SPANNING TREE METHOD OF IDENTIFYING ISOMORPHISM AND TOPOLOGICAL SYMMETRY TO PLANAR KINEMATIC CHAIN WITH MULTIPLE JOINT

作     者：Song Li Yang Jian Department of Mechanical Engingeering,Xiangtan University Zhang Xianmin Cao Weiqing Shantou University Xi’an University of Technology 

作者机构：湘潭大学机械工程学院 湖南 湘潭 汕头大学 广东 西安理工大学 陕西 

出 版 物：《Chinese Journal of Mechanical Engineering》 (中国机械工程学报(英文版))

年 卷 期：2001年第14卷第1期

页      面：27-31页

核心收录：

学科分类：0817[工学-化学工程与技术] 08[工学] 0807[工学-动力工程及工程热物理] 080203[工学-机械设计及理论] 0802[工学-机械工程] 0811[工学-控制科学与工程] 0801[工学-力学（可授工学、理学学位）] 

主　　题：Structural graph of kinematic chain Multiple joint Isomorphism Topological symmetry Spanning tree 

摘      要：The spanning tree method of identifying isomorphism and topological symmetry to planar kinematic chain with multiple joint is presented. Directly using the kinematic chain’s structural graph in the mechanism motion sketch or its inversion,the connected relations of components and joints can be presented through the spanning tree constructed by Depth First traversal the graph and the distribution of back edge. Then, whether two graph isomorphism and components’topological symmertry can be identified through comparing the structural characteristic of spanning tree and the distribution characteristic of back edge. The study shows that the method is effective, directly perceptible, simple and convenient, and easily dealt with by computer.