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International Journal of Solids and Structures
Volume 38, Issue 20, May 2001, Pages 3615-3629
 
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doi:10.1016/S0020-7683(00)00233-X    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2001 Elsevier Science Ltd. All rights reserved.

Static and dynamic analyses of tensegrity structures. Part II. Quasi-static analysis

Hidenori MurakamiCorresponding Author Contact Information, E-mail The Corresponding Author

Department of Mechanical and Aerospace Engineering, University of California at San Diego, 9500 Gilman Drive, La Jolla, CA 92093-0411, USA

Received 12 April 2000;
revised 20 May 2000.
Available online 28 March 2001.

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Abstract

Linearized Lagrangian equations developed in the first part of the paper were employed for static analyses of cyclic cylindrical tensegrity modules. Linearized equilibrium equations at natural configurations were used to investigate initial shape, static and kinematic indeterminancy, pre-stress and infinitesimal mechanism modes, and the sensitivity analysis of initial geometry. Linearized equilibrium equations at pre-stressed initial configurations were utilized to investigate pre-stress stiffening and to distinguish first-order mechanisms from higher-order mechanisms. To estimate critical loads for bar buckling and cable slacking, nonlinear equilibrium equations were employed to compute element forces. Further, the equivalence between the twist angle theorem obtained from a geometrical consideration and the equilibrium analysis was established for cyclic cylindrical tensegrity modules. It is concluded that infinitesimal mechanism modes and pre-stresses characterize the static and dynamic response of tensegrity structures.

Author Keywords: Tensegrity; Truss analysis; Infinitesimal mechanisms

Article Outline

1. Introduction
2. Initial equilibrium analysis
3. Shape finding of cyclic cylindrical modules
4. Stiffness of pre-stressed tensegrity structures
5. Hardening-type load–displacement relations
6. A tensegrity configuration space
7. Concluding remarks
Acknowledgements
References







 
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