Synthesis of contracted graph for planar nonfractionated simple-jointed kinematic chain based on similarity information

文献类型： 外文期刊

第一作者： Ye, Zhizheng

作者： Ye, Zhizheng;Huang, Xuewen;Wu, Chuanyu;Sun, Liang;Ye, Zhizheng;Huang, Xuewen;Wu, Chuanyu;Sun, Liang;Xue, Xianglei

作者机构：

关键词： Contracted graph; Similarity information; Planar nonfractionated simple-jointed kine; matic chain; Vertex connection; Rationality

期刊名称：MECHANISM AND MACHINE THEORY （ 影响因子：5.2； 五年影响因子：5.2 ）

ISSN： 0094-114X

年卷期： 2023 年 181 卷

页码：

收录情况： SCI

摘要： Many structural synthesis methods require a complete database of contracted graphs. Therefore, this study proposes a method based on similarity information to efficiently synthesize contracted graphs for planar nonfractionated simple-jointed kinematic chains. First, the degree of all vertices is calculated using the number of independent loops and the degree sequence equation. Then, the method of vertex connection is used to enumerate the contracted graph. In this process, similarity information is used to match the connection type between vertices quickly. The type of similar vertex is determined, and nonisomorphic graphs caused by incompletely equivalent similar vertices are discovered. Additionally, the changes in similarity information are tracked to identify nonisomorphic graphs caused by similarity variation. Then, the characteristic constants repre-senting the similarity of graphs are retained to rule out the isomorphism caused by different parent graphs. Finally, the rationality of contracted graphs is identified. The contracted graph with up to eight independent loops and its solution time are provided. Furthermore, the reliability and efficiency of the method can be demonstrated by comparing it to the database of other literature.

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