Browse > Article
http://dx.doi.org/10.5659/AIKAR.2012.14.4.143

A Form-finding of Planar Tensegrity Structures  

Lee, Sang Jin (ADOPT Research Group, Department of Architectural Engineering, Gyeongsang National University)
Publication Information
Architectural research / v.14, no.4, 2012 , pp. 143-152 More about this Journal
Abstract
A form-finding procedure is presented for planar tensegrity structures. Notably, a simple decision criteria is proposed to select the desirable candidate position vector from the unitary matrix produced by the eigenvalue decomposition of force density matrix. The soundness of the candidate position vector guarantees faster convergence and produces a desirable form of tensegrity without any member having zero-length. Several numerical examples are provided to demonstrate the capability of the proposed form-finding process.
Keywords
Tensegrity Structure; Form-finding; Decomposition; Decision Criteria; Self-equilibrium;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Connelly, R. (1982) Rigidity and energy. Inventiones Mathematicae, 66, 11-33.   DOI
2 Connelly, R. and Back, A. (1998) Mathematics and tensegrity. American Scientist, 86, 142-151.   DOI   ScienceOn
3 Connelly, R. (1999) Tensegrity structures: Why are they stable? in Rigidity Theory and Applications. Kluwer Academic/Plenum Publishers, 47-54.
4 Estrada, G.G., Bungartz, H.-J. and Mohrdieck, C. (2006) Numerical form-finding of tensegrity structures. International Journal of Solid and Structures, 43, 209-223.
5 Hernández Juan, S and Mirats Tur, J. M. (2008) Tensegrity frameworks: static analysis review. Mechanism and Machine Theory, 43(7), 859-881.   DOI   ScienceOn
6 Mitsos, I.S., Guest, S.D., Nhamoinesu, S. and Overend, M. (2012) Investigation of a double-layer tensegrity glazing system. In Proceedings of the IASS Annual Symposium - IASS-APCS 2012.
7 Motro, R. (2003) Tensegrity: structural systems for the future. Kogan Page Science, London.
8 Pellegrino, S. (1993) Structural computations with the singular value decomposition of the equilibrium matrix. International Journal of Solid and Structures, 21, 3025-3035.
9 Schek, H.J. (1974) The force density method for form finding and computation of general networks. Journal of Computer Methods in Applied Mechanics and Engineering, 3, 115-134   DOI   ScienceOn
10 Schenk, M. (2005) Statically balanced tensegrity Mechnisms: a literature review. Technical Report, TU Delft.
11 Tibert, A.G. and Pellegrino, S. (2003) Review of form-finding methods for tensegrity structures. International Journal of Space Structures. 18, 209-223.   DOI   ScienceOn