用多面立体拓扑结构码置换群法判定运动链同构  

Using the Topological Structure Code Permutation Group Method of Poly hedral Solid for Identifying Kinematic Chains

作　　者：刘川禾[1,2] 杨廷力[1,2] 

机构地区：[1]蚌埠坦克学院 [2]南京金陵石油化工公司

出　　处：《机械科学与技术》1999年第2期180-185,共6页Mechanical Science and Technology for Aerospace Engineering

摘　　要：提出了一种判定运动链同构的新方法——多面立体拓扑结构码置换群法。该法可在计算机上自动完成，且准确可靠，效率较高。用该法判定两运动链同构只需判断这两个链的ＴＳＣ之间是否存在一个置换，或判断两ＴＳＣ的伴随码是否相等，无须构造对称群。本方法适用于任何无复铰的不可分闭式运动链。This paper puts forward a new method for identifing kinematic chains isomorphism, which is called the topological structure code permutation group method of polyhedral solid. It can be put into practice by means of computer, and it is exact, dependable, quick and efficient .When isomorphism of two kinematic chains is identified by the method , it only need determine whether one permutation can be found out or not between topological structure codes of the two kinematic chains, or determine whether adjoint codes of the two topological structure codes are equal or not,it need not find out a symmetry group at all. It can be applied to all kinds of non separable closed kinematic chains that dont contain compound hinges.

关 键 词：多面立体 拓扑结构码 置换群 运动链 同构判定 

分 类 号：TH112[机械工程—机械设计及理论]