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An Algorithm for Identifying the Isomorphism of Planar Multiple Joint and Gear Train Kinematic Chains

机译：平面多关节齿轮传动机构运动链同构的识别算法

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摘要

Isomorphism identification of kinematic chains is one of the most important and challenging mathematical problems in the field of mechanism structure synthesis. In this paper, a new algorithm to identify the isomorphism of planar multiple joint and gear train kinematic chains has been presented. Firstly, the topological model (TM) and the corresponding weighted adjacency matrix (WAM) are introduced to describe the two types of kinematic chains, respectively. Then, the equivalent circuit model (ECM) of TM is established and solved by using circuit analysis method. The solved node voltage sequence (NVS) is used to determine the correspondence of vertices in two isomorphism identification kinematic chains, so an algorithm to identify two specific types of isomorphic kinematic chains has been obtained. Lastly, some typical examples are carried out to prove that it is an accurate, efficient, and easy mathematical algorithm to be realized by computer.
机译：运动链的同构识别是机制结构综合领域中最重要和最具挑战性的数学问题之一。本文提出了一种新的识别平面多关节和齿轮系运动学链同构的算法。首先，引入拓扑模型（TM）和相应的加权邻接矩阵（WAM）分别描述两种类型的运动链。然后，通过电路分析方法建立并求解了TM的等效电路模型（ECM）。通过求解节点电压序列（NVS）来确定两个同构识别运动链中顶点的对应关系，从而获得了识别两种特定类型同构运动链的算法。最后，通过一些典型的例子证明了该算法是一种可以通过计算机实现的准确，高效，简便的数学算法。

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  • 来源
    《Mathematical Problems in Engineering》 |2016年第3期|5310582.1-5310582.15|共15页
  • 作者

    Zou Yanhuo; He Peng;

  • 作者单位

    Chinese Acad Sci, Quanzhou Inst Equipment Mfg, Haixi Inst, Quanzhou 362200, Peoples R China;

    Chinese Acad Sci, Quanzhou Inst Equipment Mfg, Haixi Inst, Quanzhou 362200, Peoples R China;

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