Eliminating isomorphism identification method for synthesizing nonfractionated kinematic chains based on graph similarity
Eliminating isomorphism identification method for synthesizing nonfractionated kinematic chains based on graph similarity
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DOI：
10.1016/j.mechmachtheory.2021.104500
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发表时间：
2022
影响因子：
5.2
通讯作者：
Liang Sun;Zhizheng Ye;Rongjiang Cui;Xuewen Huang;Chuanyu Wu
中科院分区：
文献类型：
--
作者：
Liang Sun;Zhizheng Ye;Rongjiang Cui;Xuewen Huang;Chuanyu Wu
为提高平面无分式运动链综合效率，实现运动链综合自动化，提出了一种消除同构识别的方法。该方法基于收缩图的顶点插入。首先对收缩图的相似边进行分组，在分组中找出相似边并计算其特征矩阵。边的类型是根据顶点插入后是否出现异构来划分的。然后，根据边条件将顶点插入到收缩图中。在这个过程中，所有的异构所造成的插入顶点的位置和数量被保留，并检查类似的边的属性变化。最后，其余异构的刚性子链进行了区分。附录中给出了具有四个独立回路的收缩图及其插入点。还提供了一套完整的非分馏KC，具有多达七个独立回路和三个自由度。通过与文献结果的对比分析，验证了该方法的准确性和有效性。
A novel method for eliminating isomorphism identification is proposed to improve synthesis efficiency and synthesize planar nonfractionated kinematic chain (KCs) automatically. This method is based on the vertex insertion of contracted graphs. First, similar edges of contracted graphs are divided into groups, in which the similar edges are found and their characteristic matrices are calculated. The edge types are divided based on whether or not isomerism occurs after vertices are inserted. Then, the vertices are inserted into contracted graphs according to the edge condition. In this process, all isomerism caused by the location and number of inserted vertices is reserved, and the property change of similar edges is checked. Lastly, the rigid subchains of remaining isomerism are distinguished. Contracted graphs with four independent loops and some of their inserted vertices are presented in appendix. A complete set of nonfractionated KCs with up to seven independent loops and three degrees of freedom is also provided. The veracity and efficiency of the method are confirmed by conducting a comparative analysis between this synthesis and other literature results.