用缩微变换识别轮系拓扑同构的研究  

Study on the Topological Isomorphism Detection of the Gear Trains by Microfilm Conversion

作　　者：史晓影[1] 

机构地区：[1]渭南师范学院,陕西渭南714000

出　　处：《机械传动》2012年第8期23-26,共4页Journal of Mechanical Transmission

基　　金：渭南省科技计划项目(2011KYJ-1)

摘　　要：拓扑同构问题是机构的结构类型综合及优选的重要影响因素,根据杆副机构采用的矩阵判定方法并结合离散型拓扑模型的特点,提出了用拓扑缩微变换解决拓扑同构判定的新方法,最后以算例的形式给出了此方法的具体判定过程,并实现了计算机自动判定。实例证明该方法准确、简单、高效且能在计算机上实现。新算法的优点是便于计算机的拓扑自动综合和同构识别,从而为拓扑反演的自动化、智能化、网络化和可视化创造了条件。The topological isomorphism is an important factor that affects the mechanism synthesis and optimiza- tion. Based on the matrix determination method the pole pair mechanism combining with the characteristic of the dis- crete topology, a new method of the topology microfilm transform to solve the problem of topological isomorphism is pro- posed. Finally, the detailed determine methods are given by the example from, and the automated decision by the computer is achieved. The examples show that this new method is precise, simple, effective and easy to implement by computer. The new method has the advantages of automatic topographical synthesis and isomorphism identification by computer, thus the topology inversion can be automated, intelligent, networked and visualization in the future.

关 键 词：轮系拓扑 同构判定 缩微变换 关联矩阵 

分 类 号：TH112[机械工程—机械设计及理论]