A new method for isomorphism identification of planetary gear trains
<p>Planetary gear trains (PGTs) are widely used in machinery such as vehicles, pulley blocks, wrist watches, machine tools, and robots. During the process of structural synthesis of PGTs using graph theory, isomorphism identification of graphs is an important and complicated problem. The relia...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2021-02-01
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| Series: | Mechanical Sciences |
| Online Access: | https://ms.copernicus.org/articles/12/193/2021/ms-12-193-2021.pdf |
| _version_ | 1818957693715480576 |
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| author | W. Sun W. Sun R. Li R. Li J. Kong J. Kong A. Li A. Li |
| author_facet | W. Sun W. Sun R. Li R. Li J. Kong J. Kong A. Li A. Li |
| author_sort | W. Sun |
| collection | DOAJ |
| description | <p>Planetary gear trains (PGTs) are widely used in machinery such as vehicles, pulley blocks, wrist watches, machine tools, and robots. During the process of structural synthesis of PGTs using graph theory, isomorphism identification of graphs is an important and complicated problem. The reliability of the isomorphism detection method directly determines the accuracy of the synthesis result. In this paper, a novel isomorphism identification method for PGTs is proposed. First, a new weighted adjacent matrix is presented to describe the topological graph of PGTs, which has is unique in describing the structure of PGTs. Then, the weighted distance matrix is proposed and the sum of the matrix is obtained, which can determine whether the planetary gear trains is isomorphic or not. Eventually, the examples demonstrate that this new method can be accurately and effectively performed.</p> |
| first_indexed | 2024-12-20T11:13:55Z |
| format | Article |
| id | doaj.art-4a218cac47fc404cb6c8a30c2acbb691 |
| institution | Directory Open Access Journal |
| issn | 2191-9151 2191-916X |
| language | English |
| last_indexed | 2024-12-20T11:13:55Z |
| publishDate | 2021-02-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Mechanical Sciences |
| spelling | doaj.art-4a218cac47fc404cb6c8a30c2acbb6912022-12-21T19:42:40ZengCopernicus PublicationsMechanical Sciences2191-91512191-916X2021-02-011219320210.5194/ms-12-193-2021A new method for isomorphism identification of planetary gear trainsW. Sun0W. Sun1R. Li2R. Li3J. Kong4J. Kong5A. Li6A. Li7Key Laboratory of Metallurgical Equipment and Control Technology, Wuhan University of Science and Technology, 430080 Wuhan, ChinaHubei Key Laboratory of Mechanical Transmission and Manufacturing Engineering, Wuhan University of Science and Technology, 430080 Wuhan, ChinaKey Laboratory of Metallurgical Equipment and Control Technology, Wuhan University of Science and Technology, 430080 Wuhan, ChinaHubei Key Laboratory of Mechanical Transmission and Manufacturing Engineering, Wuhan University of Science and Technology, 430080 Wuhan, ChinaKey Laboratory of Metallurgical Equipment and Control Technology, Wuhan University of Science and Technology, 430080 Wuhan, ChinaHubei Key Laboratory of Mechanical Transmission and Manufacturing Engineering, Wuhan University of Science and Technology, 430080 Wuhan, ChinaKey Laboratory of Metallurgical Equipment and Control Technology, Wuhan University of Science and Technology, 430080 Wuhan, ChinaHubei Key Laboratory of Mechanical Transmission and Manufacturing Engineering, Wuhan University of Science and Technology, 430080 Wuhan, China<p>Planetary gear trains (PGTs) are widely used in machinery such as vehicles, pulley blocks, wrist watches, machine tools, and robots. During the process of structural synthesis of PGTs using graph theory, isomorphism identification of graphs is an important and complicated problem. The reliability of the isomorphism detection method directly determines the accuracy of the synthesis result. In this paper, a novel isomorphism identification method for PGTs is proposed. First, a new weighted adjacent matrix is presented to describe the topological graph of PGTs, which has is unique in describing the structure of PGTs. Then, the weighted distance matrix is proposed and the sum of the matrix is obtained, which can determine whether the planetary gear trains is isomorphic or not. Eventually, the examples demonstrate that this new method can be accurately and effectively performed.</p>https://ms.copernicus.org/articles/12/193/2021/ms-12-193-2021.pdf |
| spellingShingle | W. Sun W. Sun R. Li R. Li J. Kong J. Kong A. Li A. Li A new method for isomorphism identification of planetary gear trains Mechanical Sciences |
| title | A new method for isomorphism identification of planetary gear trains |
| title_full | A new method for isomorphism identification of planetary gear trains |
| title_fullStr | A new method for isomorphism identification of planetary gear trains |
| title_full_unstemmed | A new method for isomorphism identification of planetary gear trains |
| title_short | A new method for isomorphism identification of planetary gear trains |
| title_sort | new method for isomorphism identification of planetary gear trains |
| url | https://ms.copernicus.org/articles/12/193/2021/ms-12-193-2021.pdf |
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