基于杆组邻接矩阵的平面构型的同构识别  

Isomorphism Identification of Planar Mechanism based on Assur-group Adjacency Matrix

作　　者：单春成 曹毅[1,2,3] 刘凯 Shan Chuncheng Cao Yi Liu Kai(Department of Mechanical Engineering, Jiangnan University, Wuxi 214122, China State Key Laboratory of Mechanical System and Vibration, Shanghai Jiaotong University, Shanghai 200240, China Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology, Wuxi 214122, China)

机构地区：[1]江南大学机械工程学院,江苏无锡214122 [2]上海交通大学机械系统与振动国家重点实验室,上海200240 [3]江苏省食品先进制造装备技术重点实验室,江苏无锡214122

出　　处：《机械传动》2016年第10期64-69,共6页Journal of Mechanical Transmission

摘　　要：机构构型的同构识别是机构构型综合的关键问题。针对杆组邻接矩阵平面构型综合法在综合平面构型过程中产生的同构构型,提出了一种识别并去除同构的方法——基于杆组邻接矩阵的平面构型的同构识别。首先根据杆组数和主动件数求出对角线元素,然后识别对角线同构,在添加杆组元素过程中识别杆组添加顺序同构,在杆组添加完毕后识别杆组邻接矩阵中的机构构型对称同构,在矩阵综合的过程中识别并去除三种同构类型。该方法易于计算机实现、操作容易,在综合过程中识别同构构型,使综合的效率提高。The isomorphism identification of structural type is a vital problem now. For dealing with the isomorphism generated in synthesis of planar configuration based on the synthesis method of Assur - group adja- cency matrix, a methodology of Assur - group adjacency matrix isomorphism identification is proposed. First of all, according to the diagonal elements is derived by the amount of Assur - group and active number, the diago- nal isomorphism identification is obtained. Then, the condition is classified into three kinds, first is sequence i- somorphism when Assur- group is equipped, second is symmetrical configuration isomorphism after adding Assur- group and the last one is discovered in matrix synthesis, which would be recognized and deleted by this method. Finally, the methodology proposed is able to be achieved by computer, easy to control and takes high efficiency in isomorphism identification.

关 键 词：邻接矩阵 同构识别 Assur杆组 运动链 

分 类 号：TH112[机械工程—机械设计及理论]