American Society of Civil Engineers


Multistable Tensegrity Structures


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

Journal of Structural Engineering
, Vol. 137, No. 1, January 2011, pp. 117-123, (doi:  http://dx.doi.org/10.1061/(ASCE)ST.1943-541X.0000281)

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Document type: Journal Paper
Abstract: Tensegrity structures have been intensively studied since they appeared in the 1950s. Their applications have been extended from architecture to other areas including aerospace structures, cell mechanics, and robotics. In this paper, an interesting characteristic, the so-called multistability, is reported. A detailed investigation on a multistable tensegrity structure whose basic stable configuration corresponds to the expanded octahedron tensegrity is presented. Using an evolutionary form-finding scheme, together with the dynamic relaxation method, two other self-equilibrated configurations with higher strain energies are found. The stabilities of these configurations are verified by a matrix analysis process. Then, an investigation on the actuations and the corresponding threshold energies triggering the transformations between the different configurations is carried out. A typical set of actuation loads and the corresponding threshold energies for the state transformations are identified. The existence and the stability of the multistable configurations are verified by physical models. This study provides a theoretical basis for the further applications of multistable tensegrity structures.


ASCE Subject Headings:
Structural stability
Configuration
Transformations

Author Keywords:
Multistable
Tensegrity structures
Form finding
State transformation