Symmetry-adapted equilibrium matrices

被引:68
作者
Kangwai, RD [1 ]
Guest, SD [1 ]
机构
[1] Univ Cambridge, Dept Engn, Cambridge CB2 1PZ, England
关键词
Kinematics - Stiffness matrix - Stress analysis;
D O I
10.1016/S0020-7683(98)00318-7
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A number of authors have previously used group representation theory to block-diagonalise the stiffness matrix of a symmetric structure. This paper describes how similar techniques can be used to block-diagonalise the equilibrium matrix of a symmetric structure. This is shown to provide useful insight into the static and kinematic response of such systems. In particular, it simplifies finding and classifying states of self-stress and mechanisms, as well as reducing the computational effort required for a Force Method analysis. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:1525 / 1548
页数:24
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