平面运动链的素数分层同构判定新方法  

New method for isomorphism identification of mechanism kinematic chains based on prime stratification

作　　者：张宇 孙伟 丁佳文 邹光明[1] ZHANG Yu;SUN Wei;DING Jia-wen;ZOU Guang-ming(College of Machinery and Automation,Wuhan University of Science and Technology,Wuhan 430081)

机构地区：[1]武汉科技大学机械自动化学院,湖北武汉430081

出　　处：《机械设计》2022年第10期34-39,共6页Journal of Machine Design

基　　金：武汉科技大学国家级大学生创新创业项目(202010488021)。

摘　　要：机构运动链的同构判定对机构的结构类型综合及优选有重要意义,文中提出了一种素数分层的新方法,用于平面运动链的同构判定。首先,提出了一种描述平面运动链的分层表示,该方法能清晰地描述各个构件的关联紧密程度,作为该构件的拓扑结构恒量用以同构判定;其次,根据每个构件与其他构件的关联紧密度得出该平面运动链的素数分层矩阵;再次,根据该矩阵得出该平面运动链的连接度和连接码,通过判断连接度和连接码这2个拓扑结构恒量来判断两运动链是否同构;最后,通过案例验证了该方法的可靠性和高效性。Isomorphic identification of kinematic chains is important to classical synthesis and optimization of structure type of a mechanism.In this article,a new method for identifying isomorphism of mechanism kinematic chains based on prime stratification is proposed.Firstly,a method for describing stratification of the mechanism kinematic chain is developed.Thus,the degree of associate tightness between one component and its counterparts is described clearly,which is treated as the component’s topological structure constant used for isomorphism identification.Then,a prime stratification matrix of the mechanism kinematic chain based on the degree of associate tightness among different components is worked out.According to the matrix,connectivity and connection code of the mechanism kinematic chain is defined.By distinguishing whether the topological structure constants of connectivity and connection code are equal,isomorphism of the mechanism kinematic chain is identified.Finally,some examples are applied to verify that this method is reliable and valid.

关 键 词：平面运动链 素数分层 同构判定 复合铰链 

分 类 号：TH112[机械工程—机械设计及理论]