The singular value decomposition method of improved incidence matrix for isomorphism identification of epicyclic gear trains

IF 1 4区工程技术 Q4 ENGINEERING, MECHANICAL

Mechanical Sciences Pub Date : 2022-06-15 DOI:10.5194/ms-13-535-2022

Min Zhou, Wei Sun, Rong-Lin Wu, Wen-feng Fu

引用次数: 0

Abstract

Abstract. The epicyclic gear train (EGT) is an advanced gear transmission mechanism, which is widely applied in drive systems. It is of great significance to eliminate the same structure in the type synthesis of EGTs. In this paper, an isomorphism identification method of EGTs based on the singular value decomposition of improved incidence matrix is proposed. Firstly, the improved incidence matrix is used to describe the structure of EGTs. Then, the degree sequence of links and kinematic pairs can be extracted and used as a basic information for preliminary screening. The improved incidence matrix can effectively distinguish multiple joints. Next, the topological connection relationship between the links and the kinematic pairs is extracted by the singular value decomposition of the matrix, which is used as the final value for isomorphism identification of EGTs. Finally, the effectiveness of this method is verified through a lot of examples.

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改进关联矩阵奇异值分解法在行星轮系同构辨识中的应用

摘要行星轮系是一种先进的齿轮传动机构，在传动系统中有着广泛的应用。消除同种结构对egt型合成具有重要意义。本文提出了一种基于改进关联矩阵奇异值分解的egt同构识别方法。首先，采用改进的关联矩阵来描述egt的结构。然后，提取连杆度序列和运动对，作为初步筛选的基本信息。改进的关联矩阵能有效区分多个关节。其次，通过矩阵的奇异值分解提取连杆与运动对之间的拓扑连接关系，并将其作为fgt同构识别的最终值。最后，通过大量实例验证了该方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.