Stability conditions of prestressed pin-jointed structures

International Journal of Non-Linear Mechanics

Volumn 41, Issue 10, 2006, Pages 1109-1117

  Ohsaki, Makoto ^a   Zhang, Jingyao ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

Eigenvalue analysis; Pin jointed structure; Prestress stability; Prestressed structure; Stability; Super stability

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; JOINTS (STRUCTURAL COMPONENTS); LINEAR STABILITY ANALYSIS; PRESTRESSED MATERIALS; STIFFNESS MATRIX;

GEOMETRICAL STIFFNESS MATRICES; PIN JOINTED STRUCTURES; PRESTRESS-STABILITY; PRESTRESSED STRUCTURES; SUPER STABILITY;

TRUSSES;

EID: 33947172052     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2006.10.009     Document Type: Article

References (17)

1. Thompson J.M.T. A general theory for the equilibrium and stability of discrete conservative systems. ZAMP 20 (1969) 797-846
2. Volokh K.Y., and Vilnay O. Why pre-tensioning stiffens cable systems. Int. J. Solids Struct. 37 (2000) 1809-1816
3. Connelly R. Tensegrity structures: why are they stable?. In: Thorpe M.F., and Duxbury P.M. (Eds). Rigidity Theory and Applications (1999), Kluwer Academic Publishers, Plenum Publishers, Dordrecht, New York 47-54
4. Calladine C.R., and Pellegrino S. First-order infinitesimal mechanisms. Int. J. Solids Struct. 27 (1991) 505-515
5. Kaveh A. Structural Mechanics: Graph and Matrix Methods (2004), Research Studies Press, Somerset, UK
6. Zhang J.Y., and Ohsaki M. Adaptive force density method for form-finding problem of tensegrity structures. Int. J. Solids Struct. 43 (2006) 5658-5673
7. Guest S.D. The stiffness of prestressed frameworks: a unifying approach. Int. J. Solids Struct. 43 (2006) 842-854
8. Masic M., Skelton R.E., and Gill P.E. Algebraic tensegrity form-finding. Int. J. Solids Struct. 42 (2005) 4833-4858
9. Pellegrino S., and Calladine C.R. Matrix analysis of statically and kinematically indetermined frameworks. Int. J. Solids Struct. 22 (1986) 409-428
10. Calladine C.R. Buckminster Fuller's 'Tensegrity' structures and Clerk Maxwell's rules for the construction of stiff frames. Int. J. Solids Struct. 14 (1978) 161-172
11. Livesley R.K. Matrix Methods of Structural Analysis (1975), Pergamon Press, Oxford
12. Kanno Y., and Ohsaki M. Minimum principle of complementary energy of cable networks by using second-order cone programming. Int. J. Solids Struct. 40 17 (2003) 4437-4460
13. Schek H.-J. The force density method for form finding and computation of general networks. Comput. Methods Appl. Mech. Eng. 3 (1974) 115-134
14. Maurin B., and Motro R. The surface stress density method as a form-finding tool for tensile membranes. Eng. Struct. 20 (1998) 712-719
15. Fuller R.B. Synergetics, Explorations in the Geometry of Thinking (1975), Collier Macmillan, London, UK
16. Pellegrino S. Analysis of prestressed mechanisms. Int. J. Solids Struct. 26 (1990) 1329-1350
17. Tibert A.G., and Pellegrino S. Review of form-finding methods for tensegrity structures. Int. J. Space Struct. 18 (2003) 209-223