Numerical form-finding of tensegrity structures

International Journal of Solids and Structures

Volumn 43, Issue 22-23, 2006, Pages 6855-6868

  Estrada, G Gomez ^a   Bungartz, H J ^b   Mohrdieck, C ^c  

^a MAX PLANCK INSTITUTE FOR INTELLIGENT SYSTEMS   (Germany)

^b TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^c UNIVERSITY OF STUTTGART   (Germany)

Author keywords

Expanded octahedron; Form finding; n Plex; Tensegrity; Truncated icosahedron; Truncated tetrahedron

Indexed keywords

COMPUTATIONAL GEOMETRY; ELASTICITY; ITERATIVE METHODS; POTENTIAL ENERGY; STRESS ANALYSIS;

EXPANDED OCTAHEDRON; FORM-FINDING; N-PLEX; TENSEGRITY; TRUNCATED ICOSAHEDRON; TRUNCATED TETRAHEDRON;

ELASTIC MODULI;

EID: 33748956132     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2006.02.012     Document Type: Article

References (28)

1. Calladine C.R. Buckminster Fuller's "tensegrity" structures and Clerk Maxwell's rules for the construction of stiff rames. International Journal of Solids and Structures 14 2 (1978) 161-172
2. Calladine C.R., and Pellegrino S. First-order infinitesimal mechanisms. International Journal of Solids and Structures 27 4 (1991) 505-515
3. Calladine C.R., and Pellegrino S. Further remarks on first-order infinitesimal mechanisms. International Journal of Solids and Structures 29 17 (1992) 2119-2122
4. Connelly R. Rigidity and energy. Inventiones Mathematicae 66 1 (1982) 11-33
5. Connelly R. Rigidity. In: Gruber P.M., and Wills J.M. (Eds). Handbook of Convex Geometry (1993), Elsevier Science Publishers 223-271
6. Connelly R. Tensegrity structures: why are they stable?. In: Thorpe M.F., and Duxbury P.M. (Eds). Rigidity Theory and Applications (1999), Kluwer Academic/Plenum Publishers 47-54
7. Connelly R., and Back A. Mathematics and tensegrity. American Scientist 86 (1998) 142-151
8. Connelly R., and Terrell M. Globally rigid symmetric tensegrities. Topologie Structurale 21 (1995) 59-77
9. Crapo H., and Whiteley W. Statics of frameworks and motions of panel structures, a projective geometric introduction. Topologie Structurale 6 (1982) 43-82
10. Gomez Estrada, G., Bungartz, H.-J., Mohrdieck, C., 2005. On cylindrical tensegrity structures. In: Ramm, E., Wall, W.A., Bletzinger, K.-U., Bischoff, M. (Eds.), Proceedings of the International Conference on Computation of Shell and Spatial Structures, Salzburg.
11. Graver J., Servatius B., and Servatius H. Combinatorial Rigidity (1993), Am. Math. Soc.
12. Guest S. The stiffness of prestressed frameworks: a unifying approach. International Journal of Solids and Structures 43 3/4 (2006) 842-854
13. Havel T. Distance geometry: theory, algorithms and chemical applications. In: von Ragué Schleyer P. (Ed). Encyclopedia of Computational Chemistry (1998), John Wiley & Sons 723-742
14. Luo, H., Bewley, T.R., 2005. Accurate simulation of near-wall turbulence over a compliant tensegrity fabric. In: Proceedings of SPIE: Smart Structures and Materials, vol. 5757(1), pp. 184-197.
15. Meyer C.D. Matrix Analysis and Applied Linear Algebra (2000), SIAM
16. Mohr O. Beitrag zur theorie des fachwerkes. Der Civilingenieur 31 (1885) 289-310
17. Motro R. Tensegrity systems and geodesic domes. International Journal of Space Structures 5 3/4 (1990) 341-351
18. Motro R. Tensegrity: Structural Systems for the Future (2003), Kogan Page Science, London
19. Murakami H. Static and dynamic analyses of tensegrity structures. Part II. Quasi-static analysis. International Journal of Solids and Structures 38 20 (2001) 3615-3629
20. Murakami H., and Nishimura Y. Static and dynamic characterization of regular truncated icosahedral and dodecahedral tensegrity modules. International Journal of Solids and Structures 38 50/51 (2001) 9359-9381
21. Pellegrino, S., 1986. Mechanics of kinematically indeterminate structures. Ph.D. thesis, University of Cambridge, Cambridge, UK.
22. Pellegrino S. Structural computations with the singular value decomposition of the equilibrium matrix. International Journal of Solids and Structures 30 21 (1993) 3025-3035
23. Skelton, R.T., Sultan, C., 1997. Controllable tensegrity: a new class of smart structures. In: Proceedings of SPIE: Smart Structures and Materials, vol. 3039, pp. 166-177.
24. Tarnai T. Duality between plane trusses and grillages. International Journal of Solids and Structures 25 12 (1989) 1395-1409
25. Tibert A.G., and Pellegrino S. Review of form-finding methods for tensegrity structures. International Journal of Space Structures 18 4 (2003) 209-223
26. Volokh K.Yu., and Vilnay O. Why pre-tensioning stiffens cable systems. International Journal of Solids and Structures 37 13 (2000) 1809-1816
27. Whiteley W. Rigidity of molecular structures: generic and geometric analysis. In: Thorpe M.F., and Duxbury P.M. (Eds). Rigidity Theory and Applications (1999), Kluwer Academic/Plenum Publishers 21-46
28. Zanotti G., and Guerra C. Is tensegrity a unifying concept of protein folds?. FEBS Letters 534 3 (2003) 7-10