计算力学学报2012，Vol.29Issue(5)：668-674,7.
基于群集理论的高阶对称结构可动性判定
Mobility of highly symmetric structures based on group theory
摘要
Abstract
Based on the group theory,a novel method for determining the mobility of highly symmetric over-constrained assemblies is proposed.Different from the pin-jointed assemblies,these structures consist of revolving joints and rigid links,and have many modes of self-stresses.Thus,it is difficult to investigate their geometric stabilities using the conventional criteria for the mobility.By the equilibrium equation about the internal forces and external loads of each element,this study gives the equilibrium matrix and the compatibility matrix for these structures.The modes of mechanism displacement and self-stresses are obtained from the null-spaces of the matrices.Using the subspaces of irreducible representations and the characters from a symmetry group,the symmetry adapted modes of mechanisms and self-stresses could be accordingly expressed,and they will reveal the mobility.Some typical examples based on the geometries of polyhedra are discussed.It could be concluded that the proposed technique is convenient and feasible,and each of the illustrative structures has a single degree of freedom and is validated to be foldable.关键词
转动副/可动性判定/对称/平衡矩阵/群集理论Key words
revolving joint criteria for mobility symmetric structure equilibrium matrix group theory分类
建筑与水利引用本文复制引用
陈耀,冯健,夏仕洋..基于群集理论的高阶对称结构可动性判定[J].计算力学学报,2012,29(5):668-674,7.基金项目
江苏省＂六大人才高峰＂ （）
东南大学 优秀博士学位论文基金（YBJJ1025）资助项目. （）
