Computation of kinematic paths and bifurcation points

International Journal of Solids and Structures

Volumn 37, Issue 46, 2000, Pages 7003-7027

  Kumar, P ^a   Pellegrino, S ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; KINEMATICS; MATHEMATICAL MODELS;

DEPLOYABLE STRUCTURES;

STRUCTURAL ANALYSIS;

EID: 0034325457     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(99)00327-3     Document Type: Article

References (23)

1. T. Becker V. Weispfenning Gröbner Bases: A Computational Approach to Commutative Algebra 1993 Springer New York
2. Besseling, J.F., 1979. Finite element methods. In: Besseling J.F., van der Heijden, A.M.A. (Eds.), Trends in Solid Mechanics 1979. Delft University Press, Delft
3. J.F. Besseling L.J. Ernst K. Van der Werff A.U. de Koning E. Riks Geometrical and physical non-linearities. Some developments in the Netherlands Computer Methods in Applied Mechanics and Engineering 17/18 1979 131 157
4. B. Buchberger Gröbner bases: an algorithmic method in polynomial ideal theory N.K. Bose Multidimensional Systems Theory: Papers, Directions and Open Problems in Multidimensional Systems 1985 Reidel Dordrecht
5. C.R. Calladine S. Pellegrino First-order infinitesimal mechanisms International Journal of Solids and Structures 27 1991 505 515
6. Cambridge Consultants, 1989. Design Study for a Mars Sailcraft, Q7844/JPA/Issue 1, Cambridge Consultants Ltd
7. G.H. Golub C.F. van Loan Matrix Computations 1983 North Oxford Academic Publishing Oxford
8. Guest, S.D., Pellegrino. S., 1992. Inextensional wrapping of flat membranes. In: Motro, R., Wester, T. (Eds.), Proceedings of The First International Seminar on Structural Morphology, LMGC, Universite Montpellier II, Montpellier, pp. 203–215
9. K.H. Hunt Kinematic Geometry of Mechanisms 1978 Clarendon Press Oxford
10. R.D. Jenks R.S. Sutor AXIOM The Scientific Computation System. The Numerical Algorithms Group 1992 Springer New York
11. E.N. Kuznetsov Underconstrained Structural Systems 1991 Springer New York
12. Kumar, P., 1996. Kinematic Bifurcations and Deployment Simulation of Foldable Space Structures. Ph.D. Thesis, University of Cambridge
13. F.L. Litvin P. Fanghella J. Tan Y. Zhang Singularities in motion and displacement functions of spatial linkages ASME Journal of Mechanisms, Transmissions, and Automation in Design 108 1986 516 523
14. F.L. Litvin J. Tan Singularities in motion and displacement functions for the RCRCR linkage ASME Journal of Mechanisms, Transmissions, and Automation in Design 110 1988 373 377
15. Mathworks, 1997. Matlab Version 5: User's Guide. The Math Works, Natick, MA
16. S. Pellegrino C.R. Calladine Matrix analysis of statically and kinematically indeterminate frameworks International Journal of Solids and Structure 22 1986 409 428
17. S. Pellegrino Structural computations with the SVD of the equilibrium matrix International Journal of Solids and Structure 30 1993 3025 3035
18. J.G. Semple L. Roth Introduction to Algebraic Geometry 1949 Clarendon Press Oxford
19. G. Strang Linear Algebra and its Applications Second Ed 1980 Academic Press New York
20. K. Sugimoto J. Duffy K.H. Hunt Special configurations of spatial mechanisms and robot arms Mechanism and Machine Theory 17 2 1982 119 132
21. T. Tarnai Simultaneous static and kinematic indeterminacy of space trusses with cyclic symmetry International Journal of Solids and Structure 16 1980 347 359
22. T. Tarnai Finite mechanisms and the timber octagon of Ely Cathedral Structural Topology 14 1989 9 20
23. T. Tarnai E. Makai A movable pair of tetrahedra Proceedings of Royal Society London, Part A 423 1989 419 442