DOI QR코드

DOI QR Code

Force-finding of Tensegrity Structure using Optimization Technique

  • Lee, Sang Jin (ADOPT Research Group, Department of Architectural Engineering, Gyeongsang National University)
  • Received : 2014.05.26
  • Accepted : 2015.03.04
  • Published : 2015.03.30

Abstract

A simple force-finding process based on an optimization technique is proposed for tensegrity structures. For this purpose, the inverse problem of form-finding process is formulated. Therefore, the position vector of nodes and element connectivity information are provided as priori. Several benchmark tests are carried out to demonstrate the performance of the present force-finding process. In particular, the force density distributions of simplex tensegrity are thoroughly investigated with the important parameters such as the radius, height and twisting angle of simplex tensegrity. Finally, the force density distribution of arch tensegrity is produced by using the present force-finding process for a future reference solution.

Keywords

References

  1. Burkhardt, R.W. (2008) A practical guide to tensegrity design, Cambridge.
  2. Connelly, R. (1982) Rigidity and energy. Inventiones Mathematicae, 66, 11-33. https://doi.org/10.1007/BF01404753
  3. Connelly, R. and Back, A. (1998) Mathematics and tensegrity. American Scientist, 86, 142-151. https://doi.org/10.1511/1998.2.142
  4. Connelly, R. (1999) Tensegrity structures: Why are they stable? in Rigidity Theory and Applications. Kluwer Academic/Plenum Publishers, 47-54.
  5. 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.
  6. Hernandez Juan, S. and Mirats Tur, J. M. (2008) Tensegrity frameworks: static analysis review. Mechanism and Machine Theory, 43(7), 859-881. https://doi.org/10.1016/j.mechmachtheory.2007.06.010
  7. Lee, S.J. (1999) A study on the shape and thickness optimization of shells using CAGD through minimization of strain energy with volume constraint, J. Compu. Struc. Eng. Institute of Korea, 12(4), 551-561.
  8. Lee, S.J. (2012) A form-finding of plannar tensegrity structures, Architectural Research, 14, 143-152. https://doi.org/10.5659/AIKAR.2012.14.4.143
  9. Lee, S.J. (2013) A form-finding technique for three-dimensional spatial structures, Architectural Research, 15, 207-214. https://doi.org/10.5659/AIKAR.2013.15.4.207
  10. 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.
  11. Motro, R. (2003) Tensegrity: structural systems for the future. Kogan Page Science, London.
  12. Pellegrino, S. (1993) Structural computations with the singular value decomposition of the equilibrium matrix. International Journal of Solid and Structures, 21, 3025-3035.
  13. 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 https://doi.org/10.1016/0045-7825(74)90045-0
  14. Schenk, M. (2005) Statically balanced tensegrity Mechnisms: a literature review. Technical Report, TU Delft.
  15. Tibert, A.G. and Pellegrino, S. (2003) Review of form-finding methods for tensegrity structures. International Journal of Space Structures. 18, 209-223. https://doi.org/10.1260/026635103322987940