The singular value decomposition method of improved incidence matrix for isomorphism identification of epicyclic gear trains
<p>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 v...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2022-06-01
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| Series: | Mechanical Sciences |
| Online Access: | https://ms.copernicus.org/articles/13/535/2022/ms-13-535-2022.pdf |
| _version_ | 1817968205632634880 |
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| author | M. Zhou M. Zhou W. Sun W. Sun R. Wu W. Fu |
| author_facet | M. Zhou M. Zhou W. Sun W. Sun R. Wu W. Fu |
| author_sort | M. Zhou |
| collection | DOAJ |
| description | <p>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.</p> |
| first_indexed | 2024-04-13T20:04:48Z |
| format | Article |
| id | doaj.art-3b10afc658eb484cb898da240cc86299 |
| institution | Directory Open Access Journal |
| issn | 2191-9151 2191-916X |
| language | English |
| last_indexed | 2024-04-13T20:04:48Z |
| publishDate | 2022-06-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Mechanical Sciences |
| spelling | doaj.art-3b10afc658eb484cb898da240cc862992022-12-22T02:32:01ZengCopernicus PublicationsMechanical Sciences2191-91512191-916X2022-06-011353554210.5194/ms-13-535-2022The singular value decomposition method of improved incidence matrix for isomorphism identification of epicyclic gear trainsM. Zhou0M. Zhou1W. Sun2W. Sun3R. Wu4W. Fu5Key Laboratory of Metallurgical Equipment and Control Technology, Ministry of Education, Wuhan University of Science and Technology, Wuhan 430081, ChinaHubei Key Laboratory of Mechanical Transmission and Manufacturing Engineering, Wuhan University of Science and Technology, Wuhan 430081, ChinaKey Laboratory of Metallurgical Equipment and Control Technology, Ministry of Education, Wuhan University of Science and Technology, Wuhan 430081, ChinaHubei Key Laboratory of Mechanical Transmission and Manufacturing Engineering, Wuhan University of Science and Technology, Wuhan 430081, ChinaCollege of Machinery and Automation, Wuhan University of Science and Technology, Wuhan 430081, ChinaInternational College, Wuhan University of Science and Technology, Wuhan 430081, China<p>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.</p>https://ms.copernicus.org/articles/13/535/2022/ms-13-535-2022.pdf |
| spellingShingle | M. Zhou M. Zhou W. Sun W. Sun R. Wu W. Fu The singular value decomposition method of improved incidence matrix for isomorphism identification of epicyclic gear trains Mechanical Sciences |
| title | The singular value decomposition method of improved incidence matrix for isomorphism identification of epicyclic gear trains |
| title_full | The singular value decomposition method of improved incidence matrix for isomorphism identification of epicyclic gear trains |
| title_fullStr | The singular value decomposition method of improved incidence matrix for isomorphism identification of epicyclic gear trains |
| title_full_unstemmed | The singular value decomposition method of improved incidence matrix for isomorphism identification of epicyclic gear trains |
| title_short | The singular value decomposition method of improved incidence matrix for isomorphism identification of epicyclic gear trains |
| title_sort | singular value decomposition method of improved incidence matrix for isomorphism identification of epicyclic gear trains |
| url | https://ms.copernicus.org/articles/13/535/2022/ms-13-535-2022.pdf |
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