用邻接矩阵识别机构运动链同构的研究  

REASEATCH ON MECHANISM KINEMATIC CHAIN ISOMORPHISM IDENTIFICATION USING ADIACENT MATRICES

作　　者：万金保[1] 董铸荣[1] 沈守范[2] 

机构地区：[1]深圳职业技术学院机电系,深圳518055 [2]南京理工大学机械系,南京210094

出　　处：《机械工程学报》2004年第7期85-88,共4页Journal of Mechanical Engineering

摘　　要：研究了同构运动链的邻接矩阵之间的关系,指出了现有理论的几个错误,给出了同构运动链其邻接矩阵的特征矢量及特征值关系的充分必要条件。据此提出了识别机构运动链同构的方法,它不仅可识别运动链的同构,而且可得到同构运动链构件间的对应关系。完善和发展了应用邻接矩阵特征矢量及特征值识别机构运动链同构的理论和方法。The relationship between adjacent matrices of mechanisms and their kinematic chains is studied. The relative theory published recent is revised,after some errors in the theory being found. The necessary and sufficient conditions of the eigenvalues and eigenvectors of adjacent matrices for isom-orphic kinematic chains are proved strictly. A new procedure to identify isomorphic chains is given. A one-to-one correspondence between links of isomorphic chain can be found also with the procedure.

关 键 词：邻接矩阵 运动链 同构 识别 

分 类 号：TH112[机械工程—机械设计及理论]