平面运动链同构识别的距离和序列法  

Distance Summation Sequence Method of Isomorphism Indentification of Planar Kinematic Chains

作　　者：聂松辉[1] 宏昭 邱爱红[2] 

机构地区：[1]西安理工大学,西安710048 [2]湘潭大学,湘潭411105

出　　处：《中国机械工程》2008年第2期217-221,共5页China Mechanical Engineering

基　　金：国家自然科学基金资助项目(50575180;50475143);湖南省教育厅资助项目(04C654)

摘　　要：对平面机构运动链结构组成进行探讨后,研究了运动链中的结构不变量,并基于缩杆邻接矩阵提出了4个新的运动链结构恒量序列,这些恒量序列将杆的级别、运动副数目以及各杆的连接关系考虑在内。以此为基础,提出了对运动链进行同构识别的距离和序列法。该方法实质上是对运动链进行分类同构识别,因此具有操作简单、可靠性好、识别效率高等特点,已成功应用于12杆以下机构运动链型综合时的同构识别。The structural invariants of planar kinematic chains were studied after some discussions to the structural compositions of the chains. And based on the contracted link adjacency matrix, four new structural invariant sequences were presented. In these invariant sequences, the degrees of links, the numbers of kinematic pairs and connective relation of links in the kinematic chains were taken into account. As a further step, the distance summation sequence method was proposed for isomorphism identification of kinematic chains using these invariant sequences. The method was applied to identify the isomorphism chains out of the finely classified kinamatic chains, therefore, it is characterized by great reliability and high efficiency in identification. It has been successfully applied to isomorphism identification of the type synthesis of the 12-1inks and 12-below-links kinematic chains.

关 键 词：同构 运动链 缩杆邻接矩阵 恒量序列 基杆构型树 

分 类 号：TH112.1[机械工程—机械设计及理论]