邻接矩阵在平面机构分析中的应用  

Application of Adjacent Matrices of Mechanisms to the Analysis of Planar Mechanisms

作　　者：万金保[1] 周旭光[1] 沈守范[2] 

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

出　　处：《机械科学与技术》2004年第7期809-812,共4页Mechanical Science and Technology for Aerospace Engineering

摘　　要：研究了邻接矩阵在平面机构自由度计算、同构识别和速度瞬心求解中的应用。揭示了邻接矩阵与机构自由度的关系。给出了同构运动链邻接矩阵的特征向量及特征值关系的充要条件 ,据此提出了识别机构运动链同构的方法。最后 。The application of adjacent matrices of mechanisms to the determination of the degree of freedom, the identification of isomorphic chains and the detection of instant centers for mechanisms are studied. The relationship between the adjacent matrix and the degree of freedom of a mechanism is explained. The necessary and sufficient conditions of the eigenvalues and eigenvectors of these matrices for isomorphic chains have been proved. A new procedure to identify isomorphic chains is given. The method to find all instant centers and the shortest path leading to any instant center of a mechanism using square adjacent matrices has been explained.

关 键 词：邻接矩阵 运动链 自由度 同构 识别 速度瞬心 

分 类 号：TH112[机械工程—机械设计及理论]