Bathe, K.J., (1996) Finite Element Procedures, , Englewood Cliffs, New Jersey: Prentice-Hall;
Murakami, H., Static and dynamic analyses of tensegrity structures. Part 1. Nonlinear equations of motion (2001) International Journal of Solids and Structures, 38 (20), pp. 3599-3613., DOI 10.1016/S0020-7683(00)00232-8, PII S0020768300002328;
Masic, M., Skelton, R.E., Gill, P.E., Algebraic tensegrity form-finding (2005) International Journal of Solids and Structures, 42 (16-17), pp. 4833-4858., DOI 10.1016/j.ijsolstr.2005.01.014, PII S0020768305000351;
Deng, H., Kwan, A.S.K., Unified classification of stability of pin-jointed bar assemblies (2005) International Journal of Solids and Structures, 42 (15), pp. 4393-4413., DOI 10.1016/j.ijsolstr.2005.01.009, PII S0020768305000223;
Zhang, J.Y., Ohsaki, M., Adaptive force density method for form-finding problem of tensegrity structures (2006) International Journal of Solids and Structures, 43 (18-19), pp. 5658-5673., DOI 10.1016/j.ijsolstr.2005.10.011, PII S0020768305005858;
Ohsaki, M., Zhang, J.Y., Stability conditions of prestressed pin-jointed structures (2006) International Journal of Non-Linear Mechanics, 41 (10), pp. 1109-1117., DOI 10.1016/j.ijnonlinmec.2006.10.009, PII S0020746206000904;
Pelegrino, S., Calladine, C.R., Matrix analysis of statically and kinematically indeterminate frameworks (1986) International Journal of Solids and Structures, 22 (4), pp. 409-428;
Tran, H.C., Lee, J., Advanced form-finding for cable-strut structures (2010) Int. J. Solids Struct., 47 (14-15), pp. 1785-1794
CORRESPONDENCE ADDRESS: Lee, J.; Department of Architectural Engineering, Free Form Architecture Institute, Sejong University, 98 Kunja Dong, Kwangjin Ku, Seoul 143-747, South Korea; email: jhlee@sejong.ac.kr
ISSN: 05677718
CODEN: AMSNE
DOI: 10.1007/s10409-011-0520-2
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Acta Mech Sin
DOCUMENT TYPE: Article
SOURCE: Scopus
Shi, T.a , Lu, J.a b , Yao, L.a , Du, Y.a
On a type of single-curved cable-strut grids generated by semi-regular tensegrity
(2011) Applied Mechanics and Materials, 66-68, pp. 1781-1785.
http://www.scopus.com/inward/record.url?eid=2-s2.0-79961205703&partnerID=40&md5=a74aed3203ad5283cb1b1daa74c96ab8
AFFILIATIONS: School of Civil Engineering, Southeast University, Nanjing, China;
Key Lab. of Concrete and Prestressed Concrete Structures of Ministry of Education, Southeast University, Nanjing, China
ABSTRACT: Tensegrity is a novel structure which attracts structure engineers' interest because of its light weight and efficient structural behavior. Nowadays researches are mainly concentrated in the area of regular and irregular tensegrity, both of which are not suitable in many situations on account of their shapes or member length conditions. Thus, a new concept of semi-regular tensegrity was proposed in this paper. Based on the singular value decomposition of equilibrium matrix, an enumerative algorithm for the form-finding of semi-regular tensegrity was presented. According to the distribution of the minimum singular value of matrix, the configuration of semi-regular tensegrity was discovered. The obtained tensegrity was used as modulus for the generation of single curved cable-strut grid. A numerical example was illustrated to indicate that the proposed tensegrity modulus was feasible and advantageous in constructing single-curved tensegrity grid. Finally, the future research in the area of semi-regular tensegrity and its application was prospected. © (2011) Trans Tech Publications, Switzerland.
AUTHOR KEYWORDS: Equilibrium matrix; Self-equilibrium; Semi-regular tensegrity; Single-curved grid
INDEX KEYWORDS: Enumerative algorithms; Equilibrium matrix; Form-finding; Light weight; matrix; Minimum singular value; Novel structures; Numerical example; Self-equilibrium; Single-curved grid; Structural behaviors; Tensegrities, Behavioral research; Cables; Industrial engineering; Singular value decomposition; Struts, Manufacture
REFERENCES: Kenner, H., (1976) Geodesic Math and How to use It, , University of California Press, Berkeley, California;
Paul, C., Lipson, H., Cuevas, F.V., (2005) Genetic and Evolutionary Computation Conference, pp. 3-10., Washington, DC, USA;
Motro, R., Geodesic space structures (1990) Special Issue of the International Journal of Space Structures, 5, pp. 343-354;
Motro, R., (2003) Tensegrity Structural Systems for the Future, , UK. Herms Science Publishing Limited, Kogan Page Limited;
Pellegrino, S., Calladine, C.R., (1986) Int. J. Solids Struct., 22, pp. 409-428;
Pellegrino, S., (1993) Int. J. Solids Struct., 30, pp. 3025-3035;
Hanaor, A., (1994) Int. J. Space Struct., 9, pp. 227-238;
Pellegrino, S., (1990) Int. J. Solids Struct., 26, pp. 1329-1350
CORRESPONDENCE ADDRESS: Lu, J.; School of Civil Engineering, Southeast University, Nanjing, China; email: davidjingyu@gmail.com
SPONSORS: University of Kentucky Lexington; Huazhong University of Science and Technology
CONFERENCE NAME: 2011 International Conference on Mechanical Materials and Manufacturing Engineering, ICMMME 2011
CONFERENCE DATE: 20 June 2011 through 22 June 2011
CONFERENCE LOCATION: Nanchang
coden 85969
ISSN: 16609336
ISBN: 9783037851852
DOI: 10.4028/www.scientific.net/AMM.66-68.1781
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Appl. Mech. Mater.
DOCUMENT TYPE: Conference Paper
SOURCE: Scopus
Valipour, M.a , Sadeghi, A.b
Investigation on the effects of depth-to-span ratio of tensegrity flat grids on their seismic behavior
(2011) International Journal of Space Structures, 26 (1), pp. 59-69.
http://www.scopus.com/inward/record.url?eid=2-s2.0-79952925431&partnerID=40&md5=b4154709416e956dbf86b9f3163695d2
AFFILIATIONS: Arian Shahr Bonyan Consulting Engineers CO., Iran;
Azarbaijan University of T.M. Tabriz, Iran
ABSTRACT: Tensegrity state is a stable self-equilibrated state of a spatial system that contains a non-continuous set of compressive elements (struts) inside a continuous set of self-tensioned elements (cables).At the present study, the seismic behavior of double layer flat tensegrity grids consisted of quadrangular tensegrity prisms, have been investigated by carrying out nonlinear full transient time-history dynamic analysis. In order to determine the effects of depth-to-span ratio on seismic behavior of flat tensegrity grids, several non-linear time history analyses have been performed by ANSYS finite element program. Three 1/10, 1/12 & 1/15 grid depth-to-span ratios have been considered for investigation. Then the effects of depth-to-span ratio on seismic behavior of tensegrity flat grids have been determined. It is shown that these systems are sensitive and vulnerable against seismic excitations.Based on the obtained results, some design recommendations have been presented regarding to the seismic behavior of these systems.
AUTHOR KEYWORDS: depth-to-span ratio; initial strain; non-linear time history analysis; seismic behavior; tensegrity flat grids
INDEX KEYWORDS: initial strain; Non-linear; Seismic behavior; Span ratios; Tensegrities, Dynamic analysis; Seismic response, Seismic design
REFERENCES: Ben Kahla, N., Seismic performance of tensegrity systems (2001) IASS Symposium, , Nagoya;
Wroldsen, A.S., (2007) Modeling and Control of Tensegrity Structures, , Department of Marine Technology, Norwegian University of Science and Technology PhD Thesis;
Sadeghi, A., Seifollahi, F., Seismic behavior of tensegrity barrel vaults (2009) Proceedings of the International Association for Shell and Spatial Structures (IASS) Symposium, pp. 2263-2273., Valencia;
ANSYS Help Theory Reference;
Ghandi, E., Abedi, K., Investigation into the stability behavior of flat tensegrity grids (2007) Proceedings of the International Association for Shell and Spatial Structures (IASS) Symposium;
Ishikawa, K., Kato, S., Dynamic Buckling Behavior of Single and Double Layer Latticed Domes due to Vertical Earthquake Motions (1993) Space Structures 4: Proceedings of the Fourth International Conference of Space Structures, 1, pp. 466-175., Park, G.A.R. ed., Thomas Telford;
(2005) Iranian Code of Practice for Seismic Resistant Design of Buildings, Standard No.2800-05, , Permanent committee for Revising, 3rd Ed, Building and Housing Research Center, Iran;
Valipour, M., (2009) Seismic Behaviour of Tensegrity Flat Grid Structures, , M.SC. thesis, Azarbaijan University of T.M
CORRESPONDENCE ADDRESS: Sadeghi, A.; Azarbaijan University of T.M. TabrizIran; email: arjang_sadeghi@yahoo.com
ISSN: 09560599
CODEN: ISSTE
DOI: 10.1260/0266-3511.26.1.59
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Int J Space Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Liapi, K.A.a , Kim, J.b
Double-layer tensegrity grids for architectural applications: In search of new morphologies
(2010) Structures and Architecture - Proceedings of the 1st International Conference on Structures and Architecture, ICSA 2010, pp. 1554-1560.
http://www.scopus.com/inward/record.url?eid=2-s2.0-84863023575&partnerID=40&md5=30fd6c8e832369e468fb44b9737fae36
AFFILIATIONS: University of Patras, Greece;
Chung-Ang University, South Korea
ABSTRACT: Inspired by the tensegrity principle, architects and engineers have developed concepts of space structures most of which occur from the assembly of identical tensegrity units of simple geometry. To enrich the morphological array of the possible applications of tensegrity in architecture, the authors have investigated new configurations of such structures. Since most studied concepts of tensegrity structures were of regular geometry, emphasis in this paper was placed on the exploration of less symmetrical surface geometries such as those characterized by growth and similarity in space; specifically the geometric configuration of tensegrity surface structures of helical has been studied. A methodology for the geometric construction of helical tensegrity structure that occur from the assembly of self similar tensegrity units of growing sizes has also been developed and presented. © 2010 Taylor & Francis Group, London.
INDEX KEYWORDS: Double layers; Geometric configurations; Geometric construction; Regular geometry; Self-similar; Simple geometries; Space structure; Surface geometries; Tensegrities; Tensegrity structure, Geometry, Architecture
REFERENCES: Hanaor, A., (1998) Tensegrity Theory and Application, in beyond the Cube, pp. 385-408., J. Francois Gabriel (ed), John Wiley & Sons, Inc., New York;
Liapi, K.A., Geometric configuration and graphical representation of tensegrity spherical networks (2001) Proceedings, Association for Computer Aided Design in Architecture (ACADIA) 2001: Re-Inventing the Discourse, pp. 258-267., October 17-20, 2001, Buffalo, New York;
Liapi, K.A., A visualization method for the morphological exploration of tensegrity structures (2001) Proceedings of the Fifth International Conference on Information Visualization, pp. 523-528., 2001;
Liapi, K.A., A novel portable and collapsible tensegrity unit for the rapid assembly of tensegrity networks (2002) Proceedings of the Fifth International Conference on Space Structures, International Association of Space Structures, pp. 39-46., Surrey, UK, 2002;
Liapi, K.A., Kim, J., A parametric approach to the design of vaulted tensegrity networks (2004) International Journal of Architectural Computing (IJAC), (2), pp. 248-262;
Liapi, K.A., Kim, J., Tensegrity structures of helical shape (2009) A Parametric Approach, Ecaade 2009, pp. 286-292;
Motro, R., Tensegrity systems: The state of the art (1992) International Journal of Space Structures, pp. 75-82;
Motro, R., Tensegrity: The state of the art (2002) Space Structures, 5, pp. 97-106., Thomas Telford (ed.), London;
Wang, B.B., Li, Y.Y., Cable-strut systems of non-contiguous strut configurations - Morphological study (2005) Journal of the International Association for Shell and Spatial Structures, 46 (147), pp. 23-39
CORRESPONDENCE ADDRESS: Liapi, K.A.; University of PatrasGreece
SPONSORS: SECIL - Companhia Geral de Cal e Cimento; BETAR - Consultores; European Convention for Constructional Steelwork (ECCS); Int. Assoc. Bridge Maint. Saf. (IABMAS); Int. Assoc. Bridge Struct. Eng. (IABSE)
CONFERENCE NAME: 1st International Conference on Structures and Architecture, ICSA 2010
CONFERENCE DATE: 21 July 2010 through 23 July 2010
CONFERENCE LOCATION: Guimaraes
coden 88340
ISBN: 9780415492492
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Struct. Archit. - Proc. Int. Conf. Struct. Archit., ICSA
DOCUMENT TYPE: Conference Paper
SOURCE: Scopus
Jensen, D.W.
Using external robots instead of internal mandrels to produce composite lattice structures
(2010) Proceedings of the 10th International Conference on Textile Composites - TEXCOMP 10: Recent Advances in Textile Composites, pp. 88-94.
http://www.scopus.com/inward/record.url?eid=2-s2.0-79952424841&partnerID=40&md5=756ac162f539485767e95e8fac4e1f3b
AFFILIATIONS: Department of Civil Engineering, Brigham Young University, Provo, UT 84602, United States
ABSTRACT: An advanced three-dimensional braiding process has been developed that uses external supports in lieu of traditional internal mandrels to continuously produce complex composite lattice structures (such as the highly efficient IsoTruss® structures and a variety of next-generation structural lattice configurations). The method described here, partially based on U.S. Patent #7132027, produces high quality composite grid structures without using an internal mandrel and without the need for an autoclave. The outer geometry is defined by mechanical or robotic external hooks. The inner geometry including member intersections is defined using principles of tensegrity. Individual member straightness is achieved by maintaining axial tensile forces on the tows. The individual members comprising these lattice structures are highly-consolidated due to the radial compression forces applied by individual braided sleeves surrounding each member, resulting in high fiber volume fractions and low void contents. Interweaving of the braided sleeves and/or the tows comprising the members themselves secures the connections at the intersections of different members. These structures will be continuously fabricated at the rate of approximately 1 m/min (∼3 ft/min). The result is a cost-effective continuous process for fabricating high quality, environmentally friendly, complex geometry, open lattice structures out of advanced composite materials.
INDEX KEYWORDS: Advanced composite materials; Axial tensile forces; Complex composites; Complex geometries; Composite lattices; Continuous process; Environmentally-friendly; Fiber volume fractions; Grid structures; High quality; Lattice configuration; Lattice structures; Radial compression; Tensegrities; Void contents, Geometry; Textiles; Void fraction, Textile processing
REFERENCES: Jensen, D.W., Strong, A.B., Robots and composites: From star wars to plant site (2007) Composites Manufacturing, 112, pp. 46-51., October, ACMA;
Dawson, D., New twist in cycling: A truss bikers can trust (2010) High-performance Composites, pp. 46-48., March, Composites World, cover and;
Kesler, S.L., Jensen, D.W., Consolidation and interweaving of composite members by a continuous manufacturing process (2007) Digital Proceedings of the Sixth International Conference on Composite Science and Technology, p. 15., Durban, South Africa, ISBN: 1-86840-642-3, Jan. 22-24, 2007;
Jensen, D.W., Automated continuous manufacturing of composite grid structures (2010) 21 st Annual International SICOMP Conference, , presented at, Pitea, Sweden, June 3-4, 2010;
Hansen, S.M., Jensen, D.W., Influence of consolidation and interweaving on compression behavior of IsoTruss™ Structures (2004) Proceedings of the Design and Nature 2004 Conference, , Rhodes, Greece, Jun. 28-30, 2004;
Jensen, M.J., Jensen, D.W., Continuous manufacturing of cylindrical composite lattice structures (2010) International Conference on Textile Composites (TEXCOMP10), , presented at the, Oct. 26-28, 2010;
Strong, A.B., Jensen, D.W., The ultimate composite structure (2002) Composites Fabrication, pp. 22-27., Aug. 2002
CORRESPONDENCE ADDRESS: Jensen, D. W.; Department of Civil Engineering, Brigham Young University, Provo, UT 84602, United States
CONFERENCE NAME: 10th International Conference on Textile Composites: Recent Advances in Textile Composites, TEXCOMP 10
CONFERENCE DATE: 26 October 2010 through 28 October 2010
CONFERENCE LOCATION: Lille
coden 84041
ISBN: 9781605950266
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Proc. Int. Conf. Text. Compos. - TEXCOMP: Recent Adv. Text. Compos.
DOCUMENT TYPE: Conference Paper
SOURCE: Scopus
Luo, Y.-Z.
Recent advances in configurations in spatial structures
(2010) International Journal of Structural Engineering, 1 (3-4), pp. 397-411.
http://www.scopus.com/inward/record.url?eid=2-s2.0-82055185336&partnerID=40&md5=a815d76718f54c4fc3c43354d827858c
AFFILIATIONS: Space Structures Research Center, Zhejiang University, Hangzhou, 310058, China
ABSTRACT: This paper presents a summary of the author's recent work on the configuration of spatial structures. To better satisfy architecture and engineering requirements, the paper introduces a technique of reconstructing freestyle 3D objects with grid space structures. With this technique, irregular and complex configurations can be easily modelled, which has a great potential in modelling of sculptures and bionic structures. Then several new types of deployable structures, which are based on linkage mechanisms including Bricard linkages and double chain linkages, are proposed. The kinetic behaviour of these deployable structures is investigated by geometrical analysis. And their possible applications in retractable roofs are also explored. Meanwhile, the paper proposes a practical application of structures with changeable configurations - a novelty erection technology based on expandable mechanisms. Finally, the paper presents some new advances in form-finding of tensegrity structures and shape control of tensegrity structures. © 2010 Inderscience Enterprises Ltd.
AUTHOR KEYWORDS: Deployable structures; Freestyle shape; Kinetic analysis; Mechanism; Reconstruction
REFERENCES: Baker, J.E., An analysis of Bricard linkages (1980) Mechanism and Machine Theory, 15, pp. 267-286;
Bricard, R., Mémoire sur la théorie de l'octacdre articulé (1897) Journal de Mathématiques Pures et Appliquées, 3, pp. 113-148;
Bricard, R., (1927) Leçons de Cinématique, 2, pp. 7-12., Gauthier-Villars, Paris;
Chen, Y., You, Z., Tarnai, T., Threefold-symmetric Bricard linkages for deployable structures (2005) International Journal of Solids and Structures, 42, pp. 2287-2301;
Domer, B., Smith, I.F.C., An active structure that learns (2005) Journal of Computing in Civil Engineering, 19 (1), pp. 16-24., DOI 10.1061/(ASCE)0887-3801(2005)19:1(16);
Dong, S., Gao, B., Zhao, Y., The application of multi-stage and multi-span grid trusses in Guangdong Nanhai Buddha statue (1997) Proceeding of the 8th Symposium of Spatial Structures, (In Chinese), , Guangzhou, China;
Edberg, D.L., Control of flexible structures by applied thermal gradients (1987) AIAA Journal, 25, pp. 877-883;
Fest, E., Shea, K., Domer, B., Smith, I.F.C., Adjustable tensegrity structures (2003) Journal of Structural Engineering, 129 (4), pp. 515-526., DOI 10.1061/(ASCE)0733-9445(2003)129:4(515);
Kawaguchi, M., Abe, M., On some characteristics of Pantadome system (2002) IASS Proc., Lightweight Structures in Civil Engineering, pp. 51-57., Warsaw, Poland;
Li, N., Luo, Y., Modeling method of bionic space structures (2007) The 3rd International Conference on Steel and Composite Structures, pp. 1005-1009., Manchester, UK;
Luo, Y., Lu, J., Geometrically non-linear force method for assemblies with infinitesimal mechanisms (2006) Computers and Structures, 84 (31-32), pp. 2194-2199., DOI 10.1016/j.compstruc.2006.08.063, PII S0045794906002549;
Luo, Y., Mao, D., You, Z., On a type of radially retractable plate structures (2007) International Journal of Solids and Structures, 44 (10), pp. 3452-3467., DOI 10.1016/j.ijsolstr.2006.09.035, PII S0020768306004057;
Luo, Y.-Z., Shen, Y.-B., Xu, X., Construction method for cylindrical latticed shells based on expandable mechanisms (2007) Journal of Construction Engineering and Management, 133 (11), pp. 912-915., DOI 10.1061/(ASCE)0733-9364(2007)133:11(912);
Luo, Y., Yu, Y., Liu, J., A retractable structure turning outwards for deployment (2007) International Journal of Solids and Structures, 44, pp. 3452-3467;
Mao, D., Luo, Y., You, Z., Planar closed loop double chain linkages (2009) Mechanism and Machine Theory, 44, pp. 850-859;
Micheletti, A., Williams, W.O., A marching procedure for form-finding of tensegrity structures (2007) Journal of Mechanics of Materials and Structures, 2, pp. 857-882;
Paul, C., Lipson, H., Cuevas, F.J.V., Evolutionary form-finding of tensegrity structures (2005) GECCO 2005 - Genetic and Evolutionary Computation Conference, pp. 3-10., DOI 10.1145/1068009.1068011, GECCO 2005 - Genetic and Evolutionary Computation Conference;
Pellegrino, S., (1986) Mechanics of Kinematically Indeterminate Structures', , PhD dissertation University of Cambridge, Cambridge;
Pellegrino, S., Green, C., Guest, S.D., Watt, A., (2000) SAR Advanced Deployable Structure, , Technical report, Department of Engineering, University of Cambridge, Cambridge, UK;
Rieffel, J., Valero-Cuevas, F., Lipson, H., Automated discovery and optimization of large irregular tensegrity structures (2009) Computers and Structures, 87, pp. 368-379;
Shea, K., Fest, E., Smith, I.F.C., Developing intelligent tensegrity structures with stochastic search (2002) Advanced Engineering Informatics, 16, pp. 21-40;
Tibert, A.G., Pellegrino, S., Review of form-finding methods for tensegrity structures (2003) International Journal of Space Structures, 18, pp. 209-223;
Valcárce, J.P., Escrig, F., Recent advances in the analysis of expandable structures (1996) Mobile and Rapidly Assembled Structures II 45-54, , Computational Mechanics Publications;
Vassart, N., Motro, R., Multiparametered formfinding method: Application to tensegrity systems (1999) International Journal of Space Structures, 14 (2), pp. 147-154., DOI 10.1260/0266351991494768;
Xu, X., Luo, Y., Multiobjective shape control of prestressed structures with genetic algorithms, Proceedings of the institution of mechanical engineers, part G (2008) Journal of Aerospace Engineering, 222, pp. 1139-1147;
Xu, X., Luo, Y., Form-finding of nonregular tensegrities using a genetic algorithm (2009) Mechanics Research Communications, , in press;
Zhang, L., Maurin, B., Motro, R., Form-finding of nonregular tensegrity systems (2006) ASCE Journal of Structural Engineering, 132, pp. 1435-1440
CORRESPONDENCE ADDRESS: Luo, Y.-Z.; Space Structures Research Center, Zhejiang University, Hangzhou, 310058, China; email: luoyz@zju.edu.cn
ISSN: 17587328
DOI: 10.1504/IJSTRUCTE.2010.033490
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Int. J. Struct. Eng.
DOCUMENT TYPE: Article
SOURCE: Scopus
Tran, H.C., Lee, J.
Self-stress design of tensegrity grid structures with exostresses
(2010) International Journal of Solids and Structures, 47 (20), pp. 2660-2671. Cited 8 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-77955469460&partnerID=40&md5=006eeb926e42c0eaf2f55eff47015d9c
AFFILIATIONS: Department of Architectural Engineering, Sejong University, 98 Kunja Dong, Kwangjin Ku, Seoul 143-747, South Korea
ABSTRACT: A numerical method is presented for initial self-stress design of tensegrity grid structures with exostresses, which is defined as a linear combination of the coefficients of independent self-stress modes. A discussion on proper division of the number of member groups for the purpose of existence of a single integral feasible self-stress mode has been explicitly given. Dummy elements to transform the tensegrity grid structure with statically indeterminate supports into self-stressed pin-jointed system without supports are employed. The unilateral properties of the stresses in cables and struts are taken into account. Evaluation of the stability for the structure is also considered. Several numerical examples are presented to demonstrate the efficiency and robustness in searching initial single integral feasible self-stress mode for tensegrity grid structures. © 2010 Elsevier Ltd. All rights reserved.
AUTHOR KEYWORDS: Exostresses; Force density method; Self-stress design; Singular value decomposition; Tensegrity grid structures
INDEX KEYWORDS: Force density method; Force density methods; Grid structures; Self-stresses; Tensegrities, Design; Numerical methods; Wavelet transforms, Singular value decomposition
REFERENCES: Barnes, M.R., Form finding and analysis of tension structures by dynamic relaxation (1999) International Journal of Space Structures, 14 (2), pp. 89-104;
Connelly, R., Rigidity and energy (1982) Inventiones Mathematicae, 66 (1), pp. 11-33;
Connelly, R., Terrell, M., Globally rigid symmetric tensegrities (1995) Structural Topology, 21, pp. 59-78;
Connelly, R., Tensegrity structures: Why are they stable? (1999) Rigidity Theory and Applications, pp. 47-54;
Estrada, G., Bungartz, H., Mohrdieck, C., Numerical form-finding of tensegrity structures (2006) International Journal of Solids and Structures, 43 (2223), pp. 6855-6868;
Fuller, R.B., (1975) Synergetics-Explorations in the Geometry of Thinking, , Collier Macmillan Publishing Co., Inc. London, UK;
Guest, S., The stiffness of prestressed frameworks: A unifying approach (2006) International Journal of Solids and Structures, 43 (34), pp. 842-854;
Juan, S.H., Tur, J.M.M., Tensegrity frameworks: Static analysis review (2008) Mechanism and Machine Theory, 43 (7), pp. 859-881;
Masic, M., Skelton, R., Gill, P., Algebraic tensegrity form-finding (2005) International Journal of Solids and Structures, 42 (1617), pp. 4833-4858;
Meyer, C.D., (2000) Matrix Analysis and Applied Linear Algebra, , SIAM;
Micheletti, A., Williams, W.O., A marching procedure for form-finding for tensegrity structures (2007) Journal of Mechanics of Materials and Structures, 2 (5), pp. 101-126;
Motro, R., Najari, S., Jouanna, P., Static and dynamic analysis of tensegrity systems (1986) Proceedings of the International Symposium on Shell and Spatial Structures, Computational Aspects, pp. 270-279., Springer NY;
Motro, R., (2003) Tensegrity: Structural Systems for the Future, , Kogan Page Science London;
Murakami, H., Static and dynamic analyses of tensegrity structures. Part II. Quasi-static analysis (2001) International Journal of Solids and Structures, 38 (20), pp. 3615-3629., DOI 10.1016/S0020-7683(00)00233-X, PII S002076830000233X;
Ohsaki, M., Zhang, J.Y., Stability conditions of prestressed pin-jointed structures (2006) International Journal of Non-linear Mechanics, 41 (10), pp. 1109-1117;
Pellegrino, S., Calladine, C.R., Matrix analysis of statically and kinematically indeterminate frameworks (1986) International Journal of Solids and Structures, 22 (4), pp. 409-428;
Pellegrino, S., Structural computations with the singular value decomposition of the equilibrium matrix (1993) International Journal of Solids and Structures, 30 (21), pp. 3025-3035;
Quirant, J., Kazi-Aoual, M.N., Laporte, R., Tensegrity systems: The application of linear programmation in search of compatible selfstress states (2003) Journal of the International Association for Shell and Spatial Structures, 44 (1), pp. 33-50;
Quirant, J., Self-stressed systems comprising elements with unilateral rigidity: Selfstress states, mechanisms and tension setting (2007) International Journal Space Structures, 22 (4), pp. 203-214;
Rieffel, J., Valero-Cuevas, F., Lipson, H., Automated discovery and optimization of large irregular tensegrity structures (2009) Computers and Structures, 87 (56), pp. 368-379;
Sanchez, R., Maurin, B., Kazi-Aoual, M.N., Motro, R., Selfstress States identification and localization in modular tensegrity grids (2007) International Journal Space Structures, 22 (4), pp. 215-224;
Schek, H.J., The force density method for form finding and computation of general networks (1974) Computer Methods in Applied Mechanics and Engineering, 3, pp. 115-134;
Schenk, M., Guest, S.D., Herder, J.L., Zero stiffness tensegrity structures (2007) International Journal of Solids and Structures, 44 (20), pp. 6569-6583;
Tibert, G., Pellegrino, S., Review of form-finding methods for tensegrity structures (2003) International Journal of Space Structures, 18 (4), pp. 209-223;
Tran, H.C., Lee, J., Advanced form-finding of tensegrity structures (2010) Computers and Structures, 88 (34), pp. 237-246;
Tran, H.C., Lee, J., Advanced form-finding for cable-strut structures (2010) International Journal of Solids and Structures, 47 (1415), pp. 1785-1794;
Vassart, N., Motro, R., Multiparametered form finding method: Application to tensegrity systems (1999) International Journal of Space Structures, 14 (2), pp. 147-154;
Wang, B.B., (2004) Free-standing Tension Structures: From Tensegrity Systems to Cable Strut Systems, , Taylor and Francis Group London and New York;
Yang, W.Y., Cao, W., Chung, T.S., (2005) Applied Numerical Methods Using Matlab, , John Wiley and Sons New Jersey;
Zhang, L., Maurin, B., Motro, R., Form-finding of nonregular tensegrity systems (2006) Journal of Structural Engineering, 132 (9), pp. 1435-1440;
Zhang, J.Y., Ohsaki, M., Kanno, Y., A direct approach to design of geometry and forces of tensegrity systems (2006) International Journal of Solids and Structures, 43 (78), pp. 2260-2278;
Zhang, J.Y., Ohsaki, M., Adaptive force density method for form-finding problem of tensegrity structures (2006) International Journal of Solids and Structures, 43 (1819), pp. 5658-5673;
Zhang, J.Y., Ohsaki, M., Stability conditions for tensegrity structures (2007) International Journal of Solids and Structures, 44 (1112), pp. 3875-3886
CORRESPONDENCE ADDRESS: Lee, J.; Department of Architectural Engineering, Sejong University, 98 Kunja Dong, Kwangjin Ku, Seoul 143-747, South Korea; email: jhlee@sejong.ac.kr
ISSN: 00207683
DOI: 10.1016/j.ijsolstr.2010.05.020
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Int. J. Solids Struct.
DOCUMENT TYPE: Article
SOURCE: Scopus
Bagnéris, M.a , Marty, A.b , Maurin, B.a , Motro, R.a , Pauli, N.b
Pascalian forms as morphogenetic tool
(2010) Journal of the International Association for Shell and Spatial Structures, 51 (165), pp. 165-181. Cited 1 time.
http://www.scopus.com/inward/record.url?eid=2-s2.0-78649344592&partnerID=40&md5=5b8956fbcf7421116b6fbd86fdcf341e
AFFILIATIONS: LMGC UMR CNRS 5508, Université Montpellier 2, France;
Ecole Nationale Supérieure d'Architecture de Montpellier, France
ABSTRACT: Non-standard morphogenesis leads to new challenges in the design process. Recent development in spatial representation raise the architect's audacity to generate geometrically complex projects that are far from an immediate understanding. Thus, non-standard geometry results in an increased visual complexity rather than in a genuine tool for abstract representation. This paper presents "pascalian forms", a promising approach allowing geometric control based on elementary generative rules. This method is proposed as a link between physical models and the abstraction generated by numerical models to finally reach complex concepts. Some geometric potentialities are exposed to realize double-curved tensegrity grids, then extended to complete "freeform" tensegrity grids.
AUTHOR KEYWORDS: Double-curved systems; Generative tool; Non-standard morphogenesis; Parametrics; Tensegrity
INDEX KEYWORDS: Double-curved systems; Generative tool; Non-standard morphogenesis; Parametrics; Tensegrities, Abstracting; Geometry; Models; Morphology, Standards
REFERENCES: Cache, B., (1995) Earth Moves: The Furnishing of Territories, , MIT press;
Lynn, G., (1998) Animate Form, , Princeton Architectural press;
Chupin, J.P., Simonnet, C., (2005) Le Projet Tectonique, , Collection Archigraphy, Les Grands Ateliers, Infolio Editions;
Marty, A., (2004) Pascalian Forms, Essay on Curved Shapes, , Editions de l'Espérou, Montpellier;
Zorin, D., Schroder, P., (2000) Subdivision for Modeling and Animation, , courses notes, ACM SIGGRAPH;
De Boor, C., (1978) A Practical Guide to Splines, , Springer;
Farin, G., (1990) Curves and Surfaces for Computer Aided Geometric Design, A Practicle Guide, , Second Edition, Academic Press, Inc;
Demengel, G., Pouget, J.P., (1998) Modèles de Bézier, des B-splines et des Nurbs, , Ellipses, Editions marketing S.A;
Chaikin, G.M., (1974) An Algorithm for High-speed Curve Generation, (3), pp. 346-349., Computer Graphics and image processing;
De Casteljau, P., (1985) Mathématiques et CAO, Volume 2, Formes À Pôles, , Editions Hermès, Paris;
Piegl, L., Tiller, W., (1997) The Nurbs Book, , 2nd Edition, Springer;
Umlauf, G., Analysis and tuning of subdivision algorithms (2005) Proceedings of the 21st Spring Conference on Computer Graphics, , Budmerice, Slovakia;
Catmull, E., Clark, J., Recursively generated B-spline surfaces on arbitrary topological meshes (1978) Computer Aided Design, 10 (6), pp. 350-355;
Doo, D., Sabin, M., Behaviour of recursive division surfaces near extraordinary points (1978) Computer Aided Design, 10 (6), pp. 356-360;
Lane, J., Riesenfeld, R., A theoretical development for the computer generation and display of piecewise polynomial surfaces (1980) IEEE Trans. PAMI, 2 (1), p. 3546;
Zorin, D., Schröder, P., A unified framework for primal/dual quadrilateral subdivision schemes (2001) Computer Aided Geometric Design, 18 (5), pp. 429-454;
Thompson, D., (1942) On Growth and Form, , Cambridge University Press;
Motro, R., (2005) Tensegrity, Structural Systems for the Future, , Editions Hermès Lavoisier;
Nooshin, H., Disney, P., Yamamoto, C., (1993) Formian: The Programming Language of Formex Algebra, , University of Surrey Publication;
Zhang, L., Maurin, B., Motro, R., Formfinding of non regular tensegrity systems (2006) Journal of Structural Engineering, 132 (4), pp. 1435-1440;
Baudriller, H., Maurin, B., Cañadas, P., Montcourrier, P., Parmeggiani A, A., Bettache, N., Form-finding of complex tensegrity structures application to cell cytoskeleton modelling (2006) Comptes Rendus de L'Académie des Sciences - Mécanique, 334 (11), pp. 662-668;
Motro, R., Maurin, B., Silvestri, C., Tensegrity rings and the hollow rope (2006) Proceedings of the IASS Symposium, pp. 470-471., New Olympics, New Shells and Spatial Structures, Beijing, Chine;
Nguyen, A.D., Quirant, J., Cevaer, F., Dube, J.F., Study of mechanical behaviour and foldability of the pentagonal-based tensegrity ring (2007) Proceedings of the IASS Symposium, Structural Architecture, pp. 79-80., Towards the future looking to the past, Venice, Italy
CORRESPONDENCE ADDRESS: Bagnéris, M.; LMGC UMR CNRS 5508, Université Montpellier 2France; email: bagneris@lmgc.univ-montp2.fr
ISSN: 1028365X
CODEN: JIASF
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: J Int Assoc Shell Spat Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Tran, H.C., Lee, J.
Initial self-stress design of tensegrity grid structures
(2010) Computers and Structures, 88 (9-10), pp. 558-566. Cited 9 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-77950628359&partnerID=40&md5=1d30001729d8992e95b72d7063732a97
AFFILIATIONS: Department of Architectural Engineering, Sejong University, 98 Kunja Dong, Kwangjin Ku, Seoul 143-747, South Korea
ABSTRACT: A numerical method is presented for initial self-stress design of tensegrity grid structures, which is defined as the linear combination of the coefficients of independent self-stress modes. A discussion on proper division of the number of member groups for the purpose of existence of a single integral feasible self-stress mode has been explicitly given. The unilateral properties of the stresses in cables and struts are taken into account. Evaluation of the stability for the structure is also considered. Three numerical examples are presented to demonstrate the efficiency and robustness in searching initial feasible self-stress mode for tensegrity grid structures. © 2010 Elsevier Ltd. All rights reserved.
AUTHOR KEYWORDS: Force density method; Self-stress design; Singular value decomposition; Tensegrity grid structures
INDEX KEYWORDS: Force density methods; Grid structures; Self-stress design; Self-stresses; Tensegrities, Design; Numerical methods, Singular value decomposition
REFERENCES: Fuller, R.B., (1975) Synergetics-explorations in the geometry of thinking, , Macmillan Publishing Co Inc., London, UK;
Wang, B.B., (2004) From tensegrity systems to cable strut systems, , Taylor and Francis Group, London and New York;
Schek, H.J., The force density method for form finding and computation of general networks (1974) Comput Methods Appl Mech Eng, 3, pp. 115-134;
Motro, R., Najari, S., Jouanna, P., Static and dynamic analysis of tensegrity systems (1986) Proceedings of the international symposium on shell and spatial structures, computational aspects, pp. 270-279., Springer, NY;
Barnes, M.R., Form finding and analysis of tension structures by dynamic relaxation (1999) Int J Space Struct, 14 (2), pp. 89-104;
Vassart, N., Motro, R., Multiparametered formfinding method: application to tensegrity systems (1999) Int J Space Struct, 14 (2), pp. 147-154;
Masic, M., Skelton, R., Gill, P., Algebraic tensegrity form-finding (2005) Int J Solids Struct, 42 (16-17), pp. 4833-4858;
Zhang, J.Y., Ohsaki, M., Adaptive force density method for form-finding problem of tensegrity structures (2006) Int J Solids Struct, 43 (18-19), pp. 5658-5673;
Estrada, G., Bungartz, H., Mohrdieck, C., Numerical form-finding of tensegrity structures (2006) Int J Solids Struct, 43 (22-23), pp. 6855-6868;
Micheletti, A., Williams, W.O., A marching procedure for form-finding for tensegrity structures (2007) J Mech Mater Struct, 2 (5), pp. 101-126;
Zhang, L., Maurin, B., Motro, R., Form-finding of nonregular tensegrity systems (2006) J Struct Eng - ASCE, 132 (9), pp. 1435-1440;
Rieffel, J., Valero-Cuevas, F., Lipson, H., Automated discovery and optimization of large irregular tensegrity structures (2009) Comput Struct, 87 (5-6), pp. 368-379;
Tran, H.C., Lee, J., Advanced form-finding of tensegrity structures (2010) Comput Struct, 88 (3-4), pp. 237-246;
Tibert, A.G., Pellegrino, S., Review of form-finding methods for tensegrity structures (2003) Int J Space Struct, 18 (4), pp. 209-223;
Juan, S.H., Tur, J.M.M., Tensegrity frameworks: static analysis review (2008) Mech Mach Theor, 43 (7), pp. 859-881;
Quirant, J., Kazi-Aoual, M.N., Laporte, R., Tensegrity systems: the application of linear programmation in search of compatible selfstress states (2003) J Int Assoc Shell Spatial Struct, 44 (1), pp. 33-50;
Quirant, J., Self-stressed systems comprising elements with unilateral rigidity: selfstress states, mechanisms and tension setting (2007) Int J Space Struct, 22 (4), pp. 203-214;
Sanchez, R., Maurin, B., Kazi-Aoual, M.N., Motro, R., Selfstress states identification and localization in modular tensegrity grids (2007) Int J Space Struct, 22 (4), pp. 215-224;
Motro, R., (2003) Tensegrity: structural systems for the future, , Kogan Page Science, London;
Connelly, R., Rigidity and energy (1982) Invent Math, 66 (1), pp. 11-33;
Connelly, R., Terrell, M., Globally rigid symmetric tensegrities (1995) Topol Struct, 21, pp. 59-78;
Connelly, R., Tensegrity structures: why are they stable? (1999) Rigidity theory and applications, pp. 47-54., Thorpe M.F., and Duxbury P.M. (Eds), Kluwer Academic Publishers;
Meyer, C.D., (2000) Matrix analysis and applied linear algebra, , SIAM;
Pellegrino, S., Structural computations with the singular value decomposition of the equilibrium matrix (1993) Int J Solids Struct, 30 (21), pp. 3025-3035;
Ohsaki, M., Zhang, J.Y., Stability conditions of prestressed pin-jointed structures (2006) Int J Nonlinear Mech, 41 (10), pp. 1109-1117;
Murakami, H., Static and dynamic analyses of tensegrity structures. Part II. Quasi-static analysis (2001) Int J Solids Struct, 38 (20), pp. 3615-3629;
Guest, S., The stiffness of prestressed frameworks: a unifying approach (2006) Int J Solids Struct, 43 (3-4), pp. 842-854;
Bathe, K.J., (1996) Finite element procedures, , Prentice-Hall;
Yang, W.Y., Cao, W., Chung, T.S., (2005) Applied numerical methods using Matlabs, , Wiley InterScience, United States of America;
Pellegrino, S., Calladine, C.R., Matrix analysis of statically and kinematically indeterminate frameworks (1986) Int J Solids Struct, 22 (4), pp. 409-428
CORRESPONDENCE ADDRESS: Lee, J.; Department of Architectural Engineering, Sejong University, 98 Kunja Dong, Kwangjin Ku, Seoul 143-747, South Korea; email: jhlee@sejong.ac.kr
ISSN: 00457949
CODEN: CMSTC
DOI: 10.1016/j.compstruc.2010.01.011
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Comput Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Fagerström, G.
Dynamic relaxation of tensegrity structures
(2009) 2009 TAIWAN CAADRIA: Between Man and Machine - Integration, Intuition, Intelligence - Proceedings of the 14th Conference on Computer-Aided Architectural Design Research in Asia, pp. 553-562.
http://www.scopus.com/inward/record.url?eid=2-s2.0-84873505781&partnerID=40&md5=d9febe3c0ff7c547cc0e267e2abb719c
AFFILIATIONS: London Metropolitan University, Department of Architecture and Spatial Design, 40-44 Holloway Road, London N78JL, United Kingdom
ABSTRACT: The structural hierarchy inherent to tensegrities enables a building skin that performs on multiple levels simultaneously. While having one function in the global building mechanics, its individual components can work as self-contained systems balancing tensile and compressive forces locally within them. The behavior of elements under load is linear and thus describable analytically. When these are aggregated in a tensegrity however, the performance of the assembly as a whole is non-linear. In order to investigate further these relationships a method of dynamic relaxation will be developed. This tool allows for simulation and load analysis of a complex tensegrous network, based on the relationships between force, stiffness and dimension formulated by Young and the computational means provided by a parametric/associative modeling environment. This research investigates the possible form-finding through computational means of a double-layer tensegrity grid.
AUTHOR KEYWORDS: Dynamic; Form finding; Relaxation; Tensegrity
INDEX KEYWORDS: Compressive forces; Double layers; Dynamic relaxation; Form finding; Individual components; Load analysis; Modeling environments; Multiple levels; Relaxation; Structural hierarchies; Tensegrities; Tensegrity structure, Architectural design; Computer simulation; Dynamics, Research
REFERENCES: Fuller, R.B., (1975) Synergetics: Explorations in the Geometry of Thinking, , MacMillan Publishing Co., Inc., New York;
Gómez Jáuregui, V., (2004) Tensegrity Structures and their Application to Architecture, , MSc Thesis, School of Architecture, Queen's University Belfast;
Kilian, A., Ochsendorf, J., Particle-Spring Systems for Structural Form-Finding (2005) Journal of IASS, 46 (147);
Kono, Y., Choong, K.K., Shimada, T., Kunieda, H., An experimental investigation of a type of double layer tensegrity grids (2000) Journal of IASS, 41 (131);
Motro, R., Forms and Forces in tensegrity systems (1984) Proceedings of 3rd Int. Conf. on Space Structures, Amsterdam, pp. 180-185;
Motro, R., (2003) Tensegrity: Structural Systems for the Future, , Kogan Page Science, London and Sterling, VA;
Tibert, A.G., Pellegrino, S., Review of Form-Finding Methods for Tensegrity Structures (2003) International Journal of Space Structures, 18 (4);
White, J., (2004) Form-finding and Load Analysis of Tensegrity Structures, , MEng Dissertation in Civil and Architectural Engineering, Department of Architecture and Civil Engineering, University of Bath;
Witkin, A., (1997) Physically Based Modeling: Principles and Practice. Particle System Dynamics, , Robotics Institute, Carnegie Mellon University, Pittsburgh
CORRESPONDENCE ADDRESS: Fagerström, G.; London Metropolitan University, Department of Architecture and Spatial Design, 40-44 Holloway Road, London N78JL, United Kingdom; email: g.Fagerstrom@londonmet.ac.uk
CONFERENCE NAME: 14th Conference on Computer-Aided Architectural Design Research in Asia: Between Man and Machine - Integration, Intuition, Intelligence, 2009 TAIWAN CAADRIA
CONFERENCE DATE: 22 April 2009 through 24 April 2009
CONFERENCE LOCATION: Douliou, Yunlin
coden 95346
ISBN: 9789860180800
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: TAIWAN CAADRIA: Between Man Mach. - Integr., Intuition, Intell. - Proc. Conf. Comput.-Aided Archit. Des. Res. Asia
DOCUMENT TYPE: Conference Paper
SOURCE: Scopus
Frumar, J.a , Zhou, Y.Y.b
Kinetic tensegrity grids with 3D compressed components
(2009) ACADIA 09: reForm(): Building a Better Tomorrow - Proceedings of the 29th Annual Conference of the Association for Computer Aided Design in Architecture, pp. 255-258. Cited 3 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-84857024542&partnerID=40&md5=ee7e139fbe8dcab9f01ab4061f276bf8
AFFILIATIONS: Spatial Information Architecture Laboratory, School of Architecture and Design, RMIT University Melbourne, Australia;
Environmental and Chemical Engineering, Innovative Structures Group, RMIT University Melbourne, Australia
ABSTRACT: This paper details a series of preliminary explorations into the concept of kinetic tensegrity grids that can respond to stimuli by changing their shape, porosity, and transparency. The research presented explores double-layer tensegrity grids that utilize 3D "compressed" components. A case study demonstrates their applicability to the formation of sophisticated building envelopes that can actively or passively respond to changes in the environment. A computational form-finding tool is introduced to study design variations in real time. This tool is shown to expand the design spectrum by supporting increased complexity and revealing unexpected design potential. This research is significant as it outlines a practical methodology for conceiving responsive building systems. in particular, it illustrates an approach that synthesizes design concerns with engineering and fabrication goals.
INDEX KEYWORDS: Building envelopes; Building systems; Design spectrum; Double layers; Form-finding; Real time; Study design; Tensegrities, Computer aided design; Research, Three dimensional
REFERENCES: Burkhardt, R.W., (2008) A Practical Guide to Tensegrity Design, , http://www.angelfire.com/ma4/bob_wb/tenseg.pdf, accessed January 2009;
De Jong, G., (1998) Struck: Fundamentals of Elastic Interval Geometry, , http://lists.squeakfoundation.org/pipermailsqueak-dev/1998-October/ 015432.html, accessed December 2008;
Fuller, R.B., (1975) Synergetics: Explorations in the Geometry of Thinking, , New York: MacMillan Publishing Co;
Frumar, J.A., Burry, M.C., Xie, Y.M., Zhou, Y.Y., Tensegrity structures with 3d compressed components: Development, assembly and design (2009) Journal of The International Association for Shell and Spatial Structures;
Frumar, J.A., Zhou, Y.Y., Beyond representation : Real time form finding of tensegrity structures with 3d 'compressed' Components (2009) Computation : The New Realm of Architectural Design, 27th ECAADe Conference Proceedings;
Hanaor, A., Aspects of design of double-layer tensegrity domes (1992) International Journal of Space Structures, 7 (2), pp. 101-113;
Motro, R., Tensegrity: The state of the art (2002) Space Structures, 5, pp. 97-106., London: Thomas;
Telford, S.T., (2008) Tensegrity Complexity, in on Growth and Form: Organic Architecture and beyond, pp. 126-139., eds P. Beesley and S. Bonnemaison, Halifax : Tuns Press;
Sterk, T.D., CAAD for responsive architecture (2007) Joint Study Report 2005-2006 Auto-desk-Systems, pp. 66-70
CORRESPONDENCE ADDRESS: Frumar, J.; Spatial Information Architecture Laboratory, School of Architecture and Design, RMIT University MelbourneAustralia
CONFERENCE NAME: 29th Annual Conference of the Association for Computer Aided Design in Architecture: reForm(): Building a Better Tomorrow, ACADIA 09
CONFERENCE DATE: 22 October 2009 through 25 October 2009
CONFERENCE LOCATION: Chicago, IL
coden 89082
ISBN: 0984270507; 9780984270507
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: ACADIA: reForm(): Build. Better Tomorrow - Proc. Annu. Conf. Assoc. Comput. Aided Des. Archit.
DOCUMENT TYPE: Conference Paper
SOURCE: Scopus
Panigrahi, R., Gupta, A., Bhalla, S.
Dismountable steel tensegrity grids as alternate roof structures
(2009) Steel and Composite Structures, 9 (3), pp. 239-253. Cited 1 time.
http://www.scopus.com/inward/record.url?eid=2-s2.0-67650514276&partnerID=40&md5=be2c4b516d43f30f331928ab1effcc3f
AFFILIATIONS: Civil Engineering Department, IIT Delhi, India
ABSTRACT: This paper reviews the concept of tensegrity structures and proposes a new type of dismountable steel tensegrity grids for possible deployment as light-weight roof structures. It covers the fabrication of the prototype structures followed by their instrumentation, destructive testing and numerical analysis. First, a single module, measuring 1 m x 1 m in size, is fabricated based on half-cuboctahedron configuration using galvanised iron (GI) pipes as struts and high tensile stranded cables as tensile elements. Detailed instrumentation of the structure is carried out right at the fabrication stage. The structure is thereafter subjected to destructive test during which the strain and the displacement responses are carefully monitored. The structure is modelled and analyzed using finite element method (FEM) and the model generated is updated with the experimental results. The investigations are then extended to a 2 x 2 grid, measuring 2 m x 2 m in size, fabricated uniquely by the cohesive integration of four single tensegrity modules. After updating and validating on the 2 x 2 grid, the finite element model is extended to a 8 x 8 grid (consisting of 64 units and measuring 8 m x 8 m) whose behaviour is studied in detail for various load combinations expected to act on the structure. The results demonstrate that the proposed tensegrity grid structures are not only dismountable but also exhibit satisfactory behaviour from strength and serviceability point of view.
AUTHOR KEYWORDS: Dismountable; Finite element method (FEM); Monitoring; Strain; Tensegrity
INDEX KEYWORDS: Destructive testing; Destructive tests; Dismountable; Displacement response; Finite element method (FEM); Finite element models; Grid structures; Light weight; Load combination; Prototype structures; Roof structures; Single modules; Tensegrity; Tensegrity structure; Tensile elements, Fabrication; Galvanizing; Instruments; Iron; Monitoring; Roof coverings; Steel, Finite element method
REFERENCES: (2004), ANSYS version 9Argyris, J.H., Scharpf, D.W., Large deflection analysis of prestressed networks (1972) Journal of the Structural Division, ASCE, 98, pp. 633-654;
Batten, M., Boorman, R., Leiper, Q., Use of vibrating wire strain gauges to measure loads in tubular steel props supporting deep retaining walls (1999) Proc. of Institution of Civil Engineers, Geotechnical Engineering, 137, pp. 3-12;
Fest, E., Shea, K., Smith, I.F.C., Active tensegrity structure (2004) J. Struct. Eng., ASCE, 130, pp. 1454-1465;
Fu, F., Structural behavior and design methods of tensegrity domes (2005) J. Constr. Steel Res, 61, pp. 23-35;
Fuller, R.B., Tensile integrity structures (1962), United States Patent No. 3, 063, 521Games, C., An improved analytical model for the prediction of the nonlinear behavior of flat and curved deployable space frames (1997) J. Constr. Steel Res, 44, pp. 129-158;
Hanaor, A., Double layer tensegrity grids as deployable structures (1993) Int. J. Space Struct, 8, pp. 135-143;
IS: 800 (1984), Code of practice for general construction in steel, Bureau of Indian Standards. IS: 875II (1987), Code ofpractice for design loads (other than earthquake) for buildings and structures: Part II Imposed loads, Bureau of Indian StandardsIS: 875 III (1987), Code of practice for design loads (other than earthquake) for buildings and structures: Part III Wind loads, Bureau of Indian StandardsIS: 1239 I (1990), Mild Steel Tubes, Tubulars and Other Wrought Steel Fittings - Specification - Part I: Mild Steel Tubes, Bureau of Indian StandardsIS: 1835 (1976), Specification for Round Steel Wire for Ropes, Bureau of Indian StandardsIS: 3459 (1977), Specification for Small Wire Ropes., Bureau of Indian StandardsKebiche, K., Kazi-Aoual, M.N., Motro, R., Geometric non-linear analysis of tensegrity systems (1999) Eng. Struct, 21, pp. 864-876;
Panigrahi, R., Development, analysis and monitoring of dismountable tensegrity structure (2007), Ph. D. thesis, Department of Civil Engineering, Indian Institute of Technology DelhiQuirant, J., Kazi-Aoual, M.N., Motro, R., Designing tensegrity systems: The case of a double layer grid (2003) Eng. Struct, 25, pp. 1121-1130;
Snelson, K., (2004), http://www.kennethsnelson.net, accessed January 2005-December 2005Stem, L.P., Development of design equations for self deployable N- strut tensegrity systems (1999), M.S. Thesis, University of FloridaSultan, C., Skelton, R.E., Deployment of tensegrity structures (2003) Int. J. Solids Struct, 40, pp. 4637-4657., http://www.tml.Jp/e, Tokyo Sokki Kenkyujo Company Limited TML;
Tibert, A.G., Pellegrino, S., Deployable tensegrity reflectors for small satellites (2002) J. Spacecraft Rockets, 39, pp. 701-709;
Tibert, A.G., Pellegrino, S., Deployable tensegrity masts (2003) Proc. of 44 th AIAA/ASME/ASC/ASCE/ AHS/ASC Structures Structural Dynamics and Materials Conf. and Exhibit, pp. 1-11., Norfolk;
Vu, K.K., Liew, J.Y.R., Krishnapillai, A., Deployable tension strut structure: Conceptualization to implementation (2005) Constr. Steel Res, 62, pp. 195-206;
Vu, K.K., Liew, J.Y.R., Krishnapillai, A., Rapidly deployed tension-strut structures (2006) Proc. of 8 th Int. Conf. on Steel, Space and Composite structures, pp. 145-152., 15-17 May, Kuala Lumpur;
Wang, B.B., Li, Y.Y., Novel cable strut grids made of prisms: Parti Basic theory and design (2003) Int. J. Space Struct, 44, pp. 93-125;
You, Z., Pellegrino, S., Cable-stiffened pantographic deployable structures 2. mesh reflector (1997) AIAA J, 35, pp. 1348-1355;
Zhang, J.Y., Ohsaki, M., Adaptive force density method for form-finding problem of tensegrity structure (2006) Int. J. Solids Struct, 43, pp. 5658-5673
CORRESPONDENCE ADDRESS: Bhalla, S.; Civil Engineering Department, IIT DelhiIndia; email: sbhalla@civil.iitd.ac.in
ISSN: 12299367
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Steel Compos. Struct.
DOCUMENT TYPE: Article
SOURCE: Scopus
Cañadas, P., Maurin, B., Motro, R.
Prestressed system mechanics applied to the cytoskeleton structure [Mécanique des systémes précontraints appliquée à la structure du cytosquelette]
(2009) Mecanique et Industries, 10 (3-4), pp. 285-290.
http://www.scopus.com/inward/record.url?eid=2-s2.0-68949109764&partnerID=40&md5=90d5368fa30ba645cea20b474ccd8a5c
AFFILIATIONS: Université Montpellier 2, Laboratoire de Mécanique et Génie Civil (LMGC), UMR 5508 CNRS, Place Eugène Bataillon, CC048, 34095 Montpellier, France
ABSTRACT: These works show the pertinence and usefulness in modelling the cytoskeleton by mechanical prestressed systems. They are in the field of cellular and tissular biomechanics and two applications are proposed. We present first the form-finding of an isolated cell by non regular tensegrity systems, and then we propose to combine granular models and tensegrity analogy. A prospective extension to multicellular assemblies considering the concept of shared self-stresses, by the way of tensegrity grids, is subsequently presented. © 2009 AFM EDP Sciences.
AUTHOR KEYWORDS: Cytoskeleton; Granular media; Modelling; Tensegrity structures; Tissue
REFERENCES: Kumar, S., Maxwell, I.Z., Heisterkamp, A., Polte, T.R., Lele, T., Salanga, M., Mazur, E., Ingber, D.E., Viscoelastic retraction of single living stress fibers and its impact on cell shape, cytoskeletal organization and extracellular matrix mechanics (2006) Biophys. J, 90, pp. 3762-3773;
Fabry, B., Maksym, G., Butler, J.P., Glogauer, M., Navajas, D., Fredberg, J.J., Scaling the microrheology of living cells (2001) Phys. Rev. Lett, 87, p. 148102;
Laurent, V.M., Fodil, R., Cañadas, P., Fereol, S., Louis, B., Planus, E., Isabey, D., Partitioning of cortical and deep cytoskeleton responses from transient magnetic bead twisting (2003) Ann. Biomed. Eng, 31, pp. 1263-1278;
M. Puig-de-Morales, E.J. Millet, B. Fabry, D. Navajas, N. Wang, J.P. Butler, J.J. Fredberg, Cytoskeletal mechanics in adherent human airway smooth muscle cells : probe specificity and scaling of protein-protein dynamics. Am. J. Physiol. : Cell Phys. 287 (2004) 643-654Harris, A.K., Wild, R., Stopak, D., Silicone rubber substrata : A new wrinkle in the study of cell locomotion (1980) Science, 208, pp. 177-179;
Stamenovic, D., Mijailovic, S., Tolic-Norrelykke, I., Chen, J., Wang, N., Cell pre-stress II. Contribution of microtubules (2002) Am. J. Cell Physiol, 282, pp. 617-624;
Brangwynne, C.P., MacKintosh, F.C., Kumar, S., Geisse, N.A., Talbot, J., Mahadevan, L., Parker, K.K., Weitz, D.A., Microtubules can bear enhanced compressive loads in living cells because of lateral reinforcement (2006) J. Cell Biol, 173, pp. 733-741;
Stamenovic, D., Coughlin, M.F., The role of prestress and architecture of the cytoskeleton and deformability of cytoskeletal filaments in mechanics of adherent cells : A quantitative analysis (1999) J. Theor. Biol, 201, pp. 63-74;
Canadas, P., Laurent, V.M., Chabrand, P., Isabey, D., Wendling-Mansuy, S., Mechanisms Governing the Visco-Elastic Responses of Living Cells Assessed by Foam and Tensegrity Models (2003) Med. Biol. Eng. Comput, 416, pp. 733-739;
Stamenovic, D., Ingber, D.E., Wang, N., Fredberg, J.J., A Microstructural Approach to Cytoskeletal Mechanics Based on Tensegrity (1996) J. Theor. Biol, 181, pp. 125-136;
Wendling, S., Oddou, C., Isabey, D., Stiffening Response of a Cellular Tensegrity Model (1999) J. Theor. Biol. 1963, pp. 309-325;
Ingber, D.E., Cellular tensegrity : Defining new rules of biological design that govern the cytoskeleton (1993) J. Cell Sci, 104, pp. 613-627;
Wang, N., Naruse, K., Stamenovic, D., Fredberg, J.J., Mijailovich, S.M., Tolic-Norrelykke, I.M., Polte, T., Ingber, D.E., Mechanical behavior in living cells consistent with the tensegrity model (2001) Proceedings of the National Academy of Sciences of the USA, 98, pp. 7765-7770., 14;
Wendling, S., Cañadas, P., Oddou, C., Meunier, A., Interrelations between elastic energy and strain in a tensegrity model; contribution to the analysis on the mechanical response in living cells (2002) Comput. Methods Biomech. Biomed. Eng, 5, pp. 1-6;
S. Wendling, P. Canadas, and P. Chabrand, Toward a generalized tensegrity model describing the mechanical behaviour of the cytoskeleton structure, Cornput. Methods Biornech. Biorned. Eng. 1 (2003) 1-8Sultan, C., Stamenovic, D., Ingber, D.E., A computational tensegrity model predicts dynamic rheological behaviors in living cells (2004) Annals Biomed. Eng, 32, pp. 520-530;
Cañadas, P., Laurent, V.M., Oddou, C., Isabey, D., Wendling, S., A Cellular Tensegrity Model to Analyse the Structural Viscoelasticity of the Cytoskeleton (2002) J. Theor. Biol, 218, pp. 155-173;
Cañadas, P., Wendling-Mansuy, S., Isabey, D., Frequency response of a viscoelastic trensegrity structure : Structural rearrangement contribution to cell dynamics (2006) ASME J. Biomech. Eng, 128, pp. 487-495;
Zhang, L., Maurin, B., Motro, R., Form-finding of non regular tensegrity systems (2006) Journal of Structural Engineering, 132, pp. 1435-1440;
Baudriller, H., Maurin, B., Cañadas, P., Montcourrier, P., Parmeggiani, A., Bettache, N., (2006) Form-finding of complex tensegrity structures application to cell cytoskeleton modelling Comptes Rendus de l'Académie des Sciences Mécanique, 334, pp. 662-668;
Milan, J.L., Wendling-Mansuy, S., Jean, M., Chabrand, P., Divided medium-based model for analyzing the dynamic reorganization of the cytoskeleton during cell deformation (2007) Biomechan. Model Mechanobiol, 6, pp. 373-390;
Maurin, B., Cañadas, P., Baudriller, H., Montcourrier, P., Bettache, N., Mechanical model of cytoskeleton structuration during cell adhesion and spreading (2008) Journal of Biomechanics, 41, pp. 2036-2041;
Keating, T.J., Peloquin, J.G., Rodionov, V.I., Momcilovic, D., Borisy, G.G., Microtubule release from de centrosome (1997) Proceedings of the National Academy of Sciences of the USA, 94, pp. 5078-5083;
Sanchez-Sandoval, L., Maurin, B., Kazi Aoual, M.N., Motro, R., Selfstress states identification and localization in modular tensegrity grids (2007) International Journal of Space Structures, 22, pp. 215-224
CORRESPONDENCE ADDRESS: Cañadas, P.; Université Montpellier 2, Laboratoire de Mécanique et Génie Civil (LMGC), UMR 5508 CNRS, Place Eugène Bataillon, CC048, 34095 Montpellier, France; email: canadas@lmgc.univ-montp2.fr
ISSN: 12962139
DOI: 10.1051/meca/2009058
LANGUAGE OF ORIGINAL DOCUMENT: French
ABBREVIATED SOURCE TITLE: Mec. Ind.
DOCUMENT TYPE: Article
SOURCE: Scopus
Panigrahi, R.a , Gupta, A.b , Bhalla, S.c
Damage assessment of tensegrity structures using piezo transducers
(2008) Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS2008, 2, pp. 21-25.
http://www.scopus.com/inward/record.url?eid=2-s2.0-78149391906&partnerID=40&md5=a12d65ee6d6deeb9741cbe6576a8f031
AFFILIATIONS: Civil Engineering Department, College of Engineering and Technology, Bhubaneswar, Orissa, 751003, India;
Civil Engineering Department, IIT Delhi, Hauzkhas, New Delhi, 110016, India;
Civil Engineering Department, IIT Delhi, Hauzkhas, New Delhi, 11001, India
ABSTRACT: This paper presents a low-cost experimental technique to carry out damage assessment of structures using dynamic strain measured by of surface-bonded piezo transducers. The technique is applied on a single module tensegrity structure, 1mx1m in size and then extended to a tensegrity grid structure, 2mx2m size, fabricated using galvanised iron (GI) pipes and mild steel cables. A single piezoelectric-ceramic (PZT) patch bonded on a strut measures the dynamic strain during an impact excitation of the structure. Damage is identified from the frequency response function (FRF) obtained after domain transformation of the PZT patch's response. For the grid structure, damage is localized using changes in the three natural frequencies observed experimentally and the corresponding mode shapes obtained numerically. The technique is found to be very expedient and at the same time cost effective, especially for preliminary damage detection in the structures. Copyright © 2008 by ASME.
INDEX KEYWORDS: Damage assessments; Domain transformation; Dynamic strain; Experimental techniques; Frequency response functions; Grid structures; Impact excitation; Mild steel; Mode shapes; Piezo-transducers; PZT; PZT patches; Single modules; Tensegrities; Tensegrity structure; Time cost, Carbon steel; Frequency response; Galvanizing; Intelligent materials; Intelligent systems; Iron; Transducers, Damage detection
REFERENCES: Fuller, R.B., Tensile integrity structures (1962), United States Patent No: 3:063: 521Kebiche, K., Kazi-Aoual, M.N., Motro, R., Geometric non-linear analysis of tensegrity systems (1999) Engineering Structures, 21, pp. 864-876;
Hanaor, A., Double layer tensegrity grids as deployable structures (1993) Int. J. of Space Structures., 8, pp. 135-143;
Quirant, J., Kazi-Aoual, M.N., Motro, R., Designing tensegrity systems: The case of a double layer grid (2003) Engineering Structures, 25, pp. 1121-1130;
Stern, I.P., (1999) Development of Design Equations for Self Deployable N- Strut Tensegrity Systems, , M.S. Thesis, University of Florida
CORRESPONDENCE ADDRESS: Panigrahi, R.; Civil Engineering Department, College of Engineering and Technology, Bhubaneswar, Orissa, 751003, India
SPONSORS: Nanotechnology Institute, ASME
CONFERENCE NAME: ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS2008
CONFERENCE DATE: 28 October 2008 through 30 October 2008
CONFERENCE LOCATION: Ellicott City, MD
coden 80364
ISBN: 9780791843314; 9780791843321
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Proc. ASME Conf. Smart Mater., Adapt. Struct. Intelligent Syst., SMASIS
DOCUMENT TYPE: Conference Paper
SOURCE: Scopus
Dubé, J.F., Angellier, N., Crosnier, B.
Comparison between experimental tests and numerical simulations carried out on a tensegrity minigrid
(2008) Engineering Structures, 30 (7), pp. 1905-1912. Cited 4 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-43949094154&partnerID=40&md5=d167c130a4b45c87207e6b643bac33da
AFFILIATIONS: Laboratoire de Mécanique et Génie Civil-UMR5508, Montpellier University, cc048, Place E. Bataillon, 34095 Montpellier cedex 5, France
ABSTRACT: Tensegrity systems are structures in equilibrium under an initial self-stress state. This self-stress state is composed of elementary self-stress states, which constitute its basis. They have complex behaviour and the self-stress state can be modified by external loads. A continuous dialogue between numerical simulations and experimental tests made it possible to validate previous models. In this paper, we checked the validity of the indirect methods currently used to measure cable tension. Static and vibratory measurements clearly show that the bending moment of the elements influences the behaviour of the structure. In the computational analysis, it is therefore necessary to consider embedding of the elements although the structure is not entirely rigid. Moreover, structural beam finite elements are necessary for a correct calculation of bar behaviour within the structure. Our results contribute to improve the modelling of the behaviour of tensegrity grids as conceived in the Tensarch project. © 2007 Elsevier Ltd. All rights reserved.
AUTHOR KEYWORDS: EF model; Measure; Self-stress state; Tensegrity; Vibration
INDEX KEYWORDS: Bending moments; Computer simulation; Finite element method; Stress concentration; Tensile strength; Vibrations (mechanical), Self-stress state; Tensegrity systems, Structures (built objects), Bending moments; Computer simulation; Finite element method; Stress concentration; Structures (built objects); Tensile strength; Vibrations (mechanical), bending; experimental study; finite element method; numerical model; stress analysis; vibration
REFERENCES: Motro R.. Formes et forces dans les systèmes constructifs cas des systèmes réticulés spatiaux autocontraints. Doctorat d'état de l'Unviversité des Sciences et Techniques du Languedoc. 1983. 192pMotro R.. Tensegrity, Kogan Page Science 2003Averseng, J., Crosnier, B., Static and dynamic robust control of tensegrity systems (2004) Journal of the International Association for Shell and Spatial Structures, 45 (3), pp. 169-174;
Averseng J.. Mise en oeuvre et contrôle des systèmes de tenségrité. Thèse de Doctorat de l'Université Montpellier II. dir. B. Crosnier, J.F. Dubé. 2004. 150 pDubé J.F., Crosnier B.. Identification of cable slackening by analyzing the temporal response of the structure. In: Motro R, editor. Proc. of IASS 2004, shell and spatial structures from models to realization. 2004. 134-135. 8p in CDROMBarcilon, V., Inverse problem for the vibrating beam in the free-clamped configuration (1982) Philosophical Transaction of the Royal Society of London, A Mathematical and Physical Sciences, A304, pp. 221-251;
Gotlib, V.A., Sato, T., Beltzer, A.I., Neural computing of effective properties of random composite materials (2001) Computers and Structures, 79, pp. 1-6;
Lin, J.H., Guo, X.L., Zhi, H., Howson, W.P., Williams, F.W., (2001) Computer simulation of structural random loading identification, 79, pp. 375-387;
Motro, R., Tensarch Project (2002) First international conference on space structures, pp. 57-66., Telford T. (Ed), G.A.R. Park and P. Disney, Guilford (UK);
Averseng J.. Méthodologie de la mise en auto-contrainte des systèmes de tenségrité, DEA, dir. B. Crosnier, M.N. Kazi Aoual, LMGC. Université Montpellier II. 2001. 46pAverseng, J., Crosnier, B., Prestressing tensegrity systems - Application to multiple selfstress state structures (2004) International Journal of Structural Stability and Dynamics, 4 (4), pp. 543-557;
Vassart N.. Recherche de forme et stabilité des systèmes réticulés autocontraints - application aux systèmes de tenségrité. Ph.D. thesis. Université Montpellier 2; 1997Quirant J.. Systèmes de tenségrité et autcontrainte: Qualification, sensibilité et incidence sur le comportement. Ph.D. thesis. Université Montpellier 2; 2000Pellegrino, S., Calladine, C.R., Matrix analysis of statically and kinematically indeterminate frameworks (1986) International Journal of Solids and Structures, 22, pp. 409-428;
Sanchez L.R.. Contribution à l'étude mécanique des systèmes de tenségrité. Ph.D. thesis. Université Montpellier 2; 2005Quirant, J., Kazi-Aoual, M.N., Motro, R., Designing tensegrity systems: The case of a double layer grid (2003) Engineering Structures, 25, pp. 1121-1130;
Crosnier, B., Cevaer, F., Stratégies de mise en précontrainte dans les systèmes de tenségrité et contrôle (2003) Revue Française de Génie Civil, Hermès, 7-3, pp. 311-328;
Verpeaux, P., Charras, T., Millard, A., Castem2000, une approche moderne du calcul des structures (1988) Calcul des structures et intelligence artificielle, Pluralis, pp. 261-271., Fouet J.M., Ladevèze P., and Ohayon R. (Eds)
CORRESPONDENCE ADDRESS: Dubé, J.F.; Laboratoire de Mécanique et Génie Civil-UMR5508, Montpellier University, cc048, Place E. Bataillon, 34095 Montpellier cedex 5, France; email: dube@lmgc.univ-montp2.fr
ISSN: 01410296
CODEN: ENSTD
DOI: 10.1016/j.engstruct.2007.12.010
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Eng. Struct.
DOCUMENT TYPE: Article
SOURCE: Scopus
Ohsaki, M.a c , Zhang, J.Y.a , Ohishi, Y.b
Force design of tensegrity structures by enumeration of vertices of feasible region
(2008) International Journal of Space Structures, 23 (2), pp. 117-125. Cited 1 time.
http://www.scopus.com/inward/record.url?eid=2-s2.0-49749120636&partnerID=40&md5=059dcfdf8b71f926f45c1fa3a3597bd8
AFFILIATIONS: Dept. of Architecture and Architectural Engineering, Kyoto University, Japan;
Computer Engineering and Consulting, Ltd., 5-1-11, Higashihara, Zama, Kanagawa 228-8567, Japan;
Kyoto University, Kyoto-Daigaku Katsura, Nishikyo, Kyoto 615-8540, Japan
ABSTRACT: An optimization approach is presented for force design of tensegrity structures by enumeration of the vertices of the feasible region of the prestresses, which is defined as the linear combinations of the coefficients of the self-equilibrium force vectors. The unilateral properties of the stresses in cables and struts are taken into consideration. In order to design the stiffest structure against uncertain external loads as well as specific external loads, a multiobjective optimization problem is formulated for simultaneous maximization of the lowest eigenvalue of the tangent stiffness matrix and minimization of the compliance against a specified set of external loads. In the numerical example, Pareto optimal solutions are found by enumerating the vertices of the feasible region of prestresses of a tensegrity grid, and the monotonicity properties of the objective functions are investigated.
AUTHOR KEYWORDS: Force design; Multiobjective programming; Self-equilibrium force; Tensegrity; Vertex enumeration
INDEX KEYWORDS: Optimization; Stiffness matrix; Structural optimization, Eigen values; External loads; Feasible Region; Force design; Force vectors; Linear combinations; Monotonicity properties; Multi-objective optimization problem; Multiobjective programming; Numerical examples; Objective functions; Optimization approach; Pareto-optimal solutions; Prestresses; Self-equilibrium; Self-equilibrium force; Tangent stiffness matrix; Tensegrity; Tensegrity structures; Vertex enumeration, Multiobjective optimization
REFERENCES: Motro, R., Tensegrity systems: The state of the art (1992) Int. J. Space Structures, 7 (2), pp. 75-83;
Lalvani, H., Origins of tensegrity: Views of Emmerich, Fuller and Snel-son, Int (1996) J. Space Structures, 11 (1 2), pp. 27-55;
Connelly, R., (1999) Tensegrity Structures: Why are they Stable? Rigidity Theory and Applications, pp. 47-54., edited by Thorpe and Duxbury, Kluwer/Plenum Publishers, pp;
Tibert, A.G., Pellegrino, S., Review of form-finding methods for tensegrity structures (2003) Int. J. Space Structures, 18 (4), pp. 209-223;
Zhang, J.Y., Ohsaki, M., Optimization methods for force and shape design of tensegrity structures (2007) Proc. 7th World Congress on Structural and Multidisciplinary Optimization, , Seoul, Korea;
Ohsaki, M., Zhang, J.Y., Stability conditions of prestressed pin-jointed structures (2006) Int. J. Non-Linear Mechanics, 41, pp. 1109-1117;
Schek, H.J., The force density method for form finding and computation of general networks (1974) Comp. Meth. Appl. Mech. Engng, 3, pp. 115-134;
Horn, R.A., Johnson, C.R., (1990) Matrix Analysis, , Cambridge University Press Reprint edition;
Zhang, J.Y., Ohsaki, M., Adaptive force density method for form-finding problem of tensegrity structures (2006) Int. J. Solids Struct, 43, pp. 5658-5673;
Cohon, J.L., Multiobjective Programming and Planning (1978) Mathematics in Science and Engineering, 140., Academic Press;
Avis, D., Fukuda, K., A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra (1992) Discrete Comput. Geom, 8, pp. 295-313;
Avis, D., Fukuda, K., Reverse search for enumeration (1996) Discrete Applied Math, 65 (1-3), pp. 21-46;
Motro, R., (2003) Tensegrity Structural Systems for the Future, , Butterworth-Heinemann;
K. Fukuda, 1999. cdd.+ Ver. 0.76 User's Manual, Inst. Operation Res., ETH-Zentrum, Zurich, SwitzerlandCORRESPONDENCE ADDRESS: Ohsaki, M.; Dept. of Architecture and Architectural Engineering, Kyoto UniversityJapan; email: ohsaki@archi.kyoto-u.ac.jp
ISSN: 09560599
CODEN: ISSTE
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Int J Space Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Panigrahi, R., Gupta, A., Bhalla, S.
Design of tensegrity structures using artificial neural networks
(2008) Structural Engineering and Mechanics, 29 (2), pp. 223-235. Cited 1 time.
http://www.scopus.com/inward/record.url?eid=2-s2.0-43249095782&partnerID=40&md5=32ef877cbe63ea31d416203c7bcb68df
AFFILIATIONS: Department of Civil Engineering, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110 016, India
ABSTRACT: This paper focuses on the application of artificial neural networks (ANN) for optimal design of tensegrity grid as light-weight roof structures. A tensegrity grid, 2 m × 2 m in size, is fabricated by integrating four single tensegrity modules based on half-cuboctahedron configuration, using galvanised iron (GI) pipes as struts and high tensile stranded cables as tensile elements. The structure is subjected to destructive load test during which continuous monitoring of the prestress levels, key deflections and strains in the struts and the cables is carried out. The monitored structure is analyzed using finite element method (FEM) and the numerical model verified and updated with the experimental observations. The paper then explores the possibility of applying ANN based on multilayered feed forward back propagation algorithm for designing the tensegrity grid structure. The network is trained using the data generated from a finite element model of the structure validated through the physical test. After training, the network output is compared with the target and reasonable agreement is found between the two. The results demonstrate the feasibility of applying the ANNs for design of the tensegrity structures.
AUTHOR KEYWORDS: Artificial neural network (ANN); Finite element method (FEM); Roof; Strain; Tensegrity
INDEX KEYWORDS: Algorithms; Finite element method; Mathematical models; Neural networks, Light weight roof structures; Tensegrity structures, Structural design
REFERENCES: ANSYS 9. (2007). www.ansys.comArgyris, J.H., Scharpf, D.W., Large deflection analysis of prestressed networks (1972) J. Struct. Div. Proc, 98, pp. 633-654., ASCE, ST-3;
Cakiroglu, E., Comez, I., Erdol, R., Application of artificial neural networks to a double receding contact problem with a rigid stamp (2005) Struct. Eng. Mech, 21 (2), pp. 205-220;
Civalek, O., Flexural and axial vibration analysis of beams with different support conditions using artificial neural networks (2004) Struct. Eng. Mech, 18 (3), pp. 303-314;
Domer, B., Fest, E., Lalit, V., Smith, I., Combining dynamic relaxation method with artificial neural networks to enhance simulation of tensegrity structures (2003) J. Struct. Eng, 129 (5), pp. 672-681;
Fest, E., Shea, K., Smith, I.F.C., Active tensegrity structure (2004) J. Struct. Eng, 130 (10), pp. 1454-1465;
Fuller, R.B., Tensile Integrity Structures (1962), United States Patent No: 3 :063: 521Flood, I., A neural network approach to the sequencing of construction tasks (1989) Proc. of 6 th Int. Symp. on Automation and Robotics Construction, , San Francisco, USA, June;
Hanaor, A., Double layer tensegrity grids as deployable structures (1993) Int. J. Space Struct, 8 (1-2), pp. 135-143;
Specification for Round Steel Wire for Ropes (1976), IS 1835 , Bureau of Indian StandardsMild Steel Tubes, Tubulare and Other Wrought Steel Fittings - Specification - Part 1: Mild Steel Tubes (1990), IS 1239 , Bureau of Indian StandardsSpecification for Round Steel Wire for Ropes (1876), IS 1835 , Bureau of Indian StandardsSpecification for Small Wire Ropes (1977), IS 3459 , Bureau of Indian StandardsMcCulloch, W.S., Pitts, W., A logical calculus of the ideas immanent in nervous activity (1943) B. Math. Biophysics, 5, pp. 115-133;
Morro, R., (2003) Tensegrity Structural Systems for the Future, , Kogan Page Science, UK, London;
(2007), http://www.mathworks.com, MATLAB 7Panigrahi, R., Gupta, A., Bhalla, S., Arora, K., Application of artificial neural network for form finding of tensegrity structures (2005) Proc. of 2 nd Indian Int. Conf. on Artificial Intelligence (IICAI-05), , Pune, India, December;
Panigrahi, R., Gupta, A., Bhalla, S., Dismountable steel tensegrity grids as light-weight roof structures (2007) Steel Compos. Struct, , under review;
Quirant, J., Kazi-Aoual, M.N., Motro, R., Designing tensegrity systems: The case of a double layer grid (2003) Eng. Struct, 25 (9), pp. 1121-1130;
Shanker, R., Estimation of axial force in tall buildings using artificial neural networks (2005), M. Tech. Dissertation, Department of Civil Engineering, Indian Institute of Technology DelhiSheck, H.J., The force density method for form finding and computation networks (1974) Comput. Meth. Appl. Mech. Eng, 3, pp. 115-134;
Stern, I.P., Development of design equations for self deployable N- strut tensegrity systems (1999), M. S. Thesis, University of FloridaVishay Micro-Measurements (2005), P.O. box 27777, Raleigh North Carolina, 27611, USA. www.vishaymg.comCORRESPONDENCE ADDRESS: Bhalla, S.; Department of Civil Engineering, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110 016, India; email: sbhalla@civil.iitd.ac.in
ISSN: 12254568
CODEN: SEGME
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Struct Eng Mech
DOCUMENT TYPE: Article
SOURCE: Scopus
Di Carlo, B.
The wooden roofs of Leonardo and new structural research
(2008) Nexus Network Journal, 10 (1), pp. 27-38. Cited 1 time.
http://www.scopus.com/inward/record.url?eid=2-s2.0-47749111335&partnerID=40&md5=3df2a5e88c25f72d2651846d172f5fda
AFFILIATIONS: Via Berlino 2, Villa Raspa, Spoltore 65010, Pescara, Italy
ABSTRACT: The two types of spatial patterns reproduced in the Codex Altanticus fol. 899v can be deciphered in light of recent studies on reciprocal and tensegrity frames. For the construction of his wooden component roofs, Leonardo utilized two main modules: a grid of square modules and a grid of a tri/hexagonal module. Leonardo's drawings offer an opportunity to attempt a synthesis between the two structural systems, demonstrating the affinity that exists between the reciprocal frames used by Leonardo and the rigid tensegrities developed by Fuller. The continual observation, study and construction of models have permitted the verification of this hypothesis. © 2008 Kim Williams Books.
AUTHOR KEYWORDS: Buckminster Fuller; Deresonated tensegrity; Geodesic domes; Leonardo da Vinci; Polyhedra; Reciprocal frames; Tensegrity
REFERENCES: Bioarchitettura 18 (2000), 21 (2000), 23 (2001). BolzanoCHILTON, B., LEWIS, P., Structural Morphology: Towards The New Millennium (1977) Dome Magazine, , Wheat Ridge, Colorado;
Domebook 1 &2. 1970-1971. Pacific Domes. Bolinas CaliforniaFULLER, R.B., (1963) Ideas and Integrities, , New York: Macmillan;
FULLER, R.B., (1975) Synergetics 1 & 2, , New York: Macmillan;
FULLER, R.B., (1973) The Dymaxion World of Buckminster Fuller, , New York: Doubleday;
GOULD, C., (1993) Kawamata Project on Roosevelt Island, , Tokyo;
GUTDEUTSCH, G., (1996) Building in Wood, , Birkhauser;
HARGITTAI, I., HARGITTAI, M., (1995) Symmetry through the Eyes of a Chemist, , Plenum Press;
(2002) International Journal of Space Structures, 17, pp. 2-3., &;
KENNER, H., (1976) Geodesic Math, , University of California Press;
L'Architettura Naturale, 10/2001. Milan.12MCHALE, John. 1964. R. B. Fuller. Il SaggiatorePEDRETTI, C., (1978) Leonardo Architetto, , Milan: Electa;
Olga Larsen, P., (2003) Conceptual Structural Design: Bridging the Gap Between Architects and Engineers, , London: Thomas Telford;
PRENIS, J., (1973) The Dome Builder's Handbook, , Running Press;
PUGH, A., (1976) An Introduction To Tensegrity, , University Of California Press;
PUGH, A., (1976) Polyhedra: A Visual Approach, , University of California Press;
ROBBIN, T., (1996) Engineering A New Architecture, , New Haven: Yale University Press;
WRENCH, T., (2001) Building a Low Impact Roundhouse, , Hampshire: Permanent Publications
CORRESPONDENCE ADDRESS: Di Carlo, B.Via Berlino 2, Villa Raspa, Spoltore 65010, Pescara, Italy; email: mail@biagiodicarlo.com
ISSN: 15905896
DOI: 10.1007/s00004-007-0054-x
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Nexus Network J.
DOCUMENT TYPE: Article
SOURCE: Scopus
Robert, V.P.
Perception of order and ambiguity in Leonardo's design concepts
(2008) Nexus Network Journal, 10 (1), pp. 101-128.
http://www.scopus.com/inward/record.url?eid=2-s2.0-47749091671&partnerID=40&md5=bbed7fd027ccc8098119795a5872a7c7
AFFILIATIONS: 4H, Nottingham Street, London W1U 5EQ, United Kingdom
ABSTRACT: Leonardo da Vinci used geometry to give his design concepts both structural and visual balance. The paper examines aesthetic order in Leonardo's structural design, and reflects on his belief in analogy between structure and anatomy. Leonardo's drawings of grids and roof systems are generated from processes best known from ornamentation and can be developed into spatial structures assembled from loose elements with no need for binding elements. His architectural plans are patterns based on principles of tessellation, tiling and recursion, also characteristic of the reversible, ambiguous structures which led to Leonardo's further inventions in structural and mechanical design as well as dynamic representations of space in his painting. In recent times, the ambiguous structures in the art of Joseph Albers, the reversible and impossible structures of M. C. Escher, the recurring patterns and spherical geometry of Buckminster Fuller and the reciprocal grids in structural design of Cecil Balmond display a similar interest. Computer models and animations have been used to simulate processes of perceiving and creating ambiguity in structures. © 2008 Kim Williams Books.
AUTHOR KEYWORDS: Aesthetic order; Ambiguity; Cecil Balmond; Emergence; Joseph Albers; Leonardo da Vinci; M.C. Escher; Optical illusion; Ornament and structure; Pattern; Principles of ornamentation; Reciprocal grid; Structural design; Symmetry; Tensegrity; Visual perception
REFERENCES: BARBARO, Daniele. 1556. I Dieci Libri dell'Architettura di Vitruvio Tradutti et Commentati da Mons. Barbaro. Venice: Francesco MarcoliniOF CUSA, N., (1972) Nicolai de Cusa Opera Omnia iussu et auctoritate Academiae litterarum heidelbergensis ad codicum fidem edita, , Eds. Josef Koch, Karl Bormann, Hans G. Senger. Hamburg: Felix Meiner Verlag;
DECOI, (1998) Hystera ProteraGraphic Design / Art Work, , Public Art Commissions Agency UK;
ECO, Umberto. 1967. A theory of expositions. Dot Zero 4 (Summer 1967)ESCHER, M.C., (1992) The Graphic Work, , Köln, Benedikt-Taschen Verlag GmbH;
FRIEDMAN, N., Hyperseeing, Hypersculptures and Space Curves (2001) VisMath, , http://www.mi.sanu.ac.yu/vismath/friedman/index, 3, 1;
FULLER, R.B., (1975) Synergetics. Explorations in the Geometry of Thinking. 2, , vols. New York: Macmillan Publishing Co. Inc;
GERM, T., (1999) Nikolaj Kuzanski in renesancna umetnost: Ikonoloske studije, , Ljubljana: SKAM;
GHYKA, M., (1971) Philosophie et mystique du nombre, , Paris, Editions Payot;
GIBSON, James J., HAGEN, M A, et al. 1992. Sensory processes and perception. Pp, 224-281 in A century of psychology as a science. Eds. S. Koch and D. Leary. Washington DC: American Psychological AssociationGOMBRICH, E., (1979) Sense of Order. A Study in the Psychology of Decorative Art, , London: Phaidon Press Ltd;
GOULTHORPE, Mark. 2007. The Possibility of (an) Architecture. Collected Essays by Mark Goulthorpe, dECOi Architects. London: Routledge / Taylor & FrancisHEMPEL, E., (1953) Nikolaus von Kuesin seinen Beziehungen zur bildenden Kunst, , Berlin: Publisher;
DA VINCI, L., Thoughts on Art and Life (1907), 11, p. 49., TheBurlingtonMagazineforConnoisseurs, AprilDA VINCI, L., (1956) Treatise on painting, , Trans. A. P. McMahon. Princeton: Princeton University Press;
LINDBERG, D.C., (1976) Theories of Vision, from Al-Kindi to Kepler, , Chicago and London: The University of Chicago Press;
LOOS, A., (1998) Ornament and Crime: Selected Essays, , ed. Riverside CA: Ariadne Press;
LYNN, G., (1998) Folds, Bodies & Blobs, Collected Essays, , Belgium: La letter vole;
MARTINI, Francesco di Giorgio. 1480-82? Trattato di architettura civile e militare. Codex Magliabechiano II.I.41, Biblioteca Nazionale di FirenzeREISER + UMEMOTO STUDIO. 1998. Tokyo Bay Experiment, Columbia GSAP, New YorkRICHTER, J.P., RICHTER, I.A., (1939) The Literary Works of Leonardo da Vinci, , London;
STEADMAN, P., (1979) The Evolution of Designs: Biological analogy in architecture and the applied arts, , Cambridge: Cambridge University Press;
THOMPSON, D'Arcy. 1993. On Growth and Form, J.T. Bonner, ed. Cambridge: Cambridge University PressVITRUVIUS, M.P., (1960) Ten Books on Architecture, , New York: Dover Publications Inc;
WITTKOWER, R., (1988) Architectural Principles in the Age of Humanism, , New York: St. Martin's Press;
ZELLNER, P., (1999) Hybrid Space. New Forms in Digital Architecture, , London: Thames & Hudson
CORRESPONDENCE ADDRESS: Robert, V. P.4H, Nottingham Street, London W1U 5EQ, United Kingdom; email: vesna@rubedo.co.uk
ISSN: 15905896
DOI: 10.1007/s00004-007-0058-6
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Nexus Network J.
DOCUMENT TYPE: Article
SOURCE: Scopus
Alart, P., Dureisseix, D.
A scalable multiscale LATIN method adapted to nonsmooth discrete media
(2008) Computer Methods in Applied Mechanics and Engineering, 197 (5), pp. 319-331. Cited 7 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-35448952524&partnerID=40&md5=108aa278ec1090ed3c64de68496d823c
AFFILIATIONS: LMGC, University Montpellier 2, CNRS UMR 5508, CC 048, Place Eugene Bataillon, F-34095 Montpellier Cedex 5, France
ABSTRACT: The simulation of discrete systems often leads to large scale problems, for instance if they result of a discretization technique, or a modeling at a small scale. A multiscale analysis may involve an homogenized macroscopic problem, as well as a coarse space mechanism to accelerate convergence of the numerical scheme. A multilevel domain decomposition technique is used herein as both a numerical strategy to simulate the behaviour of a non smooth discrete media, and to provide a macroscopic numerical behaviour of the same system. Several generic formulations for such systems are discussed in this article. A multilevel domain decomposition is tested and several choices of the embedded coarse space are discussed, in particular with respect of the emergence of weak interfaces, characteristics of the discrete media substructuration. The application problem is the quasi-static simulation of a large scale tensegrity grid. © 2007 Elsevier B.V. All rights reserved.
AUTHOR KEYWORDS: Domain decomposition; Homogenization; Multilevel; Nonsmoothness; Scalability
INDEX KEYWORDS: Discrete event simulation; Homogenization method; Mathematical models; Scalability, Discrete systems; Multiscale analysis; Nonsmooth discrete media, Domain decomposition methods, Discrete event simulation; Domain decomposition methods; Homogenization method; Mathematical models; Scalability
REFERENCES: Tollenaere, H., Caillerie, D., Continuous modeling of lattice structures by homogenization (1998) Adv. Engrg. Software, 29 (7-9), pp. 699-705., 11 August;
Cimpoesu, F., Hirao, K., The ab initio analytical approach of vibronic quantities: application to inorganic stereochemistry (2003) Adv. Quantum Chem., 44, pp. 369-387;
Cancès, E., Defranceschi, M., Kutzelnigg, W., Bris, C.L., Maday, Y., Computational quantum chemistry: a primer (2003) Handbook Numer. Anal., 10, pp. 3-270;
Bulatov, V.V., Kublin, L.P., Dislocation modelling at atomistic and mesoscopic scales (1998) Curr. Opin. Solid State Mater. Sci., 3 (6), pp. 558-561., December;
Lemarchand, C., Devincre, B., Kubin, L., Homogenization method for a discrete-continuum simulation of dislocation dynamics (2001) J. Mech. Phys. Solids, 49 (9), pp. 1969-1982;
Puglisi, G., Truskinovsky, L., Mechanics of a discrete chain with bi-stable elements (2000) J. Mech. Phys. Solids, 48 (1), pp. 1-27., January;
Kresse, O., Truskinovsky, L., Mobility of lattice defects: discrete and continuum approaches (2003) J. Mech. Phys. Solids, 51 (7), pp. 1305-1332., July;
BenDhia, H., Problème de mécanique multiéchelle: la méthode arlequin (1998) Comptes-Rendus de l'Académie des Sciences, 326, pp. 899-904;
Fish, J., Chen, W., Discrete-to-continuum bridging based on multigrid principles (2004) Comput. Methods Appl. Mech. Engrg., 193 (17-20), pp. 1693-1711., 7 May;
Arroyo, M., Belytschko, T., A finite deformation membrane based on inter-atomic potentials for the transverse mechanics of nanotubes (2003) Mech. Mater., 35 (3-6), pp. 193-215., March-June;
Xiao, S.P., Belytschko, T., A bridging domain method for coupling continua with molecular dynamics (2004) Comput. Methods Appl. Mech. Engrg., 193 (17-20), pp. 1645-1669., 7 May;
Radjai, F., Wolf, D.E., Jean, M., Moreau, J.J., Bimodal character of stress transmission in granular packings (1998) Phys. Rev. Lett., 80 (1)., 61-6;
Frémond, M., (2002) Non smooth thermomechanics, , Springer Verlag, Berlin;
Motro, R., (2003) Tensegrity, , Hermes Science Publishing, London;
Nineb, S., Alart, P., Dureisseix, D., Domain decomposition approach for nonsmooth discrete problems, example of a tensegrity structure (2007) Comput. Struct., 85 (9), pp. 499-511;
Jean, M., The non-smooth contact dynamics method (1999) Comp. Methods Appl. Mech. Engrg., 177, pp. 235-257;
Alart, P., Barboteu, M., Renouf, M., Parallel computational strategies for multi-contact problems: applications to cellular and granular media (2003) Int. J. Mult. Scales Comput. Engrg., 1 (4), pp. 419-430;
Ladevèze, P., Dureisseix, D., A micro/macro approach for parallel computing of heterogeneous structures (2000) Int. J. Comput. Civil Struct. Engrg., 1, pp. 18-28;
Ladevèze, P., Loiseau, O., Dureisseix, D., A micro-macro and parallel computational strategy for highly heterogeneous structures (2001) Int. J. Numer. Methods Engrg., 52 (1-2), pp. 121-138;
Barboteu, M., Alart, P., Vidrascu, M., A domain decomposition strategy for nonclassical frictional multi-contact problems (2001) Comput. Methods Appl. Mech. Engrg., 190, pp. 4785-4803;
Nouy, A., Ladevèze, P., Loiseau, O., A multiscale computational approach for contact problems (2002) Comput. Methods Appl. Mech. Engrg., 191, pp. 4869-4891;
Ladevèze, P., (1999) Nonlinear Computational Structural Mechanics - New Approaches and Non-Incremental Methods of Calculation, , Springer Verlag;
Farhat, C., Lesoinne, M., LeTallec, P., Pierson, K., Rixen, D., FETI-DP: a dual-primal unified FETI Method - Part I: a faster alternative to the two-level FETI Method (2001) Int. J. Numer. Methods Engrg., 50 (7), pp. 1523-1544;
Farhat, C., Lesoinne, M., Pierson, K., A scalable dual-primal domain decomposition method (2000) Numer. Linear Algebra Appl., 7 (7-8), pp. 687-714;
Quirant, J., Kazi-Aoual, M., Motro, R., Designing tensegrity systems: the case of a double layer grid (2003) Engrg. Struct., 25 (9), pp. 1121-1130
CORRESPONDENCE ADDRESS: Dureisseix, D.; LMGC, University Montpellier 2, CNRS UMR 5508, CC 048, Place Eugene Bataillon, F-34095 Montpellier Cedex 5, France; email: David.Dureisseix@lmgc.univ-montp2.fr
ISSN: 00457825
CODEN: CMMEC
DOI: 10.1016/j.cma.2007.05.002
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Comput. Methods Appl. Mech. Eng.
DOCUMENT TYPE: Article
SOURCE: Scopus
Sánchez, R., Maurin, B., Kazi-Aoual, M.N., Motro, R.
Selfstress states identification and localization in modular tensegrity grids
(2007) International Journal of Space Structures, 22 (4), pp. 215-224. Cited 3 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-37249062211&partnerID=40&md5=17a930aae13b073337b5c4294cc10585
AFFILIATIONS: Laboratoire de Mécanique et Génie Civil, UMR CNRS 5508, Université Montpellier 2, France
ABSTRACT: The design of a modular tensegrity grid requires the determination of its selfstress states, before choosing an appropriate combination defining the system's initial stresses. However, the computation of the vectorial basis associated with selfstress states generally produces results that are difficult to exploit. We therefore propose two different strategies to identify and localize selfstress states in a modular tensegrity grid more pertinently. The first is based on a heuristic approach that exploits the system's structural composition of modularity and regularity. The second is numerical and aims at redefining the vectors of the basis in a more convenient and useful way. Two methods based on transformations of the vectorial basis of selfstress states have been developed for a minimal number of involved components. Finally, we suggest a selfstress state classification based on the number of components and their localization as well as on their mechanical behavior.
AUTHOR KEYWORDS: Classification; Localization; Selfstress; Tensegrity grid
INDEX KEYWORDS: Localization; Modular tensegrity grids; Self stress; Self stress state classification; Tensegrity grid, Heuristic methods; Modular construction; Position control; Space research; Vectors, Stress analysis
REFERENCES: Fuller, R.B., Tensegrity, (1961) Portfolio Artnews Annual, 4, pp. 112-127;
Snelson, K., (1973) Tensegrity masts, Shelter Publications, Bolinas, , CA;
Raducanu, V., Motro, R., New tensegrity grids (2001) IASS Symposium 2001 "Theory, design and realization of shell and spatial structures", pp. 320-321., Japan;
Motro, R., (2003) Tensegrity, , Hermes Penton Sciences, ISBN 1903996376, UK;
Averseng, J., Crosnier, B., Prestressing tensegrity systems - Application to multiple selfstress state structures (2004) International Journal of Structural Stability and Dynamics, 4 (4), pp. 543-557;
Pellegrino, S., Calladine, C., Matrix analysis of statically and kinematically indeterminate frameworks (1986) International Journal Solids and Structures, 22, pp. 409-428;
Kebiche, K., Kazi Aoual, M.N., Motro, R., Geometric nonlinear analysis of tensegrity systems (1999) Engineering Structures, 21, pp. 864-876;
Vassart, N., Laporte, R., Motro, R., Determination of the mechanism order for kinematically and statically indeterminate systems (2000) International Journal of Solids and Structures, 37, pp. 3807-3839;
Quirant, J., Kazi-Aoual, M.N., Laporte, R., Tensegrity systems: The application of linear programmation in search of compatible selfstress states (2003) Journal of the International Association for Shell and Spatial Structures, 44 (1), pp. 33-50;
Sánchez, R., (2005) Contribution à l'étude du dimensionnement optimal des systèmes de tenségrité, , PhD Thesis, Université Montpellier 2;
Coleman, T.F., Pothen, A., The null space problem I. Complexity (1986) SIAM J. AIg. Disc. Math, 7, pp. 527-537;
Gilbert, J.R., Heath, M.T., Computing a sparse basis for the null space (1987) SIAM J. Alg. Disc. Meth, 8, pp. 446-459
CORRESPONDENCE ADDRESS: Sánchez, R.; Laboratoire de Mécanique et Génie Civil, UMR CNRS 5508, Université Montpellier 2France
ISSN: 09560599
CODEN: ISSTE
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Int J Space Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Dubé, J.-F., Angellier, N.
Correlation between eigenmodes and the selfstress state identification of a tensegrity grid
(2006) International Journal of Space Structures, 21 (4), pp. 223-232.
http://www.scopus.com/inward/record.url?eid=2-s2.0-34250197948&partnerID=40&md5=1861a5feb6a804a99db539e1a0707511
AFFILIATIONS: Laboratoire de Mécanique, Génie-Civil-UMR 5508, Université Montpellier 2, 34095 Montpellier Cedex 5, France
ABSTRACT: Tensegrity systems are structures in equilibrium under an initial selfstress state. This selfstress state is a composition of elementary selfstress states, which constitute its basis. In order to identity the selfstress state of a system, we use a non-destructive method based on a vibratory analysis of the structure. The structure is subjected to sinewave excitation for a given frequency. It appears that some frequencies allow a better identification than others. This study tries to establish a relation between eigenmode, selfstress state, and the effectiveness of the identification of a double layer tensegrity grid in six elementary selfstress states. Numerical simulations validate the method proposed here for the identification of such a tensegrity grid.
AUTHOR KEYWORDS: Eigenmode; Inverse analysis; Selfstress state; Tensegrity
INDEX KEYWORDS: Computer simulation; Eigenvalues and eigenfunctions; Inverse problems; Nondestructive examination; Tensile properties, Eigenmodes; Selfstress state; Sinewave excitation; Tensegrity, Stress analysis
REFERENCES: Van Den Abeele, K., DeVisscher, J., Damage assessment in reinforced concrete using spectral and temporal nonlinear vibration techniques (2000) Cement and Concrete Research, 30, pp. 1453-1464;
Averseng, J., (2004) Mise en oeuvre et contrôle des systèmes de tenségrité, , Thèse de doctorat. Université de Montpellier II;
Averseng, J., Crosnier, B., Prestressing tensegrity systems - application to multiple selfstress systems (2004) International Journal of Structural Stability and Dynamics, 4 (4), pp. 543-557;
Barcilon, V., Inverse mode problems for the vibrating beam in the free-clamped configuration, Philosophical Transaction of the Royal Society of London. Series A (1982) Mathematical and Physical Transaction, 304 (1483), pp. 211-251;
Bicanic, N., Chen, H., Damage identification in framed structures using natural frequencies (1997) International Journal for Numerical Methods in Engineering, 40, pp. 4451-4468;
Dubé, J.F., Identification de l'endommagement d'une poutre par analyse vibratoire (2004) Revue Française de Génie-Civil, 8, pp. 203-218;
Dubé, J.F., Crosnier, B., Identification of cables slackening by analyzing the temporal response of the structure, CDROM of IASS 2004 (2004) Shell and Spatial Structures from Models to Realization, p. 8., ed;
Fuller, R.B., (1973) The dymaxion world of buckminster fuller, , Anchoor Books, New York;
Olhof, N., Eschenauer, H., Schnell, W., (1997) Applied structural mechanics, structural optimization, , Springer;
Kawaguchi, K., Lu, Z.Y., Construction of three-strut tension systems (2002) SPACE STRUCTURES 5 (University of Surrey, Guilford) (P. Disney and G, , Parke, eds, IASS, Thomas Telford, août;
Levenberg, K., A method for the solution of certain nonlinear problems in least squares (1944) Quarterly of Applied Mathematics, (2), pp. 321-328;
Luenberger, D.G., (1984) Introduction to linear and nonlinear programming, , Addison-Wesley;
Maek, J., and al, Damage identification in reinforced concrete structures by dynamic stiffness determination (2000) Eng. Structures, 22, pp. 1339-1349;
Marquardt, D.W., An algorithm for least squares estimation of nonlinear parameters (1963) SIAM Journal on Applied Mathematics, (11), pp. 431-441;
Motro, R., (2003) Tensegrity, Kogan Page Science;
Motro, R., Raducanu, V., Tensarch project (2002) SPACE STRUCTURES 5 (University of Surrey, Guildford) (P. Disney and G, , Parke, eds, IASS, Thomas Telford, août;
Murakami, H., Nishimura, Y., Static and dynamic characterization of some tensegrity modules (2001) Journal of Applied Mechanics, 68, pp. 19-27;
Ndambi, J.M., Peeters, B., Maek, J., DeVisscher, J., Wahab, M.A., Comparison of techniques for modal analysis of concrete structures (2000) Eng. Struc, 22 (9), pp. 1159-1166;
K. Oda and Y. Hangai, Optimal self-equilibrated stresses in cables structures. Spatial Structures: Heritage, Present and Future (G. C. Giuliani, ed.), IASS, SGEditoriali Padova, 1995Pellegrino, S., Calladine, C.R., Matrix analysis of statically and kinematically indeterminate frameworks (1986) International Journal of Solids and Structures, 22, pp. 409-428;
Pritchard, J.I., Adelman, H.M., Haftka, R.T., Sensitivity analysis and optimization od nodal point placement for vibration reduction (1987) Journal of Sound and Vibration, (119), pp. 277-289;
Quirant, J., (2000) Systèmes de tenségrité et autocontrainte: Qualification, sensibilité et incidence sur le comportement, , Ph.D. thesis, Université Montpellier II;
Quirant, J., Kazi-Aoual, M.N., Motro, R., Designing tensegrity systems: The case of a double layer grid (2003) Engineering Structures, 25, pp. 1121-1130;
Gurdal, Z., Haftka, R.T., Kamat, M.P., (1993) Elements of structural optimization, , Kluwer Academic Publishers;
Sanchez, L.R., (2005) Contribution à l'étude mécanique des systèmes de tenségrité, , Ph.D. thesis. Université Montpellier 2;
Snelson, K., (1973) Tensegrity mast, Shelter Publications, Bolinas, , Californie;
Vassart, N., (1997) Recherche de forme et stabilité des systèmes réticulés autocontraints - application aux systèmes de tenségrité, , Ph.D. thesis, Université montpellier 2;
Verpeaux, P., Charras, T., Millard, A., (1988) Castem2000, une approche moderne du calcul des structures, Calcul des structures et intelligence artificielle, pp. 261-271., J.M. Fouet, P. Ladevèze, and R. Ohayon, eds, Pluralis;
Walter, E., Prontazo, L., (1994) Identification de modèles paramétriques à partir de données expé rimentales, , Masson
CORRESPONDENCE ADDRESS: Dubé, J.-F.; Laboratoire de Mécanique, Génie-Civil-UMR 5508, Université Montpellier 2, 34095 Montpellier Cedex 5, France; email: dube@lmgc.univ-montp2.fr
ISSN: 09560599
CODEN: ISSTE
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Int J Space Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Scruggs, J.T.a , Skelton, R.E.b
Regenerative tensegrity structures for energy harvesting applications
(2006) Proceedings of the IEEE Conference on Decision and Control, art. no. 4178116, pp. 2282-2287.
http://www.scopus.com/inward/record.url?eid=2-s2.0-39649119438&partnerID=40&md5=67b5d7627d366c8b51dad3040b0d6ff5
AFFILIATIONS: Dynamic Systems Research, Inc., San Diego, CA, United States;
Dept. of Mechanical and Aerospace Engineering, UCSD, San Diego, CA, United States
ABSTRACT: This paper investigates the potential of controlled tensegrity structures as a means for electrically generating and storing energy injected into the structure by external disturbances. An approach is presented for the integration of linear, regenerative actuators into tensegrity structures as supplemental active bars. By operating these actuators as generators, mechanical energy absorbed from the structure during periods of external excitation is converted to electrical energy. Through proper control of the power-electronic network to which the actuators are connected, a fraction of this energy may be recovered and delivered to a storage system or an external power grid. A generalized model for a regenerative tensegrity structure with arbitrarily-many actuators is presented, which accounts for electrical dissipation in the actuators and associated electronics. Issues pertaining to actuator selection and power-electronic control are discussed. An approach is presented for the design of simple collocated linear velocity-feedback controllers for systems with one actuator, such that the rate of structural energy extraction is optimized for the steady-state closed-loop response to an external disturbance. The approach is illustrated in a simulation example for a small-scale system. Extensions are discussed in which a regenerative tensegrity structure is used to harvest energy from the motion of ocean waves. © 2006 IEEE.
AUTHOR KEYWORDS: Energy harvesting; Mechatronics; Tensegrity
INDEX KEYWORDS: Energy harvesting; Mechanical energy; Small scale system; Tensegrity, Actuators; Energy storage; Feedback control; Mechatronics, Energy utilization
REFERENCES: Salter, S.H., Wave power (1974) Nature, 249, pp. 720-724;
Falnes, J., (2002) Ocean Waves and Oscillating Systems, Linear Interaction Including Wave-Energy Extraction, , Cambridge, U.K, Cambridge Univ. Press;
Clement, A., McCullen, P., Falcao, A., Fiorentino, A., Gardner, F., Hammarlund, K., Lennois, G., Thorpe, T., Wave energy in Euorpe: Current status and perspectives (2002) Renewable and Sustainable Energy Reviews, 6, pp. 405-453;
Pelc, R., Fujita, R.M., Renewable energy from the ocean (2002) Marine Policy, 26, pp. 471-479;
Johansson, T.B., McCormick, K., Neij, L., Turkenburg, W., The potentials of renewable energy (2004) Intl. Conf. on Renewable Energies, , Bonn;
T.W.Thorpe, An Overview of Wave Energy Technologies, Produced for Office of Sci. & Tech., AEA Tech. Rep. AEAT-3615, 1998Polinder, H., Damen, M.E.C., Gardner, F., Linear PM generator system for wave energy conversion in the AWS (2004) IEEE Trans. Energy Conv, 19, pp. 583-589;
Leijon, M., Bernhoff, H., Agren, O., Isberg, J., Sundberg, J., Berg, M., Karlsson, K.E., Wolfbrandt, A., Multiphysics simulation of wave energy to electric energy conversion by permanent magnet linear generator (2005) IEEE Trans. Energy Conv, 20, pp. 219-224;
Nasar, S.A., Boldea, I., (1987) Linear Electric Motors, , Prentice-Hall;
Skelton, R., Dynamics and control of tensegrity systems (2005) IUTAM conf, , Munich, June;
Salter, S.H., Taylor, J.R.M., Caldwell, N.J., Power conversion mechanisms for wave energy (2002) Proc. Inst. Mech. Engr., Part M: J. for the Maritime Environment, 216;
H2W website, , www.h2wtech.com
CORRESPONDENCE ADDRESS: Scruggs, J.T.; Dynamic Systems Research, Inc., San Diego, CA, United States; email: scruggs@caltech.com
CONFERENCE NAME: 45th IEEE Conference on Decision and Control 2006, CDC
CONFERENCE DATE: 13 December 2006 through 15 December 2006
CONFERENCE LOCATION: San Diego, CA
coden 71426
ISSN: 01912216
ISBN: 1424401712; 9781424401710
CODEN: PCDCD
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Proc IEEE Conf Decis Control
DOCUMENT TYPE: Conference Paper
SOURCE: Scopus
Averseng, J.a , Dubé, J.-F.b , Crosnier, B.b , Motro, R.b
Active control of a tensegrity plane grid
(2005) Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, 2005, art. no. 1583260, pp. 6830-6834. Cited 3 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-33847202891&partnerID=40&md5=a6f4bb2569a468ea8db82cd13b6be513
AFFILIATIONS: Laboratory of Mechanic and Civil Engineering, University Montpellier II, 34095 Montpellier, France;
Laboratory of Mechanic and Civil Engineering, University Montpellier II, 34095 Montpellier, France
ABSTRACT: Tensegrity systems are selfstressed reticulate space structures. As lightweight frames, they are subject to deformation and vibration Issues when faced to natural stimulations such as temperature gradients or wind. Classical passive solutions Impose to rigidify components or to add damping In the structure using heavy devices. Active systems, mainly developed In space and seismic fields, are controlled using external energy brought by activators. We describe In this paper a mixed geometric and dynamic active control of tensegrity structures using a robust control design technique. An experiment is carried out on a six selfstress states plane tensegrity grid. © 2005 IEEE.
INDEX KEYWORDS: Active control; Selfstressed reticulate space structures; Temperature gradients; Tensegrity systems, Deformation; Geometry; Robustness (control systems); Seismology; Stresses; Structural frames, Mechanical variables control
REFERENCES: Fuller, R., (1973) The dymaxion world of Buckminster Fuller, , New York: Anchoor Books;
Snelson, K., (1973) Tensegrity Mast, , Bolinas, Californie: Shelter Publications;
Motro, R., Tensegrity (2003) Kogan Page Science;
Quirant, J., Kazi-Aoual, M.N., Motro, R., Designing tensegrity systems: The case of a double layer grid (2003) Engineering Structures, 25, pp. 1121-1130., July;
Sanchez, L.R., (2005) Contribution à l?étude mécanique des systèmes de tenségrité, , Thesis, Université Montpellier 2;
J. Averseng, M. K. Aoual, and B. Crosnier, Selfstress state implementation methodology, in Fifth International Conference on Space Structures, T. Telford, ed., University of Surrey, Guildford, UK, pp 31-38, P. Disney and G. Parke, August 2002Fest, E., Shea, K., Domer, B., Smith, I., Adjustable tensegrity structures (2003) Journal of Structural Engineering, ASCE, 129, pp. 515-526;
Sultan, C., Modeling, Design and Control of Tensegrity Structures with Applications (1999), PhD thesis, Purdue University, West LafayetteW. Chan, D. Arbelaez, B. F., and R. Skleton, Active vibration control of a three-stage tensegrity structure, in SPIE 11th Annual International Symposium on Smart Structures and Materials, San Diego, California, USA, March 2004R. Motro and V. Raducanu, Tensarch project, in Fifth international conference on space structures, T. Telford, ed., University of Surrey, Guildford, UK, pp. 57-66, P. Disney and G. Parke, August 2002Pellegrino, S., Calladine, C., Matrix analysis of statically and kinematically indeterminate frameworks (1986) International Journal of Solids and Structures, 22, pp. 409-428;
Quirant, J., (2000) Systèmes de tenségrité et autocontrainte: Qualification, sensibilité et incidence sur le comportement, , Thesis, Université Montpellier II;
Averseng, J., Crosnier, B., Prestressing tensegrity systems? application to multiple selfstress systems (2004) International Journal of Structural Stability and Dynamics, 4, pp. 543-557., December;
Zhou, K., Doyle, J., Glover, K., (1996) Robust and Optimal Control, , NJ: Prentice Hall
CORRESPONDENCE ADDRESS: Averseng, J.; Laboratory of Mechanic and Civil Engineering, University Montpellier II, 34095 Montpellier, France; email: averseng@lmgc.univ-montp2.fr
CONFERENCE NAME: 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
CONFERENCE DATE: 12 December 2005 through 15 December 2005
CONFERENCE LOCATION: Seville
coden 69208
ISBN: 0780395689; 9780780395688
DOI: 10.1109/CDC.2005.1583260
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Proc. 44th IEEE Conference Decision and Ctrl. Eur. Ctrl. Conf. CDC-ECC'05
DOCUMENT TYPE: Conference Paper
SOURCE: Scopus
Smaili, A., Motro, R.
A self-stress maintening folding tensegrity system by finite mechanism activation
(2005) Journal of the International Association for Shell and Spatial Structures, 46 (148), pp. 85-93. Cited 3 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-26444465092&partnerID=40&md5=5e4eced1aa7a9bb8df60f1759fc27ef3
AFFILIATIONS: Laboratoire de Mécanique et Génie Civil, UMR5508, Université de Montpellier II, cc048, Place E. Bataillon, 34095 Montpellier, France
ABSTRACT: As a general rule, the folding of tensegrity systems occurs by removing and/or keeping self-stress in the structure. In this article, we will concentrate on the folding of tensegrity systems which keeps self-stress throughout the folding process. Finite mechanisms are used for this folding procedure, and the stability of the various members is ensured by self-stress effect within the structure throughout the process (this has been verified by real scaled models and computer aided simulations). The results found have demonstrated that one can act on part of the structure without affecting the structure as a whole. It is therefore possible to fold the grid as a whole or in part. The study of the fundamental folding characteristics has enabled us generalize this process to other tensegrity grids with double curvature, when some finite mechanisms can be activated.
AUTHOR KEYWORDS: Finite mechanisms; Folding; Self-stress; Tensegrity; Unfolding; Variable geometry
INDEX KEYWORDS: Computer simulation; Mathematical models; Stresses; Structural analysis, Finite mechanisms; Folding; Self-stress; Tensegrity; Unfolding, Shells (structures)
REFERENCES: Smaili, A., (2004) Systèmes Légers Pliables/dépliables: Cas des Systèmes de Tenségrité, , thèse de Doctorat, directeur de thèse: Motro R., Université Montpellier II, Montpellier, France, Septembre;
Motro, R., Tensegrity: Structural systems for the future (2003) Foldable Tensegrity, pp. 147-188;
Smaili, A., Motro, R., Foldable / un Foldable tensegrity systems by self-stress cancellation (2005) IASS Symposium: Theory, Technique, Valuation, Maintenance, , Accepted for September Bucharest-Romania;
Smaili, A., Motro, R., Raducanu, V., New concept for deployable tensegrity systems (2004) IASS Symposium: Shell and Spatial Structures from Models to Realization, , 20-24 September Montpellier, France
CORRESPONDENCE ADDRESS: Smaili, A.; Laboratoire de Mécanique et Génie Civil, UMR5508, Université de Montpellier II, cc048, Place E. Bataillon, 34095 Montpellier, France
ISSN: 03043622
CODEN: JIASF
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: J Int Assoc Shell Spatial Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Fu, F.
Structural behavior and design methods of Tensegrity domes
(2005) Journal of Constructional Steel Research, 61 (1), pp. 23-25. Cited 24 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-4544311217&partnerID=40&md5=57ce054da4c40eac952631c2ee180732
AFFILIATIONS: School of Civil Engineering, University of Leeds, LS2 9JT Leeds, United Kingdom
ABSTRACT: A comprehensive study on the structural behavior and structural types of Tensegrity domes is presented. The numerical analysis method of Tensegrity structure is also discussed. The first Tensegrity domeGeorgia Dome is analyzed as a prototype through a non-linear software using the numerical method presented in the paper. Based on the analysis, the structural behavior of the Tensegrity dome is summarized and therefore, some design methods for the Tensegrity dome are proposed. Based on the above studies, several new types of Tensegrity domes with different geometric grids are proposed by the author. A comparison of the structural behavior between the Georgia Dome and the domes proposed by the author is also made. © 2004 Elsevier Ltd. All rights reserved.
AUTHOR KEYWORDS: Equilibrium; Non-linear; Static; Tensegrity
INDEX KEYWORDS: Costs; Nonlinear systems; Numerical analysis; Phase equilibria; Software prototyping; Structural design, Equilibrium; Non-linear; Static; Tensegrity, Structural analysis
REFERENCES: Fu, F., (2000) Study on the New Prestressed Tensegrity Structure, p. 5., Thesis of Master, Beijing University of Technology;
Fuller, R.B., (1975) Synergetics Explorations in the Geometry of Thinking, , Collier Macmillan Publishers London;
Geiger, D., Stefaniuk, A., Chen, D., The design and construction of two cable domes for the Korean Olympics, shells, membranes and space frames (1986) Proceedings of IASS Symposium, 2, pp. 265-272., Osaka;
Hanaor, A., Developments in tensegrity systems: An overview (1993) Proceedings of the 4th Conference on Space Structures, pp. 987-997., H. Nooshin. University of Surrey;
Kebiche, K., Kazi-Aoual, M.N., Motro, R., Geometrical non-linear analysis of tensegrity systems (1999) Engineering Structures, 21 (9), pp. 864-876;
Levy, M., Hypar-tensegrity dome (1989) Proceedings of International Symposium on Sports Architecture, pp. 157-162., Beijing;
Levy, M., Floating fabric over Georgia dome (1991) Civil Engineering ASCE, pp. 34-37;
Motro, R., Tensegrity systems: The state of the art (1992) International Journal of Space Structures, 7 (2), pp. 75-81;
Rebielak, J., Structural system of cable dome shaped by means of simple form of spatial hoops (2000) Lightweight Structures in Civil Engineering, pp. 114-115., Micro-Publisher Jan B. Obrebski Wydawnictwo Naukowe Warsaw, Poland;
Sultan, C., Corless, M., Skelton, R.E., The prestressability problem of tensegrity structures: Some analytical solutions (2001) International Journal of Solids and Structures, 38 (3031), pp. 5223-5252;
Wang, B.B., Cable-Strut system: Part 1, tensegrity (1998) Journal of Constructional Steel Research, 45 (3), pp. 281-289;
Williamson, D., Skelton, R.E., Han, J., Equilibrium conditions of a tensegrity structure (2003) International Journal of Solids and Structures, 40 (23), pp. 6347-6367
CORRESPONDENCE ADDRESS: Fu, F.; School of Civil Engineering, University of Leeds, LS2 9JT Leeds, United Kingdom; email: cenffu@leeds.ac.uk
ISSN: 0143974X
DOI: 10.1016/j.jcsr.2004.06.004
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: J. Constr. Steel Res.
DOCUMENT TYPE: Article
SOURCE: Scopus
Averseng, J., Crosnier, B.
Prestressing tensegrity systems - Application to multiple selfstress state structures
(2004) International Journal of Structural Stability and Dynamics, 4 (4), pp. 543-557. Cited 6 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-10444269284&partnerID=40&md5=fb80d6520198dc7233aa7a6cf3e898b2
AFFILIATIONS: Lab. of Mech. and Civ. Engineering, University of Montpellier II, 34090 Montpellier, France
ABSTRACT: Stress control is a major issue in the development of prestressed structures like the tensegrity systems that gain from it equilibrium and stability. In this paper, we present a simple method for adjusting the whole set of normal forces in this kind of structure, based on a combination of influences determined from the unit variations of rest lengths for a reduced set of active cables. According to an elementary criterion, tension and compression forces are kept in a reduced domain during the implementation stage in order to avoid unwanted transitory stress levels. The process is then simulated to retrieve the modifications for actual lengths that are to be implemented in the correct order. Finally, we describe the application of this method on a 1:1 scale double layer tensegrity grid.
AUTHOR KEYWORDS: Active cables; Double layer grid; Prestressing; Tensegrity; Transitory levels
INDEX KEYWORDS: Computer simulation; Construction industry; Mathematical models; Phase equilibria; Pneumatics; Prestressing; Stress analysis, Active cables; Double layer grid; Tensegrity; Transitory level, Structural analysis
REFERENCES: Snelson, K., (1973) Tensegrity Mast, , Shelter Publications, Bolinas, CA;
Fuller, R.B., (1973) The Dymaxion World of Buckminster Fuller, , Anchoor Books, New York;
Emmerich, D.G., (1988) Structures Tendues Et Autotendantes, , Edition de l'Ecole d'Architecture de Paris La Vilette;
Motro, R., (2003) Tensegrity, , Kogan Page Science;
Pedretti, M., Smart tensegrity structures for the Swiss Expo 2001 (1998) Proc. LSA 98 "Lightweight Structures in Architecture Engineering and Construction", 2, pp. 684-691;
Fest, E., Shea, K., Domer, B., Smith, I., Adjustable tensegrity structures (2003) J. Struct. Eng. ASCE, 129 (4), pp. 515-526;
Kawaguchi, K., Lu, Z.-Y., Construction of three-strut tension systems (2002) Fifth International Conference on Space Structures, , University of Surrey, Guilford;
Kono, Y., Choong, K.K., Shimada, T., Kunieda, H., An experimental investigation of a type of double layer tensegrity grids (2000) J. IASS, 41 (131);
Motro, R., Raducanu, V., Tensarch project (2002) Fifth International Conference on Space Structures, , University of Surrey, Guildford;
Quirant, J., Kazi-Aoual, M.N., Motro, R., Designing tensegrity systems: The case of a double layer grid (2003) Eng. Struct., 25, pp. 1121-1130;
Averseng, J., Kazi-Aoual, M.N., Crosnier, B., Selfstress state implementation methodology (2002) Fifth International Conference on Space Structures, , University of Surrey, Guilford;
Crosnier, B., Cévaër, F., (2001) Stratégies de Mise en Prétension dans les Systèmes de Tenségrité et Contrôles, , Colloque Lagrange, Tenségrité: analyse et projets, Rome;
Kawaguchi, K., Hangaï, Y., Pellegrino, S., Furuya, H., Shape and stress control analysis of prestressed truss structures (1996) J. Reinf. Plast. Compos., 15, pp. 1226-1236;
Zhong, Y., Displacment control of prestressed structures (1997) Comput. Methods Appl. Mech. Eng., 144, pp. 51-59
CORRESPONDENCE ADDRESS: Averseng, J.; Lab. of Mech. and Civ. Engineering, University of Montpellier II, 34090 Montpellier, France; email: averseng@lmgc.univ-montp2.fr
ISSN: 14658763
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Int. J. Struct. Stab. Dyn.
DOCUMENT TYPE: Article
SOURCE: Scopus
Averseng, J., Crosnier, B.
Static and dynamic robust control of tensegrity systems
(2004) Journal of the International Association for Shell and Spatial Structures, 45 (146), pp. 169-174. Cited 10 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-12344273615&partnerID=40&md5=77917112c85477289e75bda9d040794f
AFFILIATIONS: Lab. de Mecan. et Génie Civil, UMR 5508, Université Montpellier II, CC 048, Pl. Eugène Bataillon, 34 095 Montpellier, France
ABSTRACT: Tensegrity systems are selfstressed reticulate space structures. As lightweight frames, they are subject to deformation and vibration issues when faced to natural stimulation such as wind or footsteps. Classical passive solutions impose to rigidify components or to add damping in the structure, using heavy devices. Active systems, mainly developed in space and seismic fields, are controlled using external energy brought by activators. We describe in this paper a mixed approach for active geometric and dynamic control of tensegrity structures, using robust control design technique. An experiment is carried out on a six selfstress states plane tensegrity grid.
AUTHOR KEYWORDS: Active control; Robustness; Tensegrity
INDEX KEYWORDS: Computer simulation; Damping; Digital filters; Light weight structures; Residual stresses; Rigidity; Robustness (control systems); Structural frames; Technical presentations, Active control; Dynamic solicitations; Tensegrity systems, Structural analysis
REFERENCES: Fuller, R.B., (1973) The Dymaxion World of Buckminster Fuller, , Anchor Books, New York;
Snelson, K., (1973) Tensegrity Mast, , Bolinas Californie, Shelter Publications;
Motro, R., (2003) Tensegrity, , Kogan Page Science, ISBN: 1903996376;
Motro, R., Raducanu, V., Tensarch project" (2002) Fifth International Conference on Space Structures, , University of Surrey, Guildford;
Pellegrino, S., Calladine, C.R., Matrix analysis of statically and kinematically indeterminate frameworks (1986) International Journal of Solids and Structures, 22, pp. 409-428;
Kazi-Aoual, M.N., Quirant, J., Laporte, R., L'autocontrainte dans les systèmes de tenségrité (2003) Revue Française De Génie Civil, 7 (3), pp. 343-355;
Averseng, J., Kazi-Aoual, M.N., Crosnier, B., Selfstress state implementation methodology (2002) Fifth International Conference on Space Structures, , University of Surrey, Guilford;
Zhou, K., Doyle, J.C., Glover, K., (1996) Robust and Optimal Control, , Prentice Hall, NJ
CORRESPONDENCE ADDRESS: Averseng, J.; Lab. de Mecan. et Génie Civil, UMR 5508, Université Montpellier II, CC 048, Pl. Eugène Bataillon, 34 095 Montpellier, France; email: averseng@lmgc.univ-montp2.fr
ISSN: 03043622
CODEN: JIASF
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: J Int Assoc Shell Spatial Struct
DOCUMENT TYPE: Review
SOURCE: Scopus
Bradshaw, R.a , Campbell, D.b , Gargari, M.c , Mirrniran, A.d , Tripeny, P.e
Special Structures: Past, Present, and Future
(2003) Perspectives in Civil Engineering: Commemorating the 150th Anniversary of the American Society of Civil Engineers, pp. 143-161.
http://www.scopus.com/inward/record.url?eid=2-s2.0-1642287509&partnerID=40&md5=bfe6eda21b652964c49e2cd508582be9
AFFILIATIONS: Richard R. Bradshaw, Inc., 17300 Ballinger, Northridge, CA 91325, United States;
Geiger Engineers, 2 Executive Blvd., Suffern, NY 10901, United States;
Dept. of Construction Sciences, Univ. of Cincinnati, Cincinnati, OH 45206, United States;
Dept. of Civil Engineering, North Carolina State Univ., Raleigh, NC 27695, United States;
Graduate School of Architecture, Univ. of Utah, 375 South 1530 East, Salt Lake City, UT 84112, United States
ABSTRACT: Special structures are landmarks and testimonials to the achievements of the structural engineering profession. They are true three-dimensional representations of our equilibrium equations and affirmations of our analytical techniques, design standards and construction practices. They include many types of structures, such as: space frames or grids; cable-and-strut and tensegrity; air-supported or air-inflated; self-erecting and deployable; cable net; tension membrane; lightweight geodesic domes; folded plates; and thin shells. This work celebrates the ASCB's sesquicentennial by providing a historical perspective on how special structures have evolved, their state-of-practice in the dawn of the 21st century, and a projection of their potential trends and evolution into the future.
AUTHOR KEYWORDS: Domes, structural; Fabrics; Grid Systems; Membranes; Plates; Spacing; State-of-the-art reviews
INDEX KEYWORDS: Grid systems; Spacing; State-of-art reviews; Tension membranes, Buckling; Compaction; Deformation; Domes; Plates (structural components); Shells (structures); Structural design; Structural loads; Yield stress, Civil engineering
REFERENCES: Beles, A.A., Soare, M.V., (1966) Space Structures, , R. M. Davies, ed., Univ. of Surrey, Guilford, U.K;
Bradshaw, R.R., Application of the general theory of shells (1961) J. Am. Concr. Inst., 58 (2), pp. 129-147;
Chilton, J., (2000) Space Grid Structures, , Architectural Press, Boston;
Condit, C., (1961) American Building Art: The Twentieth Century, , Oxford University Press, New York;
Csonka, P., (1962) Simplified Calculation Methods of Shell Structures, pp. 219-234., North Holland, Amsterdam;
Cuoco, D.A., Guidelines for the design of double-layer grids (1997) Special Structures Committee Rep., , ASCE, New York;
Donnell, L.H., (1933) Stability of Thin Walled Tubes under Torsion, , Rep. No. 479, National Advisory Committee for Aeronautics, Washington, D.C. (out of print);
Engel, H., (1968) Structure Systems, , Fredrick A. Praeger, Ind., New York;
Faber, C., (1963) Candela: The Shell Builder, , Van Nostrand Reinhold, New York;
Gargari, M., (1993) Behavior Modification of Space Trusses, , PhD thesis, Concordia Univ., Montréal;
Gerrits, J.M., Morphology of structural connections of space frames (1994) Proc., 2nd Int. Seminar on Structural Morphology, pp. 47-56., International Association for Shell and Spatial Structures, Institute for Light-weight Structures, Stuttgart, Germany;
Gould, P.L., (1988) Analysis of Shells and Plates, , Springer, New York;
Joedicke, J., (1963) Shell Architecture, , Van Nostrand Reinhold, New York;
Madugula, M.S., Dynamic response of lattice towers and guyed masts (2002) Special Structures Committee Rep., , ASCE, Reston, Va;
Mainstone, R., (1975) Developments in Structural Form, , MIT Press, Cambridge, Mass;
Martin, E., Wilmeth, D.B., (1988) Mud Show: American Tent Circus Life, , Univ. of New Mexico Press, Albuquerque, N.M;
(1955) Progressive Architecture, , New York;
Schmidt, L.C., Morgan, P.R., Hanaor, A., Ultimate load testing of space trusses (1982) J. Struct. Div., 108 (6), pp. 1324-1335;
Schueller, W., (1983) Horizontal-span Building Structures, , Wiley, New York;
Wachsmann, K., (1961) The Turning Point of Building; Structure and Design, , T. E. Burton, translator, Van Nostrand Reinhold, New York
CORRESPONDENCE ADDRESS: Bradshaw, R.; Richard R. Bradshaw, Inc., 17300 Ballinger, Northridge, CA 91325, United States
EDITORS: Russell J.S.
ISBN: 0784406863; 9780784406861
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Perspect. Civ. Eng. Commemorating 150th Anniv. Am. Soc. Civ. Eng.
DOCUMENT TYPE: Conference Paper
SOURCE: Scopus
Motro, R.a , Raducanu, V.b
Tensegrity systems
(2003) International Journal of Space Structures, 18 (2), pp. 77-84. Cited 13 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0141508922&partnerID=40&md5=ae404c3f98fb8a679497fcb7be2fab49
AFFILIATIONS: Lab. de Mecanique et Genie Civil, UMR CNRS 5508, Université Montpellier II, Montpellier, France;
Ecole d'Arch. Languedoc Roussillon, Montpellier, France
ABSTRACT: This paper is a contribution to Tensegrity Systems understanding. The first part is devoted to a clarification of definitions. Among all the definitions that are known, we suggest a first one based on the description which is given in the three main patents, filed by Emmerich, Fuller and Snelson. We submit then an "extended definition". According to this definition, tensegrity systems can be regarded as a pure field of forces satisfying some specific conditions. A double layer grid, which fulfils this definition is described. In the second part, tensegrity systems are placed within the general category of tensile structures. It can be seen that this work paves the way to an improvement within the entire world of shapes. Finally we give an example of tensegrity system theory applied to biology and developed by D. Ingber.
INDEX KEYWORDS: Architecture; Compression testing; Rigidity; Space applications; Tensile testing, Tensegrity systems; Tensile structures, System theory
REFERENCES: Raducanu, V., Motro, R., New tensegrity grids (2000) International Journal of Space Structures;
(1992) International Journal of Space Structures. Special Issue a ≪Tensegrity Systems: State of Art≫, 7 (2)., R. Motro Guest Editor;
(1996) International Journal of Space Structures. Special Issue a ≪Morphology≫, 11 (1-2)., H. Lalvani Guest Editor; Elsevier(Pub);
Emmerich, D.G., Structures tendues et autotendantes (1988), Monographies de Geometrie Constructive. Editions de l'Ecole d'Architecture de Paris La VillettePugh, A., An introduction to tensegrity (1976), University of California Press, BerkeleyTardiveau, J., Siestrunck, R., Efforts et déformations dans les assemblages en treillis critiques et surcritiques en élasticité linéaire (1975) Note Présentée par M. M. Roy á l'Académie des Sciences, 280 (3)., 20 janvier;
Roth, B., Whiteley, W., ≪Tensegrity frameworks & Gt (1988) Transactions of the American Mathematical Society, 256 (2), pp. 419-446;
Motro, R., (1983) Formes et Forces Dans les Systémes Constructifs. Cas des Systémes Réticulés Spatiaux Autocontraints, 2., These d'Etat. Universite Montpeller II. 2 juin;
Vassart, N., Laporte, R., Motro, R., Determination of mechanisms's order for kinematically and statically indeterminate systems (2000) International Journal of Solids and Structures, 37, pp. 3807-3839;
Current and emerging technologies of shell and spatial structures (1997), Motro R Tensegrity Systems and structural research; Madrid IASS Colloquium. 28-30 AvrilIngber, D.E., Tensegrity: The architectural basis of cellular mechanotransduction (1997) Annu. Rev. Physiol., pp. 575-599;
Ingber, D.E., The architecture of life (1998) Scientific American, pp. 30-39., January;
(2003), Motro, "Tensegrity", Hermes-Penton ISBN 1903996376CORRESPONDENCE ADDRESS: Motro, R.; Lab. de Mecanique et Genie Civil, UMR CNRS 5508, Université Montpellier II, Montpellier, France
ISSN: 02663511
CODEN: ISSTE
DOI: 10.1260/026635103769518198
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Int J Space Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Wang, B., Li, Y.
Novel cable-strut grids made of prisms: Part I. Basic theory and design
(2003) Journal of the International Association for Shell and Spatial Structures, 44 (142), pp. 93-108. Cited 7 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-2942557226&partnerID=40&md5=94195bd515e5084401bb0c8f3c84af5b
ABSTRACT: Cable structures become the focus of contemporary researchers due to people's pursuit in lightweight forms. However, the attractiveness of cable structures are not expressed sufficiently as they often rely on boundary anchoring system to equilibrate. So question remains that can we develop free-standing cable networks that are both fascinating and lightweight? For tens of years, tensegrity systems were developed to realize the dream despite that the actual structural efficiency is not high as expected. The concept of cable-strut grids was developed by the first author to avoid the low structural efficiency of tensegrity grids. The broadening of the concept opens the field to the creation of a wide variety of structurally efficient and architecturally attractive forms. In this two-part paper, a new invention of lightweight cable-strut grids made of self-stabilized prisms (Ps) by short bars inside and long cables outside is presented. The first part is focused on the basic theory, including simplex characteristics, configurations, and mechanical properties of basic grids. The structural efficiency of P grids is illustrated in case studies. Finally, related joint design is discussed conceptually.
AUTHOR KEYWORDS: Cable-Strut; Joint; Prism; Space Truss; Tensegrity
INDEX KEYWORDS: Cable supported roofs; Joints (structural components); Loads (forces); Prisms; Structural design; Tensile properties; Trusses, Cable-strut grids; Space truss; Tensegrity, Struts
REFERENCES: Motro, R., Tensegrity systems: The state of the art (1992) Int. J. Space Structures, 7 (2), pp. 75-83;
Wang, B.B., Li, Y.Y., Definition of tensegrity systems. Can dispute be settled? (1998) Proceedings of LSA98 "Lightweight Structures in Architectural Engineering and Construction", 2, pp. 713-719;
Motro, R., Tensegrity: The state of the art (2002) 5th International Conference on Space Structures, pp. 97-106., Guildford;
Hanaor, A., Tensegrity: Theory and application (1997) Beyond the Cube, pp. 385-408., J. F. Gabriel Ed., John Wiley & Sons;
Wang, B.B., Li, Y.Y., From tensegrity grids to cable-strut grids (2001) Int. J. Space Structures, 16 (4), pp. 279-314;
Wang, B.B., Liu, X.L., General study of tensegrity grids of bar-to-bar connection (1998) Int. J. Space Structures, 13 (1), pp. 31-35., England;
Motro, R., Tensegrity systems and geodesic domes (1999) Int. J. Space Structures, 5 (3-4), pp. 341-351;
Wang, B.B., Cable-strut systems (1998) J. Constructional Steel Research, 45 (3), pp. 281-299., England;
Argyris, J.H., Scharpf, D.W., Large deflection analysis of prestressed networks (1972) J. Structural Division, 98 (ST3), pp. 633-654., ASCE;
Wang, B.B., (2002), A type of cable grid structures, Chinese Patent No. ZL00112025.5, filed January 14, 2000, granted December 11Wang, B.B., (2002), Load-bearing cable grid, Chinese Patent No. ZL01237975.1, filed May 24, 2001, granted March 6ISSN: 03043622
CODEN: JIASF
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: J Int Assoc Shell Spatial Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Wang, B., Li, Y.
Novel cable-strut grids made of prisms: Part II. Deployable and architectural studies
(2003) Journal of the International Association for Shell and Spatial Structures, 44 (142), pp. 109-125. Cited 4 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-2942559064&partnerID=40&md5=8872a9e4f9e73463444301ff477272b8
ABSTRACT: Cable-strut grids cover a wide variety of forms based on a large family of cable-strut Simplexes. In the first of the two-part paper, the concept and basic properties of a novel type of cable-strut grids made of prisms (P Simplexes), which utilize long edge cables and short internal struts to brace the volume, are studied. Studies show high structural efficiency of grids composed of P Simplexes, although more efficient cable-strut grids are feasible. In addition to the traditional application as supporting grid structures, P grids have additional merits in deployable functions and expertise in architecture, which are focused in this second part. Discussion of deployment functions includes several possible means, including telescopic strut method, energy-loaded strut method and releasing cable method. In the architectural aspects, P Simplexes are introduced in linear, planar, and space forms enriched by morphological studies. Finally, two concepts are presented to extend the invention in new architectural forms based on structurally efficient skeleton. One relies on reshaped Simplexes itself to present aesthetics. The other expresses structural art through sculptures of shaped roof material supported by matched structural design.
AUTHOR KEYWORDS: Architecture; Cable-Strut; Deployable; Morphology; Prism; Space Truss; Tensegrity
INDEX KEYWORDS: Architectural design; Cable supported roofs; Loads (forces); Morphology; Prisms; Structural design; Tensile properties; Trusses, Cable-strut grids; Releasing cable method; Sapce trusses; Tensegrity, Struts
REFERENCES: Hanaor, A., Some structural morphological aspects of deployable structures for space enclosures IASS Structural Morphology Colloquium 2000 - Bridge between Civil Engineering and Architecture, pp. 196-205;
Escrig, F., Valcárcel, J.P., Geometry of expandable space structures (1993) Int. J. Space Structures, 8 (1-2), pp. 71-84;
Hollaway, L., York, D., Numerical analysis of an energy loaded joint for a deployable satellite structure (1995) Int. J. Space Structures, 10 (1), pp. 47-55;
Hanaor, A., Tensegrity: Theory and application (1997) Beyond the Cube, pp. 385-408., J. F. Gabriel Ed., John Wiley & Sons;
Bouderbala, M., Tensegrity systems folding modelisation IASS International Symposium'97 on Shell & Spatial Structures, pp. 177-185., Singapore;
Liapi, K., (2002) A Novel Portable and Collapsible Tensegrity Unit for the Rapid Assembly of Tensegrity Networks, Space Structures, 5, pp. 39-46., Thomas Telford, London;
Wang, B.B., Liu, X.L., Integral-tension research in double-layer tensegrity grids (1996) Int. J. Space Structures, 11 (4), pp. 349-355;
Emmerich, D.G., Self-tensioning spherical structures: Single and double spheriods (1990) Int. J. Space Structures, 5 (3-4), pp. 351-374., England;
Hilyard, M.J., Lalvani, H., Emmerich-type structures constructed from tensegrity modules IASS Structural Morphology Colloquium 2000, pp. 196-205., Bridge Between Civil Engineering & Architecture;
Emmerich, D.G., Absolute minimal self-tensioning configurations (1993) Proc. the Fourth Int. Conference on Space Structures, pp. 998-1007., G.A.P. Parke and C.M. Howard, eds., Thomas Telford, London;
Grip, A., The correspondence between convex polyhedra and tensegrity systems": A classification system (1992) Int. J. Space Structures, 7 (2), pp. 115-125., England;
Kono, Y., An experimental investigation of a type of double-layer tensegrity grids (1999) J. IASS, 40 (2), pp. 103-111;
Motro, A., Tensarch: A tensegrity double-layer grid prototype (2002) Space Structures 5, pp. 57-66., Thomas Telford, London;
Wang, B.B., Cable-strut systems (1998) J. Constructional Steel Research, 45 (3), pp. 281-299., England;
Wang, B.B., (2002), A type of cable grid structures, Chinese Patent No. ZL00112025.5, filed January 14, 2000, granted December 11Wang, B.B., (2002), Load-bearing cable grid, Chinese Patent No. ZL01237975.1, filed May 24, 2001, granted March 6Wang, B.B., Li, Y.Y., From tensegrity grids to cable-strut grids (2001) Int. J. Space Structures, 16 (4), pp. 279-314;
Wang, B.B., Li, Y.Y., Novel cable-strut grids made of prisms: Part I. Basic theory and design (2003) J. I ASS, 44 (2);
Wang, B.B., Free-standing Tension Structures: From Tensegrity to Cable-strut Systems, , book proposal, in press
ISSN: 03043622
CODEN: JIASF
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: J Int Assoc Shell Spatial Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Quirant, J., Kazi-Aoual, M.N., Motro, R.
Designing tensegrity systems: The case of a double layer grid
(2003) Engineering Structures, 25 (9), pp. 1121-1130. Cited 30 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0038684448&partnerID=40&md5=8e091ac9302f31d3eaa7ac777fc8f0a3
AFFILIATIONS: Université Montpellier II, Lab. de Mecanique et Genie Civil, UMR CNRS 5508, Place Eugène Bataillon, Montpellier Cedex 05 34095, France
ABSTRACT: Tensegrity systems are innovative strut and cable systems used in Civil Engineering. Their lightness and the impression of transparency they convey represent new sources of inspiration for architects. Nevertheless, their conception and their design are not easy insofar as these systems are reticulate, spatial and self-stressed. In this article we set out to present the different stages of the conception and the design of tensegrity systems. The study of the selfstress, the choice of its level, the design of the elements and the study of the sensitivity to manufacturing element errors are the different subjects described. We will then present the concrete case of a double layer grid of 81 m2 area. © 2003 Elsevier Science Ltd. All rights reserved.
AUTHOR KEYWORDS: Design; Selfstress states; Sensitivity; Tensegrity systems
INDEX KEYWORDS: Cables; Concrete construction; Error analysis; Stresses; Struts, Tensegrity systems, Structural design, tensioning system
REFERENCES: Snelson, K., (1973) Tensegrity Mast, , Bolinas Californie: Shelter Publications;
Fuller, R.B., (1973) The Dymaxion World of Buckminster Fuller, , New York: Anchoor Books;
Emmerich, D.G., (1988) Structures Tendues et Autotendantes, , Edition de l'Ecole d'Architecture de Paris La Vilette;
Motro, R., Tensegrity, , Hermes Editions, Penton (UK), in press;
Motro, R., (1997) Systèmes de Tenségrité, Actes du Séminaire Du 4 Décembre, , Ecole d'Architecture du Languedoc Roussillon, Editions de l'Espérou, ISBN 2-912261-06-6;
Vassart, N., Laporte, R., Motro, R., Determination of mechanisms's order for kinemetically and statically indeterminate systems (2000) International Journal Solids and Structures, 37 (28), pp. 3807-3839;
Vassart, N., (1997) Recherche de Forme et Stabilité des Systèmes Réticulés Spatiaux Autocontraints - Application Aux Systèmes De Tenségrité, , Thèse, Université Montpellier II;
Sheck, H.J., The force density method for formfinding and computation of networks (1974) Computer Methods in Applied Mechanics and Engineering, 3, pp. 115-134;
Quirant, J., (2000) Systèmes de Tenségrité et Autocontrainte: Qualification, Sensibilité Et Incidence Sur Le Comportement, , Thèse, Université de Montpellier II, 15 Juin;
Kebiche, K., Kazi Aoual, M.N., Motro, R., Geometrical non-linear analysis of tensegrity systems (1999) Engineering Structures, 21, pp. 864-876;
Murakami, H., Static and dynamic analyses of tensegrity structures. Part 1. Nonlinear equations motion (2001) International Journal of Solids and Structures, 38, pp. 3599-3613;
Kebiche, K., (1998) Etude En Non-linéarités Géométriques Et Homogénéisation Des Systèmes Réticulés Spatiaux Autocontraints, , Thèse, Université Montpellier II;
Quirant, J., Kebiche, K., Kazi Aoual, M.N., Etude des systèmes de tenségrité (2000) Revue Française de Génie Civil, 4, pp. 439-441;
Calgaro, J.-A., (1996) Introduction Aux Eurocodes-Sécurité des Constructions Et Bases De La Théorie De La Fiabilité, , Presses de l'Ecole Nationale des Ponts et Chaussées, ISBN 2-85978-264-8;
Quirant, J., Kazi Aoual, N., Motro, R., Tensegrity systems: Selfstress states and sensitivity IASS-IACM 2000, pp. 170-171., Fourth International Colloquium on Computation of Shell and Spatial Structures. June 4-7, Chania Crete. Résumé Texte en CD Rom;
Pellegrino, S., Calladine, C.R., Matrix analysis of statically and kinematically undeterminate frameworks (1986) International Journal Solids and Structures, 22 (4), pp. 409-428;
(2000) Eurocode 1. Actions du Vent et de la Neige sur les Structures, , AFNOR Paris, ISBN 2-12-130577-4;
Motro, R., (2002) First International Conference on Space Structures, pp. 57-66., Telford T. Tensarch Project , (Ed.), Guilford, UK: G.A.R. Park and P. Disney
CORRESPONDENCE ADDRESS: Motro, R.; Université Montpellier II, Lab. de Mecanique et Genie Civil, UMR CNRS 5508, Place Eugène Bataillon, Montpellier Cedex 05 34095, France; email: motro@lmgc.univ-montp2.fr
ISSN: 01410296
CODEN: ENSTD
DOI: 10.1016/S0141-0296(03)00021-X
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Eng. Struct.
DOCUMENT TYPE: Article
SOURCE: Scopus
Bradshaw, R.a , Campbell, D.b , Gargari, M.c , Mirmiran, A.d , Tripeny, P.e
Special structures: Past, present, and future
(2002) Journal of Structural Engineering, 128 (6), pp. 691-709. Cited 17 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0348200558&partnerID=40&md5=ec57ec1c4d974f397d53be20cc83b7d1
AFFILIATIONS: Richard R. Bradshaw, Inc., 17300 Ballinger, Northridge, CA 91325, United States;
Geiger Engineers, 2 Executive Blvd., Ste. 410, Suffern, NY 10901, United States;
Dept. of Construction Sciences, Univ. of Cincinnati, Cincinnati, OH 45206, United States;
Dept. of Civil Engineering, North Carolina State Univ, Raleigh, NC 27695, United States;
Graduate School of Architecture, Univ. of Utah, 375 South 1530 East, Salt Lake City, UT 84112, United States
ABSTRACT: Special structures are landmarks and testimonials to the achievements of the structural engineering profession. They are true three-dimensional representations of our equilibrium equations and affirmations of our analytical techniques, design standards and construction practices. They include many types of structures, such as: space frames or grids; cable-and-strut and tensegrity; air-supported or air-inflated; self-erecting and deployable; cable net; tension membrane; lightweight geodesic domes; folded plates; and thin shells. This work celebrates the ASCE's sesquicentennial by providing a historical perspective on how special structures have evolved, their state-of-practice in the dawn of the 21st century, and a projection of their potential trends and evolution into the future.
AUTHOR KEYWORDS: Domes, structural; Fabrics; Grid systems; Membranes; Plates; Spacing; State-of-the-art reviews
INDEX KEYWORDS: Grid systems; Lightweight geodesic domes; State-of-the-art reviews; Tension membranes, Domes; Fabrics; Geomembranes; Plates (structural components); Standards; Structural frames; Struts, Structural design, Fabric; Frames; Membranes; Plates; Spacing; Standards; Structural Design; Structural Engineering
REFERENCES: Beles, A.A., Soare, M.V., (1966) Space Structures, , R. M. Davies, ed., Univ of Surrey, Guilford, U.K;
Bradshaw, R.R., Application of the general theory of shells (1961) J. Am. Concr. Inst., 58 (2), pp. 129-147;
Chilton, J., (2000) Space Grid Structures, , Architectural Press, Boston;
Condit, C., (1961) American Building Art: The Twentieth Century, , Oxford University Press, New York;
Csonka, P., (1962) Simplified Calculation Methods of Shell Structures, pp. 219-234., North Holland, Amsterdam;
Cuoco, D.A., Guidelines for the design of double-layer grids (1997) Special Structures Committee Rep., , ASCE, New York;
Donnell, L.H., (1933) Stability of Thin Walled Tubes under Torsion, , Rep. No. 479, National Advisory Committee for Aeronautics, Washington, D.C. (out of print);
Engel, H., (1968) Structure Systems, , Fredrick A. Praeger, Ind., New York;
Faber, C., (1963) Candela: The Shell Builder, , Van Nostrand Reinhold, New York;
Gargari, M., (1993) Behavior Modification of Space Trusses, , PhD thesis, Concordia Univ., Montréal;
Gerrits, J.M., Morphology of structural connections of space frames (1994) Proc., 2nd Int. Seminar on Structural Morphology, pp. 47-56., International Association for Shell and Spatial Structures, Institute for Light-weight Structures, Stuttgart, Germany;
Gould, P.L., (1988) Analysis of Shells and Plates, , Springer, New York;
Joedicke, J., (1963) Shell Architecture, , Van Nostrand Reinhold, New York;
Madugula, M.S., Dynamic response of lattice towers and guyed masts (2002) Special Structures Committee Rep., , ASCE, Reston, Va;
Mainstone, R., (1975) Developments in Structural Form, , MIT Press, Cambridge, Mass;
Martin, E., Wilmeth, D.B., (1988) Mud Show: American Tent Circus Life, , Univ. of New Mexico Press, Albuquerque, N.M;
(1955) Progressive Architecture, , New York;
Schmidt, L.C., Morgan, P.R., Hanaor, A., Ultimate load testing of space trusses (1982) J. Struct. Div., 108 (6), pp. 1324-1335;
Schueller, W., (1983) Horizontal-span Building Structures, , Wiley, New York;
Wachsmann, K., (1961) The Turning Point of Building; Structure and Design, , T. E. Burton, translator, Van Nostrand Reinhold, New York
CORRESPONDENCE ADDRESS: Bradshaw, R.; Richard R. Bradshaw, Inc., 17300 Ballinger, Northridge, CA 91325, United States
ISSN: 07339445
CODEN: JSEND
DOI: 10.1061/(ASCE)0733-9445(2002)128:6(691)
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: J Struct Eng
DOCUMENT TYPE: Article
SOURCE: Scopus
Wang, B.-B.a , Li, Y.-Y.b
From tensegrity grids to cable-strut grids
(2001) International Journal of Space Structures, 16 (4), pp. 279-314. Cited 7 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-2942602504&partnerID=40&md5=db11b55561a39a1b9f239c65bf28d339
AFFILIATIONS: Department of Civil Engineering, National University of Singapore, Singapore 117576, Singapore;
#04-344, Block 2, Dover Road, Singapore 130002, Singapore
ABSTRACT: In this paper, tensegrity grids are extended to cable-strut grids as supporting structures. Can tensegrity structures replace the familiar forms? If not, why? How to achieve the goal? These questions are discussed in detail. Following a review of tensegrity concepts, various forms of non-contiguous strut and contiguous strut tensegrity configurations especially the geometrically rigid forms are presented and analysed through real-scale structural design. Analysis shows that the strut-to-cable connection among simplexes inherently induces low structural efficiency, because of the mechanisms produced at the connected vertices and especially cables in the compressive layer sustaining tensions, which result in low stiffness and much reduced structural depth. Contiguous strut configurations present much better properties, but as struts are still isolated in simplexes, they are much heavier than space trusses owing to excessive bar length and reduced structural depth due to bar inclination. All these drawbacks stem from the introduction of "islands of compression in a sea of tension" in simplexes and free-standing grids. Based on the analysis, lightweight forms are geometrically rigid and of improved structural depth, and above all, based on contiguous and short struts in both simplexes and grids. Tensegrity concept is accordingly transferred to cable-strut structures, and cable-strut concept and the principles of designing cable-strut simplexes are summarized. Some lightweight cable-strut grids, including AP (anti-prism) & ATP (anti-truncated-pyramid) grids developed from the bar-intersecting method to stabilise tensegrity simplexes, and RP (reciprocal prism) grids and CP (crystal-cell pyramid) grids based on novel simplexes, are introduced and their configurations and performance is illustrated. Their high structural efficiency, especially high stiffness and outstanding weight savings over space trusses is proved in case studies. The economical value of lightweight cable-strut grids is discussed finally.
REFERENCES: Motro, R., Tensegrity systems: The state of the art (1992) Int. J. Space Structures, 7 (2), pp. 75-83;
Emmerich, D.G., Construction de Reseaux Autotendants, French Patent 1,377,290, filed April 10,1963, granted Sep. 28, 1964Snelson, K., Snelson on tensegrity (1996) Int. J. Space Structures, 11 (1-2), pp. 43-48., England;
Snelson, K., Continuous Tension, Discontinuous Compression Structures, US patent 3,169,611, filed March 14, 1960, granted Feb. 16, 1965Emmerich, D.G., Self-tensioning spherical structures: Single and double spheroids (1990) Int. J. Space Structures, 5 (3-4), pp. 351-374., England;
Grip, R., The correspondence between convex polyhedra and tensegrity systems": A classification systems (1992) Int. J. Space Structures, 7 (2), pp. 115-125., England;
Emmerich, D.G., Absolute minimal self-tensioning configurations (1993) Proc. the Fourth Int. Conference on Space Structures, pp. 998-1007., G.A.P. Parke and C.M. Howard, eds., Thomas Telford, London;
Wang, B.B., Tensegrity structures as "ring beams" (1996) J. IASS, 37 (1), pp. 31-38., Spain;
Wang, B.B., Definition and feasibility studies of tensegrity systems (1998) Int. J. Space Structures, 13 (1), pp. 43-49., England;
Fuller, R.B., (1975) Synergetics: Explorations in the Geometry of Thinking, , Collier Maccnillan Publishers. London;
Vilnay, O., Cable Nets and Tensegric Shells (1990) Analysis and Design Applications, , Ellis Horwood, New York;
Calladine, C.R., Buckminster Fuller's "tensegrity" structures and Clerk Maxwell's rules for the construction of stiff frames (1978) Int. J. Solids and Structures, 14, pp. 161-172;
Hanaor, A., Liao, M.K., Double-layer tensegrity grids: Static load response, I-analytical study (1991) J. Structural Engineering, 117 (6), pp. 1660-1674., ASCE, June;
Hanaor, A., Double-layer tensegrity grids: Static load response, II-experimental study (1991) J. Structural Engineering, 117 (6), pp. 1675-1684., June;
Hanaor, A., Aspects of design of double-layer tensegrity domes (1992) Int. J. Space Structures., 7 (2), pp. 101-113;
Hanaor, A., Geometrically rigid double-layer tensegrity grids (1994) Int. J. Space Structures, 9 (4), pp. 227-238., England;
Hanaor, A., Tensegrity: Theory and application (1997) Beyond the Cube, pp. 385-408., J.F. Gabriel Ed., John Wiley & Sons;
Argyris, J.H., Scharpf, D.W., Large deflection analysis of prestressed networks (1972) J. Structural Division, 106, pp. 633-654., ASCE, st3;
Motro, R., Tensegrity systems and geodesic domes (1990) Int. J. Space Structures, 5 (3-4), pp. 341-351., England;
Wang, B.B., Liu, X.L., General study of tensegrity grids of bar-to-bar connection (1998) Int. J. Space Structures, 13 (1), pp. 31-135., England;
Wang, B.B., Cable-strut systems: II- Cable-strut (1998) J. Constructional Steel Research, 45 (3), pp. 291-299., England;
Pedretti, M., Smart tensegrity structures for the Swiss Expo 2001 (1998) IASS'98 Symposium, 2, pp. 684-691., Sydney;
Wang, B.B., A new type of self-stressed equilibrium cable-strut systems made of reciprocal prisms (1996) Int. J. Space Structures, 11 (4), pp. 351-356., England;
Wang, B.B., Li, Y.Y., RP system - Properties, design and applications J. IASS, , Spain, manuscript;
Wang, B.B., Li, Y.Y., personal communicationHanaor, A., Developments in tensegrity systems: An overview (1993) Proceedings of the Fourth Conference on Space Structures, pp. 987-997., Nooshin H ed., University of Surrey;
Wang, B.B., Novel cable-strut grids made of prisms J. Structural Engineering, , ASCE, manuscript;
Wang, B.B., A type of cable grid structures, application No. 00112025.2, Chinese Patent No. CN1258790A, filed January 14, 2000, Published July 5, 2000CORRESPONDENCE ADDRESS: Wang, B.-B.; Department of Civil Engineering, National University of Singapore, Singapore 117576, Singapore
ISSN: 02663511
CODEN: ISSTE
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Int J Space Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Adriaenssens, S.M.L., Barnes, M.R.
Tensegrity spline beam and grid shell structures
(2001) Engineering Structures, 23 (1), pp. 29-36. Cited 19 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0035216458&partnerID=40&md5=37018a795c6eabb53477754b481dad37
AFFILIATIONS: Department of Architecture and Civil Engineering, University of Bath, Claverton Down, Bath, BA2 7AY, United Kingdom
ABSTRACT: This paper considers a class of tensegrity structures with continuous tubular compression booms forming curved splines, which may be deployed from straight by prestressing a cable bracing system. A free-form arch structure for the support of prestressed membranes is reviewed and the concepts are extended to a two-way spanning system for double layer grid shell structures. A numerical analysis based on the Dynamic Relaxation (DR) method is developed which caters specifically for the form-finding and load analysis of this type of structure; a particular feature of the analysis is that bending components are treated in a finite difference form with three degrees of freedom per node rather than six. This simplifies the treatment of sliding collar nodes which may be used along the continuous compression booms of deployable systems.
INDEX KEYWORDS: Computational geometry; Degrees of freedom (mechanics); Finite difference method; Interpolation; Prestressed beams and girders; Shells (structures), Dynamic relaxation (DR) method; Tensegrity structures, Structural analysis
CORRESPONDENCE ADDRESS: Adriaenssens, S.M.L.; Univ of Bath, Bath, United Kingdom
PUBLISHER: Elsevier Science Ltd, Exeter, United Kingdom
ISSN: 01410296
CODEN: ENSTD
DOI: 10.1016/S0141-0296(00)00019-5
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Eng Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Vassart, N., Motro, R.
Multiparametered formf indîng method: Application totensegrity systems
(1999) International Journal of Space Structures, 14 (2), pp. 147-154. Cited 53 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0033353272&partnerID=40&md5=57e8f745e0a635452d70526d24989364
AFFILIATIONS: Laboratoire de Mécanique et Génie Civil, Université Montpellier II, Montpellier, France
ABSTRACT: A method allowing a multiparametered formfinding for prestressed and selfstressed reticulated systems with tensile and.compressive members is presented. Known methods, based on geometric analysis and dynamic (dynamic relaxation) considerations have been developed for these systems but they allow generally the evolution of only one parameter. But, in case of shape finding of non-regular new forms or when the sought-after form is subject to a set of geometrical constraints, it becomes obligatory to elaborate a multiparametered form-finding process. The proposed numerical method, which is described in this paper, exploits the force density method, already used for form finding of pure tensile structures. However, equilibrium matrix of pure tensile structures as cable nets systems, admits always an inverse, which might be false when tensile and compressive members coexist in the system. In this paper, different processes allowing to define prestressed (or selfstressed) equilibrium geometry are described. Except for the relational structure which is considered as known at the beginning of the process, two sets of form-finding parameters can be identified for this method : prestress (or selfstress) coefficients of members and coordinates or redundant nodes. The proposed method does not yield a unique geometry but it is very convenient for a multiparametered formfinding, and has produced very interesting results, especially for Tensegrity Systems. Application of this method of multiparametered formfinding to Tensegrity Systems, provides the designer with an efficient way to achieve interesting new selfstressed geometries, such as the generation of double-layer grids by agglomeration of Tensegrity modules.
INDEX KEYWORDS: Compressive stress; Prestressed materials; Relaxation processes; Tensile stress, Multiparametered formfinding method; Tensegrity systems, Structural analysis
REFERENCES: Sheck, H.J., The Force Density Method for Formfinding and Computation of Networks. Computer Methods in Applied Mechanics and Engineering 3, , 1974, pp 115-134;
Pauli, N., Recherche de Forme et Analyse Statique Orthotrope de Membranes Textiles Architecturales. Thèse de Doctorat, Université des Sciences et Techniques du Languedoc, , 1994, Montpellier;
Vassart, N., Recherche de Forme et Stabilité des Systèmes Réticulés Autocontraints. Thèse de Doctorat, Université des Sciences et Techniques du Languedoc, , 1997, Montpellier;
Motro, R., Formes et Forces dans les Systèmes Constructifs - Cas des Systèmes Réticulés Spatiaux Autocontraints. Thèse D'Etat, Université des Sciences et Techniques du Languedoc, , 1983, Montpellier
CORRESPONDENCE ADDRESS: Vassart, N.; Laboratoire de Mécanique et Génie Civil, Université Montpellier II, Montpellier, France
ISSN: 02663511
CODEN: ISSTE
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Int J Space Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Gáspár, Z., Radics, N., Recski, A.
Square grids with long "diagonals"
(1999) Optimization Methods and Software, 10 (2), pp. 217-231. Cited 4 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0343324193&partnerID=40&md5=6ae5b97ada4ce04def8cbf37f06556a0
AFFILIATIONS: Dept. of Comp. Sci. and Info. Theory, Fac. of Elec. Eng. and Informatics, Technical University of Budapest, H-1521 Budapest, Hungary
ABSTRACT: Bolker and Crapo gave a graph theoretical model of square grid frameworks with diagonal rods of certain squares. Baglivo and Graver solved the problem of tensegrity frameworks where diagonal cables may be used in the square grid to make it rigid. The problem of one-story buildings in both cases can be reduced to the planar problems. These results are generalized if some longer rods, respectively some longer cables are also permitted.
AUTHOR KEYWORDS: Frameworks; Graphs; Grids; Polyhedral methods; Rigidity
REFERENCES: Bolker, E.D., Crapo, H., Bracing rectangular frameworks, I (1979) SIAM J. Appl. Math., 36, pp. 473-490;
Baglivo, J.A., Graver, J.E., (1983) Incidence and Symmetry in Design and Architecture, , Cambridge University Press, Cambridge;
Crapo, H., More on the bracing of one-story buildings (1977) Environment and Planning B, 4, pp. 153-156;
Chakravarty, N., Holman, G., McGuinness, S., Recski, A., One-story buildings as tensegrity frameworks (1986) Structural Topology, 12, pp. 11-18;
Recski, A., (1989) Matroid Theory and Its Applications in Electric Network Theory and in Statics, , Springer, Berlin - Heidelberg - New York, Akadémiai Kiadó, Budapest
CORRESPONDENCE ADDRESS: Radics, N.; Dept. of Comp. Sci. and Info. Theory, Fac. of Elec. Eng. and Informatics, Technical University of Budapest, H-1521 Budapest, Hungary; email: radnor@math.bme.hu
ISSN: 10556788
CODEN: OMSOE
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Optim Method Software
DOCUMENT TYPE: Article
SOURCE: Scopus
Kono, Y., Choong, K.K., Shimada, T., Kunieda, H.
Experimental investigation of a type of double-layer tensegrity grids
(1999) Journal of the International Association for Shell and Spatial Structures, 40 (130), pp. 103-111. Cited 6 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0032590929&partnerID=40&md5=6d9721fc735f5874b13d012de3ca890a
ABSTRACT: A 9m span (80m2 covered area) double-layer tensegrity grid with a newly proposed member joint system has been constructed for testing. The present paper describes the joint system, construction, and static and dynamic testing of the grid. The experiment showed that the proposed grid is easy to construct and possesses the anticipated stiffness.
INDEX KEYWORDS: Cables; Mechanical testing; Stiffness; Structural design; Structural loads; Structural members, Double layer tensegrity grids; Member joint system, Structures (built objects)
REFERENCES: Motro, R., Tensegrity systems: The state of the art (1992) Int. J. Space Structures, 7 (2), pp. 75-83;
Hanaor, A., Developments in tensegrity systems: An overview (1993) Space Structures, 4, pp. 987-997., Thomas Telford;
Kono, Y., Kunieda, H., Tensegrity grids transformed from double-layer space grids (1996) Proc. Conceptual Design of Struct., pp. 293-300., IASS, Stuttgart;
Kono, Y., Kunieda, H., A class of double-layer tensegrity grid domes (1997) Proc. IASS Symp., pp. 455-463., Singapore
CORRESPONDENCE ADDRESS: Kono, Y.; Taiyo Kogyo CorpJapan
PUBLISHER: IASS, Madrid, Spain
ISSN: 03043622
CODEN: JIASF
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: J Int Assoc Shell Spatial Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Wang, B.-B.
Simplexes in tensegrity systems
(1999) Journal of the International Association for Shell and Spatial Structures, 40 (129), pp. 57-64. Cited 2 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0032649205&partnerID=40&md5=a2f534044b7d99591c91646bc1cba268
AFFILIATIONS: Tover Ctr. Space Struct. Technol. D., Xu Zhou Tover Group Co., Xu Zhou 221007, China
ABSTRACT: Tensegrity systems are self-stressed equilibrium pin-jointed cable networks in which a continuous of cables (tensions) are stressed against a discontinuous system of struts; or rather cable networks composed of tensegrity simplexes. In this paper, the basic concepts of tensegrity are introduced. Tensegrity simplexes mainly contain four types: anti-prisms, ant truncated pyramids, reinforced anti-prisms and reinforced anti-truncated pyramids. The composition of these simplexes is given. Tensegrity simplexes can form tensegrity grids of either contiguous strut configuration or non-contiguous strut configuration, presenting different structural properties. Tensegrity simplexes can be further applied into tensegrity ring beams to form tensegrity cable domes and moreover, they can form tensegrity frameworks in the vertical direction. The application forms of tensegrity simplexes are summarized in a table. Because simplexes determine structural properties, the improvement of structural efficiencies should be based on the reform in simplexes, therefore, the author invents RP (Reciprocal Prism) simplexes and CP (Crystal-cell Pyramid) simplexes, etc. and set up a novel family of self-standing systems-cable-strut systems.
INDEX KEYWORDS: Cables; Stress analysis; Tensile strength, Tensegrity systems, Structural analysis
REFERENCES: Motro, R., Tensegrity systems: The state of art (1982) Int. J. Space Structures, 7 (2), pp. 76-83;
Hanaor, A., Developments in tensegrity systems: An overview (1993) Proc. 4th Conference on Space Structures, pp. 987-997., Nooshin H, ed., Univ. of Surrey;
Emmerich, D.G., Self-tensioning spherical structures: Single and double layer spheroids (1990) Int. J. Space Structures, 5 (3-4), pp. 353-374;
Motro, R., Tensegrity systems and geodesic domes (1990) Int. J. Space Structures, 5 (3-4), pp. 341-351;
Hanaor, A., Liao, M.K., Double-layer tensegrity grids: Static load response: L-analytical study (1991) J. Structural Engineering, ASCE, 117 (6), pp. 1660-1674;
Hanaor, A., Aspects of design of double-layer tensegrity domes (1982) Int. J. Space Structures, 7 (2), pp. 101-113;
Hanaor, A., Double-layer tensegrity grids: Static load response: II- experimental study (1991) J. Structural Engineering, 117 (6), pp. 1675-1884;
Hanaor, A., Geometrically rigid double-layer tensegrity grids (1994) Int. J. Space Structures, 9 (4), pp. 227-238;
Furuya, H., Concept of deployable tensegrity structures in space application (1992) Int. J. Space Structures, 7 (2), pp. 143-152;
Hanaor, A., Double-layer tensegrity grids as deployable structures (1993) Int. J. Space Structures, 8 (1-2), pp. 135-143;
Wang, B.B., Tensegrity structures as "ring beams" (1996) J. IASS, 37 (1), pp. 31-38;
Wang, B.B., Liu, X.L., Integral-tension research in double-layer tensegrity grids (1996) Int. J. Space Structures, 11 (4), pp. 343-349;
Wang, B.B., A new type of self-stressed equilibrium cable-strut systems made of reciprocal prisms (1996) Int. J. Space Structures, 11 (4), pp. 351-358;
Wang, B.B., A novel type of cabledome (1997) J. IASS, 38 (3), pp. 177-182;
Wang, B.B., Liu, X.L., General study of tensegrity grids of bar-to-bar connection (1998) Int. J. Space Structures, 13 (1), pp. 31-36;
Wang, B.B., Linear complementary equation method applied in the load response of cable-strut systems (1998) Int. J. Space Structures, 13 (1), pp. 37-42;
Wang, B.B., Definition and feasibility studies of tensegrity systems (1998) Int. J. Space Structures, 13 (1), pp. 43-49;
Wang, B.B., Cable-strut systems: I., II (1998) J. Constructional Steel Research, 45 (3), pp. 281-299;
Personal communicationCORRESPONDENCE ADDRESS: Wang, Bin-Bing; Xu Zhou Tover Group Co, Xu Zhou, China
PUBLISHER: IASS, Madrid, Spain
ISSN: 03043622
CODEN: JIASF
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: J Int Assoc Shell Spatial Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Wang, B.-B.
Cable-Strut Systems: Part I - Tensegrity
(1998) Journal of Constructional Steel Research, 45 (3), pp. 281-289. Cited 25 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0032010644&partnerID=40&md5=08c6b03fb53f15bc3323d1a716c480c0
AFFILIATIONS: Tover Ctr. Space Struct. Technol. D., Xu Zhou Tover Group Corporation, Xu Zhou 221007, China
ABSTRACT: The concept of cable-strut is extended from that of tensegrity. The broad interpretation of cable-strut systems includes tensegrity systems, RP (Reciprocal Prism) and CP (Crystal-cell Pyramid) system, etc. Its narrow interpretation excludes tensegrity systems. Thus this paper is divided into two parts. Part I gives concept, properties and feasibility studies of tensegrity structures to put forward cable-strut systems. Part II presents the theory and novel concepts concerning the application of cable-strut systems, and concludes that cable-strut systems are revolutionary in space structures. In this part, the essential idea of tensegrity is analyzed and the concept of tensegrity is systematically redefined. Tensegrity grids can be classified into two types of configurations: non-contiguous strut and contiguous strut. Their properties are presented and compared. The properties of the latter are also compared with those of RP grids. The low efficiency of tensegrity grids is analyzed. The feasibility studies, concerning applicable tensegrity forms and their application scale, are also introduced in this paper. © 1998 Elsevier Science Ltd. All rights reserved.
INDEX KEYWORDS: Cables; Space applications; Structural analysis; Tensile properties, Cable strut systems; Space structures; Tensegrity, Steel structures
REFERENCES: Motro, R., Tensegrity systems: The state of the art (1992) International Journal of Space Structures, 7 (2), pp. 75-83;
Hanaor, A., Developments in tensegrity systems: An overview (1993) Proceedings of the 4th Conference on Space Structures, pp. 987-997., ed. H. Nooshin, University of Surrey;
Wang, B.B., Tensegrity structures as 'ring beams' (1996) Journal of IASS, 37 (1), pp. 31-38;
Wang, B.B., (1996) Feasibility Studies of Tensegrity, , Doctoral dissertation, Tian Jin University, in Chinese version;
Wang, B.B., Cable-strut Systems - Revolutions in Space Structures, , prepared for publication;
Hanaor, A., Liao, M.K., Double-layer tensegrity grids: Static load response I - Analytical study (1991) Journal of Structural Engineering ASCE, 117 (6), pp. 1660-1674;
Hanaor, A., Aspects of design of double-layer tensegrity domes (1992) International Journal of Space Structures, 7 (2), pp. 101-113;
Hanaor, A., Double-layer tensegrity grids: Static load response. II - Experimental study (1991) Journal of Structural Engineering, 117 (6), pp. 1675-1684;
Motro, R., Forms and forces in tensegrity systems (1984) Proceedings of the 3rd Conference on Space Structures, pp. 282-288., ed H. Nooshin, University of Surrey;
Motro, R., Najari, S., Jouanna, P., Static and dynamic analysis of tensegrity systems. Shell and spatial structures: Computational aspects (1986) Proceedings of the International Symposium, pp. 270-278., July;
Wang, B.B., Liu, X.L., Integral-tension research in double-layer tensegrity grids (1996) International Journal of Space Structures, 11 (4), pp. 343-349;
Wang, B.B., A new type of self-stressed equilibrium cable-strut system made of reciprocal prisms (1996) International Journal of Space Structures, 11 (4), pp. 351-356;
Wang, B.B., RP system - Conventional application (1996) Proceedings of International Conference on Advances in Steel Structures, pp. 303-308., eds S. L. Chan and J. G. Teng;
Wang, B.B., A novel type of cabledome (1998) Journal of IASS, 38 (3), pp. 177-182;
Furuya, H., Concept of deployable tensegrity structures in space application (1992) International Journal of Space Structures, 7 (2), pp. 143-152;
Hanaor, A., Double-layer tensegrity grids as deployable structures (1993) International Journal of Space Structures, 8 (1-2), pp. 135-143;
Motro, R., Tensegrity systems and geodesic domes (1990) International Journal of Space Structures, 5 (3-4), pp. 341-351;
Hanaor, A., Design, analysis and response of double-layer tensegrity grids. Developments in structural engineering (1990) Proceedings of the Forth Rail Bridge Centenary Conference, 1, pp. 579-590., ed. B. H. V. Topping, Edinburgh
CORRESPONDENCE ADDRESS: Wang, B.-B.; Tover Ctr. Space Struct. Technol. D., Xu Zhou Tover Group Corporation, Xu Zhou 221007, China
ISSN: 0143974X
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: J. Constr. Steel Res.
DOCUMENT TYPE: Article
SOURCE: Scopus
Wang, B.-B.
Cable-Strut Systems: Part II - Cable-Strut
(1998) Journal of Constructional Steel Research, 45 (3), pp. 291-299. Cited 10 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0032010673&partnerID=40&md5=c87afbeaf0b5176f350088135b9bb981
AFFILIATIONS: Tover Ctr. Space Struct. Technol. D., Xu Zhou Tover Group Corporation, Xu Zhou 221007, China
ABSTRACT: In this part, the basic concept of cable-strut systems is introduced. Cable-strut systems, including reciprocal prism (RP) and cell pyramidal (CP) grids invented by the author, as successful attempts to introduce cables into simplexes to form grids, are revolutions in space structures. Their properties are presented in this paper. Cable-strut systems possess self-stressed equilibrium, avoiding reliance on a bulky anchorage system, which is a most important advantage in construction over conventional flexible structures. It has improved greatly the structural properties of tensegrity systems, which also possess self-stressed equilibrium. Its planar form becomes the lightest self-stressed equilibrium space bar systems. The additional advantages over conventional space bar systems are that its joint design can be simplified, and its grid depth and grid length can be adjusted easily to sustain large bar forces and to lower bar forces further. Moreover, its stiffness can be increased by introducing bars to replace connecting cables to form double-layer and triple-layer forms. Superspan domical and cylindrical forms of RP system have also proved to be feasible and economical. The advantage of cable-strut systems in architecture is that the systems are clear in sense of sight, which makes them very attractive. © 1998 Elsevier Science Ltd. All rights reserved.
INDEX KEYWORDS: Cables; Space applications; Stiffness; Stresses; Structural design; Tensile properties, Cable strut systems; Space bar systems; Space structures; Tensegrity, Steel structures
REFERENCES: Wang, B.B., (1996) Feasibility Studies of Tensegrity, , Doctoral dissertation, Tian Jin University, in Chinese;
Wang, B.B., Cable-strut Systems - Revolutions in Space Structures, , prepared for publication;
Wang, B.B., Tensegrity structures as 'ring beam' (1996) Journal of IASS, 37 (1), pp. 31-38;
Wang, B.B., A new type of self-stressed equilibrium cable-strut system made of reciprocal prisms (1996) International Journal of Space Structures, 11 (4), pp. 351-356;
Wang, B.B., RP system-conventional application (1996) Proceedings of the International Conference on Advances in Steel Structures, pp. 303-308., ed. S. L. Chan and J. G. Teng;
Wang, B.B., A novel type of cabledome (1998) Journal of IASS, 38 (3), pp. 177-182
CORRESPONDENCE ADDRESS: Wang, B.-B.; Tover Ctr. Space Struct. Technol. D., Xu Zhou Tover Group Corporation, Xu Zhou 221007, China
ISSN: 0143974X
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: J. Constr. Steel Res.
DOCUMENT TYPE: Article
SOURCE: Scopus
Wang, B.-B., Liu, X.-L.
General study of tensegrity grids of bar-to-bar connection
(1998) International Journal of Space Structures, 13 (1), pp. 29-33. Cited 4 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0031639525&partnerID=40&md5=07251ca057d3896164af93ada31baa20
AFFILIATIONS: Tian Jin Univ, Tian Jin, China
ABSTRACT: Tensegrity (TG) grids of bar-to-bar connection are studied in a general way in this paper. Their configurations can be classified into two types: one of TG prisms (anti-prisms), the other of TG truncated-pyramids (anti-truncated-pyramids). The present study shows distinct advantages for the latter type, and its structural properties are studied intensively. The results show that TG grids of bar-to-bar connection are not suitable for conventional usage and integral cable-tension is not applicable. New types of cable-strut systems may be more appropriate. The paper also points out that a low proportion of the number of struts to that of cables is not necessarily advantageous for structural efficiency. Moreover, the drawbacks of the present Newton iteration method are analyzed.
INDEX KEYWORDS: Iterative methods; Structural analysis; Tensile strength, Bar-to-bar connections; Newton iteration method; Tensegrity grids, Joints (structural components)
CORRESPONDENCE ADDRESS: Wang, B.-B.; Tian Jin Univ, Tian Jin, China
PUBLISHER: Multi-Science Publishing Co, Ltd, Brentwood, United Kingdom
ISSN: 02663511
CODEN: ISSTE
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Int J Space Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Terry, Wesley R., Storm, Gary A., Houghton, Karen M., Hofmeister, W.Steven
Buiding tension in Buffalo
(1997) Civil Engineering, 67 (5), 3 p.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0031139208&partnerID=40&md5=952aae4063f529f7f0977ad746b21db3
AFFILIATIONS: Birdair, Inc, Amherst, United States
ABSTRACT: The National Hockey League's Buffalo Sabres have a new home, topped with an unusual tension-braced domed roof. An ingenious combination of dome designs, the Marine Midland arena's roof combines the lightweight, clear-span advantage of a tensegrity cable dome with the clean and simple load path of a single-layer braced dome. The rigging grid can handle 120 kips of concentrated loads placed in a multitude of configurations to accommodate concerts, circuses and other events. The design evolution, design testing and construction of the structure is discussed.
INDEX KEYWORDS: Buckling; Compressive strength; Computer aided design; Domes; Flanges; Gymnasiums; Light weight structures; Structural design; Structural frames; Structural loads; Tensile strength; Trusses, Circumferential rings; Compression hubs; Tensegrity cable domes, Cable suspended roofs
CORRESPONDENCE ADDRESS: Terry, Wesley R.; Birdair, Inc, Amherst, United States
PUBLISHER: ASCE, New York, NY, United States
ISSN: 08857024
CODEN: CIEGA
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Civ Eng (New York)
DOCUMENT TYPE: Article
SOURCE: Scopus
Wang, B.-B., Liu, X.-L.
Integral-tension research in double-layer tensegrity grids
(1996) International Journal of Space Structures, 11 (4), pp. 349-355. Cited 9 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0030367195&partnerID=40&md5=c992b72c9c85892ef360e3b8d0ea00e8
AFFILIATIONS: Department of Civil Engineering, Tianjin University, Tian Jin 300072, China
ABSTRACT: In this paper, the concept of integral-tensioning continuous cables for prestressing double-layer tensegrity (DLTG) grids is presented and its principles are discussed. A simple approach for analyzing its properties is also recommended. Among three possible integral-tension methods, the optimal is selected. The method avoids the drawbacks of the conventional prestressing methods of bar elongation, simplifies the connections between bars and cables, and produces excellent load-carrying capacity. When large grids are constructed, optimal design can be achieved.
INDEX KEYWORDS: Cables; Continuum mechanics; Optimization; Stress analysis; Structural loads; Struts; Tensile strength, Double layer tensegrity (DLTG) grids; Integral tension methods; Self stressed cable networks, Structural analysis
REFERENCES: Hanaor, A., Design, Analysis and Response of Double-layer Tensegrity Grids, Developments in Structural Engineering (1990) Proc. Forth Rail Bridge Centenary Conference, 1, pp. 579-590., Topping, B.H.V., Ed., Edinburgh, E. & F.N. Spon, Chapman and Hall, London;
Emmerich, D.O., Self-tensioning spherical structures: Single and double layer spheroids (1990) International Journal of Space Structures, 5 (3-4), pp. 353-374;
Motro, R., Tensegrity systems and geodesic domes (1990) International Journal of Space Structures, 5 (3-4), pp. 341-351;
Argyris, J.H., Scharpf, D.W., Large Deflection Analysis of Prestressed Networks (1972) Journal of Structural Division, 106 (ST3), pp. 633-654., ASCE;
Chassagnoux, A., A Study of Morphological Characteristics of Tensegrity Structures (1992) International Journal of Space Structures, 7 (2), pp. 165-172;
Hanaor, A., Aspect of Design of Double-Layer Tensegrity Domes (1992) International Journal of Space Structures, 7 (2), pp. 101-113;
Vilnay, O., Characteristics of Cable Nets (1987) Journal of Structural Engineering, 113 (7), pp. 1586-1699., ASCE;
Pellegrino, S., Calladine, C.R., Matrix Analysis of Statically and Kinematically Indeterminate Frameworks (1986) International Journal of Solids and Structures, 22, pp. 409-428;
Hanaor, A., Double-layer Tensegrity Grids: Static Load Response (1991) Journal of Structural Engineering, 117 (6), pp. 1660-1674., ASCE;
Calladine, C.R., Buckminster Fuller's "Tensegrity" structures and Clerk Maxwell's Rules for the Construction of Stiff Frames (1978) International Journal of Solids and Structures, 14, pp. 161-172
CORRESPONDENCE ADDRESS: Wang, B.-B.; Department of Civil Engineering, Tianjin University, Tian Jin 300072, China
ISSN: 02663511
CODEN: ISSTE
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Int J Space Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Wang, B.-B.
A new type of self-stressed equilibrium cable-strut system made of reciprocal prisms
(1996) International Journal of Space Structures, 11 (4), pp. 357-362. Cited 8 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0030356246&partnerID=40&md5=61bbe944e6832c23611e0e08a129c475
AFFILIATIONS: Department of Civil Engineering, Tianjin University, Tian Jin 300072, China
ABSTRACT: In this paper, self-stressed equilibrium reciprocal prisms (RPs) made of cables and struts are introduced in space structures. In the resulting RP grid, the selections of its chief parameters such as the height of the upper part of a simplex relative to its bottom, and the latter relative to the length of a horizontal strut, are studied for the square RP. The RP structure does not need a boundary anchorage system, overcoming the main drawback of cable domes, and is very convenient for prestressing. Moreover, it is considerably stiffer and lighter than tensegrity structures. The concept of RP system is sufficient for rigid coverings, and can serve excellently as the supporting system of membrane roofs.
INDEX KEYWORDS: Cables; Stiffness; Stress analysis; Struts, Reciprocal prisms; Self stressed equilibrium cable strut systems, Structural design
REFERENCES: Motro, R., Tensegrity systems and geodesic domes (1990) International Journal of Space Structures, 5 (3-4), pp. 341-351;
Hanaor, A., Design, Analysis and Response of Double-layer Tensegrity Grids, Developments in Structural Engineering (1990) Proc. Forth Rail Bridge Centenary Conference, 1, pp. 579-590., Topping, B.H.V., Ed., Edinburgh, E. & F.N. Spon, Chapman and Hall, London;
Argyris, J.H., Scharpf, D.W., Large Deflection Analysis of Prestressed Networks (1972) Journal of Structural Division, 106 (ST3), pp. 633-654., ASCE
CORRESPONDENCE ADDRESS: Wang, B.-B.; Department of Civil Engineering, Tianjin University, Tian Jin 300072, China
ISSN: 02663511
CODEN: ISSTE
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Int J Space Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Hanaor, A.
Double-layer tensegrity grids as deployable structures
(1993) International Journal of Space Structures, 8 (1-2), pp. 135-143. Cited 22 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0027796711&partnerID=40&md5=f3ba4b13abe577e1c6aebdbbd33e77c9
AFFILIATIONS: Technion - Israel Inst of Technology, Haifa, Israel
ABSTRACT: Tensegrity grids are internally prestressed cable networks, in which the cables are prestressed against a disjointed system of bars. These structures are inherently collapsible and deployable in the nonprestressed state. In double-layer tensegrity grids, the bars are relatively short, producing a compact packing in the collapsed state. In the deployed prestressed state, geometrically rigid as well as geometrically flexible configurations are feasible. Flat or curved surfaces can be generated. Deployability and prestress are achieved through the extension of bars, shortening of cables or a combination of both techniques. A description of the system and some analytical results and deployable models are presented.
INDEX KEYWORDS: Cables; Joints (structural components); Mathematical models; Prestressing; Stress analysis; Structural design, Deployable structures; Double layer tensegrity grids; Internally prestressed cable networks, Flexible structures
CORRESPONDENCE ADDRESS: Hanaor, A.; Technion - Israel Inst of Technology, Haifa, Israel
ISSN: 02663511
CODEN: ISSTE
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: Int J Space Struct
DOCUMENT TYPE: Article
SOURCE: Scopus
Hanaor, Ariel, Liao, Min-Kuei
Double-layer tensegrity grids: static load response. I: analytical study
(1991) Journal of structural engineering New York, N.Y., 117 (6), pp. 1660-1674. Cited 17 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0026173330&partnerID=40&md5=eebd4a64a9339d9d1d963d8cc2c351ca
AFFILIATIONS: Technion-Israel Inst of Tech., Haifa, Israel
ABSTRACT: Tensegrity structures are freestanding prestressed cable networks in which the cables are prestressed against a discontinuous system of bars. In double-layer tensegrity grids (DLTGs), the bars are confined between two parallel layers of cables. This paper presents the analytical part of an investigation of a type of DLTG. A first-order linear analytical model indicates that these structures possess low stiffness and low bar force efficiency. Under full prestress, determined by the condition that no cable is slack under the applied load, the model predicts deflections of approximately 1/20 of the span, and 20% of bar load-bearing capacity is available for the applied load, the rest being required by prestress. Members forces and deflections are strongly affected by the span, structural depth and level of prestress. Enhancement techniques are discussed.
INDEX KEYWORDS: Bars; Mathematical Models; Structural Design - Prestressing; Wire Rope, Cable-Bar Networks; Prestressed Cables; Static Loads; Tensegrity Grids, Structural Analysis
CORRESPONDENCE ADDRESS: Hanaor, Ariel; Technion-Israel Inst of Tech., Haifa, Israel
ISSN: 07339445
CODEN: JSEND
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: J Struct Eng
DOCUMENT TYPE: Article
SOURCE: Scopus
Hanaor, Ariel
Double-layer tensegrity grids: static load response. II: experimental study
(1991) Journal of structural engineering New York, N.Y., 117 (6), pp. 1675-1684. Cited 10 times.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0026173181&partnerID=40&md5=caa4ed9cfd1dba4f764b0d166ec92bc2
AFFILIATIONS: Technion-Israel Inst of Tech., Haifa, Israel
ABSTRACT: Tensegrity structures are freestanding prestressed cable networks in which the cables are prestressed against a discontinuous system of bars. In double-layer tensegrity girds (DLTGs), the bars are confined between two parallel layers of cables. This is the second paper in a two-part analytical and experimental study of a type of DLTG. The first part, presenting results of a first-order linear analytical model, indicates that these structures possess low stiffness and low bar force efficiency. The experimental investigation of a small-scale model indicates that actual response is significantly nonlinear and that both stiffness and bar force efficiency are higher than indicated by the linear model. Member forces due to the applied load are generally higher than the linear model indicates. A nonlinear analytical model is generally in good agreement with the results. The concept, consisting of independent prismatic units, possesses a high degree of structural redundancy. Load-bearing capacity is practically unaffected by the loss of a member.
INDEX KEYWORDS: Bars; Models - Testing; Structural Design - Prestressing; Wire Rope, Cable-Bar Networks; Experimental Results; Prestressed Cables; Static Loads; Tensegrity Grids, Structural Analysis
CORRESPONDENCE ADDRESS: Hanaor, Ariel; Technion-Israel Inst of Tech., Haifa, Israel
ISSN: 07339445
CODEN: JSEND
LANGUAGE OF ORIGINAL DOCUMENT: English
ABBREVIATED SOURCE TITLE: J Struct Eng
DOCUMENT TYPE: Article
SOURCE: Scopus