American Society of Civil Engineers

Force Finding of Tensegrity Systems Using Simulated Annealing Algorithm

by Xian Xu, (Postdoctoral Fellow, Dept. of Civil Engineering, Zhejiang Univ., Hangzhou, Zhejiang 310058, China) and Yaozhi Luo, (corresponding author), A.M.ASCE, (Professor, Dept. of Civil Engineering, Zhejiang Univ., Hangzhou, Zhejiang 310058, China E-mail:

Journal of Structural Engineering, Vol. 136, No. 8, August 2010, pp. 1027-1031, (doi:

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Document type: Technical Note
Abstract: In this paper, an optimization model for force finding of tensegrity systems with considerations of the geometrical stability condition, the unilateral property of members, and the evenness requirement of internal forces was developed. The simulated annealing algorithm was used to solve this optimization problem. Force finding of several typical tensegrity systems was carried out with the proposed method. It was found that the optimized solutions were very close to the analytical solutions and able to reflect the geometrical symmetry of the structures. It also verified that the proposed method is applicable to tensegrity systems under consideration including simple two-dimensional structures and complex three-dimensional multimodular structures.

ASCE Subject Headings:
Structural analysis

Author Keywords:
Prestress optimization
Simulated annealing algorithm