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原文传递 Improved Form-Finding of Tensegrity Structures Using Blocks of Symmetry-Adapted Force Density Matrix

题名：	Improved Form-Finding of Tensegrity Structures Using Blocks of Symmetry-Adapted Force Density Matrix
其他题名：	Altmann,S.L.,and P.Herzig.1994.Point-group theory table.Oxford,UK:Clarendon.
正文语种：	英文
作者：	Yao Chen
关键词：	Self-equilibrium;Symmetric tensegrity;Irreducible representation;Advanced form-finding;Force density
摘要：	Form-finding analysis is very important for developing innovative tensegrity structures. Nevertheless, it is frequently difficult to determine simultaneously the prestress mode and the exact nodal coordinates for a given geometry. This paper presents an improved symmetry method for analytical form-finding of tensegrity structures. The method is based on group representation theory and the force density method, and requires only the specified symmetry type and connectivity of a structure. The force densities of a d-dimensional tensegrity structure can be accurately determined using the zero determinant of d small-sized block matrices of a symmetry-adapted force density matrix. The nodal coordinate vectors can be obtained from the null spaces of the blocks through symmetry spaces for rigid-body translations along d directions. A number of geometries with cyclic symmetry, dihedral symmetry, or tetrahedral symmetry are investigated. Illustrative examples show that the proposed method allows significant simplification of the form-finding process. The analytical solutions offer all feasible stable or superstable tensegrity structures with expected symmetries. The obtained prestress modes for each independent structural configuration necessarily retain full symmetry.
出版年：	2018
论文唯一标识：	P-26Y2018V144N10013
英文栏目名称：	ANNIVERSARY PAPERS
doi：	10.1061/(ASCE)ST.1943-541X.0002172
期刊名称：	Journal of Structural Engineering
拼音刊名(出版物代码)：	P-26
卷：	144
期：	10
页码：	143-155