Topological invariant and definition method for detecting isomorphism in planar kinematic chains-Reference-Cited by-同舟云学术

Topological invariant and definition method for detecting isomorphism in planar kinematic chains

Published:2020-09-22 Issue:15 Volume:235 Page:2715-2724
ISSN:0954-4062
Container-title:Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
language:en
Short-container-title:Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Author:

Cui Rongjiang¹²^ORCID,Ye Zhizheng¹²,Sun Liang¹²^ORCID,Wu Chuanyu¹²

Affiliation:

1. College of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou, China

2. Zhejiang Province Key Laboratory of Transplanting Equipment and Technology, Hangzhou, China

Abstract

Isomorphism identification is an essential step in mechanism configuration synthesis. Although various detection methods have been proposed, some of them can only effectively identify kinematic chains (KCs) within 10 links or complex programs that are needed to identify multilink KCs. In this study, a new isomorphism identification method is proposed based on the distance concept of graphs and the graph theory definition of isomorphism. In addition to two complex 21- and 28-link planar simple-joint KCs (PSKCs), the proposed algorithm is tested on the complete atlas of 8-link 1-DOF, 9-link 2-DOF, 10-link 1-DOF, 12-link 1-DOF, and 13-link 2-DOF PSKCs. The algorithm is also tested on 6-link 1-DOF and 7-link 1-DOF planetary gear trains (PGTs) to detect isomorphism. All results are in agreement with those of the existing literature. The method is fully automated via a computer program and has been verified to be reliable and efficient.

Funder

National Natural Science Foundation of China

Publisher

SAGE Publications

Subject

Mechanical Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/0954406220960789

Reference25 articles.

1. Mechanism Design

2. A method for the identification and recognition of equivalence of kinematic chains

3. In quest of a reliable and efficient computational test for detection of isomorphism in kinematic chains

4. A Method for the Identification of Planar Linkage Chains

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