A direct approach to design of geometry and forces of tensegrity systems

International Journal of Solids and Structures

Volumn 43, Issue 7-8, 2006, Pages 2260-2278

  Zhang, J Y ^a   Ohsaki, M ^a   Kanno, Y ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

Form finding; Geometrical constraints; Self equilibrium; Shape design; Tensegrity

Indexed keywords

ARCHITECTURE; LINEAR ALGEBRA; STRUCTURAL DESIGN;

FORM-FINDING; SELF-EQUILIBRIUM; SHAPE DESIGN; TENSEGRITY;

GEOMETRY;

EID: 32344446556     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2005.04.044     Document Type: Article

References (20)

1. M.R. Barnes Form finding and analysis of tension structures by dynamic relaxation Int. J. Space Struct. 14 2 1999 89 104
2. G.J. Borse Numerical Methods with MATLAB 1997 International Thomson Publishing Inc.
3. R.B. Fuller Synergetics, Explorations in the Geometry of Thinking 1975 Collier Macmillan London, UK
4. R.B. Haber, and J.F. Abel Initial equilibrium solution methods for cable reinforced membranes part I-formulations Comput. Meth. Appl. Mech. Engng. 30 1982 263 284
5. A. Hanaor Prestressed pin-jointed structures-flexibility analysis and prestress design Comput. Struct. 28 6 1988 757 769
6. F. Harary Graph Theory 1969 Addison-Wesley Reading, MA
7. B.D. Jager, and R.E. Skelton Symbolic stiffness optimization of planar tensegrity structures J. Intell. Mater. Syst. Struct. 15 2004 181 193
8. A. Kaveh Structural Mechanics: Graph and Matrix Methods third ed. 2004 Research Studies Press Somerset, UK
9. R. Motro Forms and forces in tensegrity systems H. Nooshin Proceedings of the 3rd International Conference on Space Structure 1984 Elsevier Amsterdam, The Netherlands 180 185
10. R. Motro Structural morphology of tensegrity systems Int. J. Space Struct. 11 1&2 1996 233 240
11. R. Motro, S. Najari, and P. Jouanna Static and dynamic analysis of tensegrity systems Proceedings of the International Symposium on Shell and Spatial Structures: Computational Aspects 1986 Springer NY 270 279
12. H. Murakami Static and dynamic analysis of tensegrity structures. Part 1. Nonlinear equations of motion Int. J. Solids Struct. 38 2001 3599 3613
13. Ohsaki, M., Kanno, Y., 2003. Form-finding of cable domes with specified stresses by using nonlinear programming. In: Proceedings of IASS-APCS 2003, Taipei, Taiwan, 2003.
14. S. Pellegrino Analysis of prestressed mechanisms Int. J. Solids Struct. 26 12 1990 1329 1350
15. S. Pellegrino, and C.R. Calladine Matrix analysis of statically and kinematically undetermined frameworks Int. J. Solids Struct. 22 4 1986 409 428
16. H.J. Schek The force density method for form finding and computation of general networks Comput. Meth. Appl. Mech. Engng. 3 1974 115 134
17. C. Sultan, M. Corless, and R.E. Skelton The prestressability problem of tensegrity structures: some analytical solutions Int. J. Solids Struct. 38 2001 5223 5252
18. G. Tibert, and S. Pellegrino Review of form-finding methods for tensegrity structures Int. J. Space Struct. 18 4 2003 209 223
19. N. Vassart, and R. Motro Multiparametered formfinding method: application to tensegrity systems Int. J. Space Struct. 14 2 1999 147 154
20. D. Williamson, and R.E. Skelton Equilibrium conditions of a tensegrity structure Int. J. Solids Struct. 40 2003 6347 6367