Review of form-finding methods for tensegrity structures

International Journal of Space Structures

Volumn 18, Issue 4, 2003, Pages 209-223

  Tibert, A G ^a   Pellegrino, S ^b  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

AIRFRAMES; INTELLIGENT STRUCTURES; ITERATIVE METHODS; KINEMATICS; LINEAR EQUATIONS; MATRIX ALGEBRA; NONLINEAR PROGRAMMING; SPACECRAFT;

ANALYTICAL METHOD; FORCE DENSITY; FORM FINDING METHODS; NONLINEAR OPTIMIZATION; STATICAL METHOD; TENSEGRITY STRUCTURES;

AEROSPACE ENGINEERING;

EID: 1842680930     PISSN: 09560599     EISSN: 20598033     Source Type: Journal    
DOI: 10.1260/026635103322987940     Document Type: Article

References (36)

1. Motro, R., Foldable Tensegrities, in: S. Pellegrino, ed. Deployable Structures, Springer Verlag Wien-New York, 2001.
2. Skelton, R.E., Deployable tendon-controlled structure, United States Patent 5,642,590, July 1, 1997.
3. Caspar, D.L.D., and Klug, A., Physical principles in the construction of regular viruses, Proceedings of Cold Spring Harbor Symposium on Quantitative Biology, 1962, 27, 1-24.
4. Ingber, D.E., Cellular tensegrity: defining new rules of biological design that govern the cytoskeleton, Journal of Cell Science, 104, 1993, 613-627.
5. Marks, R. and Fuller, R.B., The Dymaxion World of Buckminster Fuller, Reinhold Publications, New York, 1960.
6. Fuller, R.B., Tensity-integrity structures, United States Patent 3, 063,521, November 13, 1962.
7. Snelson, K.D., Continuous tension, discontinuous compression structures, United States Patent 3,169,611, February, 16, 1965.
8. Pugh, A., An Introduction to Tensegrity, University of California Press, Berkeley, California, 1976.
9. Motro, R., Tensegrity systems: the state of the art, International Journal of Space Structures, 7 (2), 1992, 75-83.
10. Connelly, R. and Terrell, M., Globally rigid symmetric tensegrities, Structural Topology, 21, 1995, 59-78.
11. Vassart, N. and Motro, R., Multiparametred form finding method: application to tensegrity systems, International Journal of Space Structures, 14 (2), 1999, 147-154.
12. Sultan, C., Corless, M., and Skelton, R.E., Reduced prestressability conditions for tensegrity structures, Proceedings of 40th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, 12-15 April 1999, St Louis, MO, AIAA, 1999.
13. Pellegrino, S., Mechanics of kinematically indeterminate structures, Ph.D. dissertation, University of Cambridge, U.K., 1986.
14. MathWorks, Matlab User's Guide, version 5, 1997.
15. Day, A. and Bunce, J., The analysis of hanging roofs, Arup Journal, September, 1969, 30-31.
16. Barnes, M.R., Form-finding and analysis of prestressed nets and membranes, Computers & Structures, 30 (3), 1988, 685-695.
17. Motro, R., Forms and forces in tensegrity systems, in: H. Nooshin, ed., Proceedings of Third International Conference on Space Structures, Elsevier, Amsterdam, 1984, 180-185.
18. Belkacem, S., Recherche de forme par relaxation dynamique des structures reticules spatiales autoconstraintes, Ph.D. Dissertation, Universite Paul Sabatier de Toulouse, 1987.
19. Motro, R., Tensegrity systems and geodesic domes, International Journal of Space Structures, 5 (3-4), 1990, 341-351.
20. Motro, R., Belkacem, S., and Vassart, N., Form finding numerical methods for tensegrity systems, in: J.F. Abel, J.W. Leonard, and C.U. Penalba, ed., Proceedings of IASS-ASCE Internatinal Symposiumm on Spatial, Lattice and Tension Structures, Atlanta, USA, ASCE, 1994 707-713.
21. Kenner, H., Geodesic Math and How to Use It, University of California Press, Berkeley, California, 1976.
22. Linkwitz, K., and Schek, H.-J., Einige Bemerkungen zur Berechung von vorgespannten Seilnetzkonstruktionen, Ingenieur Archiv, 1971, 145-1458.
23. Schek, H.-J., The force density method for form finding and computation of general networks, Computer Methods in Applied Mechanics and Engineering, 3, 1974, 115-134.
24. Linkwitz, K., Formfinding by the "direct approach" and pertinent strategies for the conceptual design of prestressed and hanging structures, International Journal of Space Structures, 14 (2), 1999, 73-87.
25. Southwell, R.V., An Introduction to the Theory of Elasticity, Dover Publications, New York, 1969.
26. Barnes, M.R., Applications of dynamic relaxation of the design of cable, membrane and pneumatic structures., in: W. J. Supple ed., Proceedins of Second International Conference on Space Structures, Guildford, 1975.
27. Lai, C.Y., You, Z., and Pellegrino, S., Shape of deployable membrane reflectors, ASCE Journal of Aerospace Engineering, 11 (July), 1998, 73-80.
28. Vassart, N., Recherche de forme et stabilité des systémes réticulés spatiaux autocontraints: Applications aux systeḿmes des tenségrité, Ph.D. Dissertation, Université des Sciences et Techniques du Languedoc, Montpellier, France, 1997.
29. Connelly, R., Rigidity, in: P.M. Gruber and J.M. Wills, ed., Handbook of Convex Geometry, Elsevier Publishers Ltd, 1993, 223-271.
30. Connelly, R., Rigidity and energy, Inventiones Mathematicae, 66 (1), 1982, 11-33.
31. Kötter, E., Über die Möglichkeit, n Punkte in der Ebene oder im Raume durch weniger als 2n - 3 oder 3n - 6 Stäbe von ganz unveränderlicher Länge unverschieblich miteinder zu verbinden, in: Festschrift Heinrich Müller-Breslau, A. Kröner, Leipzig, 1912, 61-80.
32. Connelly, R., Tensegrity structures: why are they stable?, in: M.F. Thorpe and P.M. Duxbury, ed., Rigidity theory and applications, Plenum Press, New York, 1999, p. 47-54.
33. Connelly, R. and Back, A., Mathematics and tensegrity, American Scientist, 86 (2), 1998, 142-151.
34. Sultan, C., Modeling, design, and control of tensegrity structures with applications, Ph.D. Dissertation, Purdue University, 1999.
35. Strang, G., Linear Algebra and its Applications, Third edition, Harcourt Brace Jovanovich College, San Diego, 1988.
36. Pellegrino, S., Structural computations with the Singular Value Decomposition of the equilibrium matrix, International Journal of Solids and Structures, 30 (21), 1993, 3025-3035.