New Method for Isomorphism Identification of Planetary Gear Trains based on Traversing Loop
Isomorphism identification is one of the indispensable processes in structure synthesis of planetary gear trains. It is of great significance for the creation of novel planetary gear train with excellent transmission characteristics. A new method for identifying isomorphism of planetary gear trains...
| Main Authors: | , |
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| Format: | Article |
| Language: | zho |
| Published: |
Editorial Office of Journal of Mechanical Transmission
2020-12-01
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| Series: | Jixie chuandong |
| Subjects: | |
| Online Access: | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.12.010 |
| _version_ | 1826881491312836608 |
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| author | Jiawen Ding Wei Sun |
| author_facet | Jiawen Ding Wei Sun |
| author_sort | Jiawen Ding |
| collection | DOAJ |
| description | Isomorphism identification is one of the indispensable processes in structure synthesis of planetary gear trains. It is of great significance for the creation of novel planetary gear train with excellent transmission characteristics. A new method for identifying isomorphism of planetary gear trains based on traversing loops is proposed. Firstly，a new method for describing the topological diagram basic characteristics of planetary gear trains by the new loop matrix is proposed. This matrix contains all the information of the topological structure of planetary gear trains. Then，the rule to traverse loops and its priority is defined，to make sure that there is the uniqueness of description. Then，the loop code，the loop sequence and loop degree of planetary gear trains are obtained based on the principle of improved Hamming number and the new loop matrix. By distinguishing whether the structural constants of the loop code，the loop sequence and loop degree are equal，the isomorphism of the planetary gear trains is identified. Finally，the validity and reliability of the method are verified by many examples. |
| first_indexed | 2024-03-13T09:26:20Z |
| format | Article |
| id | doaj.art-996262cfd5d5407da4cafdc901bcff31 |
| institution | Directory Open Access Journal |
| issn | 1004-2539 |
| language | zho |
| last_indexed | 2025-02-17T02:45:58Z |
| publishDate | 2020-12-01 |
| publisher | Editorial Office of Journal of Mechanical Transmission |
| record_format | Article |
| series | Jixie chuandong |
| spelling | doaj.art-996262cfd5d5407da4cafdc901bcff312025-01-10T14:54:39ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392020-12-014461675491925New Method for Isomorphism Identification of Planetary Gear Trains based on Traversing LoopJiawen DingWei SunIsomorphism identification is one of the indispensable processes in structure synthesis of planetary gear trains. It is of great significance for the creation of novel planetary gear train with excellent transmission characteristics. A new method for identifying isomorphism of planetary gear trains based on traversing loops is proposed. Firstly，a new method for describing the topological diagram basic characteristics of planetary gear trains by the new loop matrix is proposed. This matrix contains all the information of the topological structure of planetary gear trains. Then，the rule to traverse loops and its priority is defined，to make sure that there is the uniqueness of description. Then，the loop code，the loop sequence and loop degree of planetary gear trains are obtained based on the principle of improved Hamming number and the new loop matrix. By distinguishing whether the structural constants of the loop code，the loop sequence and loop degree are equal，the isomorphism of the planetary gear trains is identified. Finally，the validity and reliability of the method are verified by many examples.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.12.010Planetary gear trainTraversing loopIsomorphism identificationImproved loop matrix |
| spellingShingle | Jiawen Ding Wei Sun New Method for Isomorphism Identification of Planetary Gear Trains based on Traversing Loop Jixie chuandong Planetary gear train Traversing loop Isomorphism identification Improved loop matrix |
| title | New Method for Isomorphism Identification of Planetary Gear Trains based on Traversing Loop |
| title_full | New Method for Isomorphism Identification of Planetary Gear Trains based on Traversing Loop |
| title_fullStr | New Method for Isomorphism Identification of Planetary Gear Trains based on Traversing Loop |
| title_full_unstemmed | New Method for Isomorphism Identification of Planetary Gear Trains based on Traversing Loop |
| title_short | New Method for Isomorphism Identification of Planetary Gear Trains based on Traversing Loop |
| title_sort | new method for isomorphism identification of planetary gear trains based on traversing loop |
| topic | Planetary gear train Traversing loop Isomorphism identification Improved loop matrix |
| url | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.12.010 |
| work_keys_str_mv | AT jiawending newmethodforisomorphismidentificationofplanetarygeartrainsbasedontraversingloop AT weisun newmethodforisomorphismidentificationofplanetarygeartrainsbasedontraversingloop |