Nonlinear analysis of pin-jointed assemblies with buckling and unilateral members

CMES - Computer Modeling in Engineering and Sciences

Volumn 2, Issue 3, 2001, Pages 389-400

  Volokh, K Yu ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Bifurcation; Buckling; Cable; Nonlinear analysis

Indexed keywords

EID: 0001095427     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. Britvec, S.J. (1973): The stability of elastic systems. Pergamon, NY.
2. Buchholdt, N.A. (1985): Introduction to cable roof structures. Cambridge University Press.
3. Coughlin, M.F.; Stamenovich, D. (1997): A tensegrity structure with buckling compression elements: Application to cell mechanics. J Appl Mech 64: 480-486.
4. Crisfield, M.A. (1991,1997): Nonlinear analysis of solids and structures, Vois 1,2. Whiley, Chichester.
5. Fujii, F.; Okazawa, S. (1997): Pinpointing bifurcation points and branch switching. J Eng Mech 123: 179-189.
6. Ingber, D.E. (1993): Cellular tensegrity: defining new rules of biological design that govern the cytosceleton. J Cell Science 104: 613-627.
7. Ingber, D.E. (1998): The architecture of life. Scientific American, Jan: 30-39.
8. Keller, H.B. (1992): Numerical methods for two-point boundary-value problems. Dover, NY.
9. Kondoh, K; Atluri, S.N. (1985): Influence of local buckling on global instability: simplified, large deformation, post-buckling analyses of plane trusses. Comp Struct 21: 613-627.
10. Kouhia, R.; Mikkola, M. (1989): Tracing the equilibrium path beyond simple critical points. Int J Num Meth Eng 28: 2923-2941.
11. Krishna, P. (1978): Cable-suspended roofs. McGraw-Hill, NY.
12. Magnusson, A.; Svensson, I. (1998): Numerical treatment of complete load-deflection curves. Int J Num Meth Eng 41: 955-971.
13. Riks, E. (1998): Buckling analysis of elastic structures: a computational approach. Adv Appl Mech 34: 1-76.
14. nd edn. Springer, NY.
15. Sophianopoulos, D. S.; Michaltsos, G. T. (2001): The Effect of a Rotational Spring on the GLobal Stability Aspects of the Classical von Mises Model under Step Loading, CMES: Computer Modeling in Engineering & Sciences, Vol.2, No.1,pp.15-26
16. Szabo, J.; Kollar, L. (1984): Structural design of cable-suspended roofs. Ellis Horwood, Chichester.
17. Tanaka, T.; Kondoh, K; Atluri, S.N. (1985) Instability analysis of space trusses using exact tangent stiffness method. Finite Elem Anal Design 1: 291-311.
18. nd edn.
19. Volokh, K.Yu. (1999): Nonlinear analysis of underconstrained structures. Int J Solids Struct 36: 2175-2187.
20. Volokh, K.Yu.; Vilnay, O. (2000): Why pre-tensioning stiffens cable systems. Int J Solids Struct 37: 1809-1816.
21. Volokh, K.Yu.; Vilnay, O.; Belsky, M. (2000): Tensegrity architecture explains linear stiffening and predicts softening of living cells. J Biomech 33: 1543-1549.
22. th edn.
23. Wriggers, P. (1995): Solution strategies for nonlinear equations and computation of singular points. In: Kounadis, A.N. and Kratzig, W.B.: Nonlinear stability of structures: theory and computational techniques. Springer, NY.