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Comprehensive analysis method for configuration of large-scale continuous deformation mechanisms based on graph theory

Published:2024-06-27 author:YAO Qishui, DONG Penglin, TANG Jiachang, et al. Browse: 43 Check PDF documents

Comprehensive analysis method for configuration of large-scale continuous

deformation mechanisms based on graph theory

YAO Qishui1,2, DONG Penglin1,2, TANG Jiachang1,2, XIA Yan3, QIU Zitong1,2

(1.School of Mechanical Engineering, Hunan University of Technology, Zhuzhou 412007, China; 2.Key Laboratory of

High-performance Rolling Bearings in Hunan Province, Zhuzhou 412007, China; 3.China Academy of Launch

Vehicle Technology, Beijing 100076, China)

Abstract: Aiming at the problem of large-scale continuous deformation mechanism configuration in aerospace field, a comprehensive analysis method of large-scale continuous deformation mechanism configuration based on graph theory was proposed. Firstly, the composition and basic functions of large-scale continuous deformation mechanism were analyzed to meet the requirements of the topological structure and constraint conditions of the mechanism. The kinematic chain of the mechanism was analyzed to obtain the conforming kinematic chain and its mathematical description. Secondly ,the topological symmetry of the kinematic chain was selected and analyzed, and the discriminant matrix was obtained by using the method of characteristic array, and the isomorphism of the kinematic chain was discriminated, so that various feasible kinematic chain forms were obtained. Thirdly, the topological graph of each motion chain was established, and the final topological graph was obtained through screening. The topological transformation subgraph and the corresponding adjacency matrix were obtained by removing each component of the topological graph, and the isomorphism of the topological graph was judged. Then 12 configurations that meet the requirements were obtained by changing the position of the frame and the moving pair, and the corresponding mechanism topology diagram and mechanism diagram were drawn. Finally, considering the overall stability of the large-scale continuous deformation mechanism and avoiding excessive size and other factors, the configuration of the large-scale deformation mechanism was optimized, and many new configurations that met the requirements were obtained. The research results show that this method can abstract the large-scale continuous deformation mechanism into a graph form and obtain 22 configurations. According to the different deformation requirements of the mechanism, the basis of optimization can be changed, so that the configuration meeting different requirements can be obtained.

Key words: large-scale continuous deformation mechanism; graph theory method; configuration synthesis; isomorphism discrimination; topological analysis of kinematic chain structure; mechanism deformation requirements

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