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Optimal prestress of Tensegrity Structures for External Load

텐세그러티 구조의 외력에 대한 적정 프리스트레스 결정

  • Ahn, Jung-Tae (Department of Architectural Engineering, Sejong University) ;
  • Lee, Jae-Hong (Department of Architectural Engineering, Sejong University)
  • Received : 2012.09.11
  • Accepted : 2013.02.28
  • Published : 2013.03.15

Abstract

This paper presents a new numerical method to analyse tensegrity structures by using singular value decomposition and force method. The tensegrity system consisting of compressive and tensle elements are pin-jointed system. Tensegrity structures, unlike the general structure should be preceded by form-finding. Tensegrity structures form-finding of the self-equilibrium stress stability, seeking to have the process. In this study, tensegrity structures when subjected to external loads, find the optimal pre-stress values was studied.

Keywords

References

  1. Lee, S.H, "Pin-joint Structural Analysis using Force Method based on Singular Value Decomposition", Master, Department of Architectural Engineering, Sejong University, 2010
  2. Jung M.R., Kim D.H., T.C Hoang, Lee Jaehong, "Self-equilibrium Stress Mode Analysis of Tensegrity Structures based on Eigenvalue Formulation", Conf. KSSC, pp.59-60,2009.
  3. Ingber, D.E., "The Architecture of Life", Scientific American Magazine, January, 1998.
  4. Kebiche K, Kazi-Aoual MN, Motro R. Geometrical nonlinear analysis of tensegrity system. Eng Struct, Vol. 21, No.9, pp.864-876, 1999 https://doi.org/10.1016/S0141-0296(98)00014-5
  5. Jung, M.R., Lee J.H., "Form-finding of Tensegrity Structures based on Eigenvalue Formulation", Journal of the Korean association for spatial structures / v.10 no.2, 2010년, pp.87-94
  6. Hanaor, A., "Preliminary Investigation of Double-Layer Tensegrities", in H.V.Topping, ed., Proceedings of International Conference on the Design and Construction of Non-conventional Structures, Vol.2, Edinbrugh, Scotland:Civil-Comp Press, 1987.
  7. Pugh,A., "An Introduction to Tensegrity, Berkeley", California : University of California Press, 1976.
  8. Burkhardt, R.W., "A practical guide to tensegrity design", Cambridge(USA), on-line, Accessed December 2003-August 2004.
  9. Kenner. H., "Geodesic Math and How to Use It", Berkeley, California : University of California Press, 1976.
  10. Tanaka, H. and Hangai, Y., "Rigid body displacement and stabilization condition of unstable structures", Proceedings of IASS Symposium, 1976.
  11. Hangai, Y. and Kawaguchi, K., "General inverse and its application to shape finding analysis", Baifukan, 1991.
  12. Shenk, M., "Statically balanced tensegrity mechanisms", Department of Biomechanical Engineering, 2005.
  13. Jung Miroo, Lee Jaehong, "Self-Equilibrium Stress Mode Analysis of cable dome Structures by Eigenvalue Analysis", Journal of the architectural institute of Korea : Structure & construction, Vol. 25, No 4, pp.101-108, 2009.
  14. Kaveh. A., "Application of topology and matroid theory to the analysis of structures", Ph.D. thesis, London University, Imperial College, 1974.
  15. Kaveh. A., "Improved cycle bases for the flexibility analysis of planar trusses", Comput. Meths. Appl. Mech. Engng., Vol. 9, pp.267-272, 1979.
  16. Kaveh. A., "An efficient program for generating subminimal cycle bases for the flexibility analysis of structures", Communs. Numer. Meths. Engng., Vol.2, pp.339-344, 1986. https://doi.org/10.1002/cnm.1630020403
  17. S. Pellegrino., "Structural computations with the singular value decomposition of the equilibrium matrix", International Jouenal of Solids and Structures, Vol. 30, Issue 21, pp. 3025-3035, 1993. https://doi.org/10.1016/0020-7683(93)90210-X
  18. Chung, W.S., Lee, J.H., Kang, J.W., "Form-finding of Tensegrity Structures with constraints by using Force Method", Journal of the Korean association for spatial structures. v.11 no.4, 2011, pp.49-59 https://doi.org/10.9712/KASS.2011.11.4.049