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Steel and Composite Structures
  Volume 41, Number 2, October25 2021 , pages 267-277
DOI: https://doi.org/10.12989/scs.2021.41.2.267
 


Numerical form-finding of multi-order tensegrity structures by grouping elements
Xinyu Wang, Jianguo Cai, Daniel Sang-hoon Lee, Yixiang Xu and Jian Feng

 
Abstract
    Multi-order tensegrity structures are an attractive form of compliant deployable structures. An efficient numerical form-finding method is proposed for multi-stable tensegrity structures in this paper. The current method first analyze the force density matrix for sets of more feasible force densities that satisfy the non-degeneracy conditions. Then, based on symmetrical grouping of elements, a genetic algorithm is used to minimize the eigenvalues; as a result, multiple orders of equilibrium can be found. For the investigation, two symmetric tensegrity structures are analyzed using the currently proposed method, and the method's applicability and accuracy have been examined.
 
Key Words
    grouping elements; force density; form-finding, multi-order; non-degeneracy condition
 
Address
Xinyu Wang and Jianguo Cai: Key Laboratory of C& PC Structures of Ministry of Education, Southeast University, Nanjing, China
Daniel Sang-hoon Lee: 3The Royal Danish Academy of Fine Arts, School of Architecture, School of Architecture, Institute of Technology
Yixiang Xu: School of Aerospace, UNNC, University of Nottingham Ningbo China
Jian Feng: Key Laboratory of C& PC Structures of Ministry of Education, Southeast University, Nanjing, China;
National Prestress Engineering Research Center, Southeast University, Nanjing, China
 

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