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Vol. 41 (2000) No. 1 April n. 132


Nonlinear Dynamic Analysis of Tensegrity Systems

< Table of Contents for Vol. 41 (2000) No. 1 April n. 132
  • Journal Name: Journal of the International Association for Shell and Spatial Structures (J. IASS)
  • ISSN: (Electronic Version) 1996-9015
  • ISSN: (Print Version) 1028-365X
  • Issue: Vol. 41 (2000) No. 1 April n. 132
  • Pages: 49-58
  • Title: Nonlinear Dynamic Analysis of Tensegrity Systems
  • Author(s): N. Ben Kahla, B. Moussa, J. C. Pons
  • Keywords: Tensegrity systems, Dynamic analysis, Nonlinear, Natural frequencies
Abstract
This paper examines the response of Tensegrity systems to dynamic loading. A procedure for the nonlinear dynamic analysis of Tensegrity systems is presented. The incremental equation of motion is written with respect to the system’s configuration using an updated Lagrangian formulation and integrated in time by the Newmark constant-average acceleration method. A modified Newton-Raphson iterative scheme is then adopted to insure equilibrium within each time step. This procedure is used for the study of the nonlinear dynamic response of a five module Tensegrity beam to harmonic loading. The structure’s frequencies are determined assuming it vibrates about its deflected position under variable load magnitudes. Maximum element force time histories and dynamic amplification factors are computed as a function of variable load frequencies. Results obtained revealed that resonant responses occurred at frequencies that do not correspond to that of the lowest mode of vibrations, and caused large forces in only few elements of the structure.

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