Novel loop tree for the similarity recognition of kinematic chains

IF 1 4区工程技术 Q4 ENGINEERING, MECHANICAL Mechanical Sciences Pub Date : 2022-04-25 DOI:10.5194/ms-13-371-2022

Lei Wang, Liang Sun, Rongjiang Cui, Yadan Xu, Gaohong Yu, C. Wu

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Abstract

Abstract. The similarity recognition of kinematic chains (KCs) is helpful for improving the efficiency of configuration synthesis, which has been paid more and more attention in recent years. The existing recognition methods are divided into the definition method and feature constant method. Among them, the definition method is difficult to adopt in practice because of its long operation time, especially when the number of similar vertices in KCs is large. In this paper, the new concepts of a loop tree (LT) and a loop tree matrix (LTM) have been proposed, which improve the efficiency of similarity recognition. This method is applied on the complete structure of the following: 8-link with 1 DOF (degree of freedom), 9-link with 2 DOF, 10-link with 1 DOF, 12-link with 1 DOF, 13-link with 2 DOF, 14-link with 3 DOF, 15-link with 4 DOF planar single-joint KCs, and contracted graphs with up to six independent loops. All results are verified by the definition method to prove the good applicability, reliability, and efficiency of the proposed method. Simultaneously, the application case of the similarity recognition in a mechanism creation is given to provide a reference for an innovative design.

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一种新的运动链相似度识别环树

摘要运动链的相似度识别有助于提高构型综合效率，近年来受到越来越多的关注。现有的识别方法分为定义法和特征常数法。其中，定义方法由于操作时间长，特别是在KCs中相似顶点数量较多的情况下，在实践中难以采用。本文提出了循环树(LT)和循环树矩阵(LTM)的新概念，提高了相似性识别的效率。该方法适用于以下完整结构:8杆1自由度、9杆2自由度、10杆1自由度、12杆1自由度、13杆2自由度、14杆3自由度、15杆4自由度平面单关节KCs，以及多达6个独立回路的收缩图。用定义方法对所有结果进行了验证，证明了所提方法的适用性、可靠性和有效性。同时，给出了相似度识别在机构设计中的应用实例，为机构创新设计提供参考。

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来源期刊

Mechanical Sciences ENGINEERING, MECHANICAL-

CiteScore

2.20

自引率

7.10%

发文量

审稿时长

29 weeks

期刊介绍： The journal Mechanical Sciences (MS) is an international forum for the dissemination of original contributions in the field of theoretical and applied mechanics. Its main ambition is to provide a platform for young researchers to build up a portfolio of high-quality peer-reviewed journal articles. To this end we employ an open-access publication model with moderate page charges, aiming for fast publication and great citation opportunities. A large board of reputable editors makes this possible. The journal will also publish special issues dealing with the current state of the art and future research directions in mechanical sciences. While in-depth research articles are preferred, review articles and short communications will also be considered. We intend and believe to provide a means of publication which complements established journals in the field.