{"title":"The singular value decomposition method of improved incidence matrix for isomorphism identification of epicyclic gear trains","authors":"Min Zhou, Wei Sun, Rong-Lin Wu, Wen-feng Fu","doi":"10.5194/ms-13-535-2022","DOIUrl":null,"url":null,"abstract":"Abstract. The epicyclic gear train (EGT) is an advanced gear\ntransmission mechanism, which is widely applied in drive systems. It is\nof great significance to eliminate the same structure in the type synthesis\nof EGTs. In this paper, an isomorphism identification method of EGTs based\non the singular value decomposition of improved incidence matrix is\nproposed. Firstly, the improved incidence matrix is used to describe the\nstructure of EGTs. Then, the degree sequence of links and kinematic pairs\ncan be extracted and used as a basic information for preliminary screening.\nThe improved incidence matrix can effectively distinguish multiple joints.\nNext, the topological connection relationship between the links and the\nkinematic pairs is extracted by the singular value decomposition of the\nmatrix, which is used as the final value for isomorphism identification of\nEGTs. Finally, the effectiveness of this method is verified through a lot of\nexamples.\n","PeriodicalId":18413,"journal":{"name":"Mechanical Sciences","volume":" ","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2022-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanical Sciences","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.5194/ms-13-535-2022","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
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.
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.
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