Stiffness matrix based form-finding method of tensegrity structures

Stiffness matrix based form-finding method of tensegrity structures
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基于刚度矩阵的张拉整体结构找形方法

DOI:
10.1016/j.engstruct.2013.10.014
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发表时间:
2014
影响因子:
5.5
通讯作者:
Feng, Xi-Qiao
Feng, Xi-Qiao
中科院分区:
工程技术2区
文献类型:
--
作者:
Zhang, Li-Yuan;Li, Yue;Cao, Yan-Ping;Feng, Xi-Qiao

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A highly efficient form-finding method of tensegrity is presented on the basis of the structural stiffness matrix, which is defined as the derivative of the out-of-balance force vector with respect to the nodal coordinate vector. The stiffness matrix and the total potential energy of the structure are utilized to direct the rapid convergence of the structural configuration to the self-equilibrated and stable state. In the programmed procedure, we employ the stochastic selecting algorithm to exclude rigid-body motions, the restricted step algorithm to guarantee the positive definiteness of the structural stiffness matrix, and the line search algorithm to minimize the total potential energy. This form-finding method allows us to easily determine the self-equilibrated and stable configuration of a tensegrity from an arbitrary initial state. A number of representative examples are given to demonstrate its accuracy and efficacy for both regular and irregular tensegrity structures of large scale.
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