Calculation Method of Planetary Gear Train Transmission Ratio based on Adjacency Matrix
There are many types of planetary gear trains， and each one corresponds to a transmission ratio calculation formula， which makes great difficulties in the comprehensive research of planetary gear trains and the development of general design software. According to the structural diagram of the planet...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Transmission
2019-05-01
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| Series: | Jixie chuandong |
| Subjects: | |
| Online Access: | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2019.05.010 |
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| author | Zhao Wang Xinping Wang Jiexin Zhang |
| author_facet | Zhao Wang Xinping Wang Jiexin Zhang |
| author_sort | Zhao Wang |
| collection | DOAJ |
| description | There are many types of planetary gear trains， and each one corresponds to a transmission ratio calculation formula， which makes great difficulties in the comprehensive research of planetary gear trains and the development of general design software. According to the structural diagram of the planetary gear train， the corresponding adjacency matrix is written. Then， the basic loop of the train is searched from the adjacency matrix to construct the basic loop matrix. Finally， the basic loop matrix is transformed into the coefficient matrix of the equation of motion. And use MATLAB to automate this algorithm and solve the equation of motion to obtain the gear ratio of the planetary gear train. |
| format | Article |
| id | doaj-art-2ba88c0a52a943d5b0dd339aa2d476b9 |
| institution | Kabale University |
| issn | 1004-2539 |
| language | zho |
| publishDate | 2019-05-01 |
| publisher | Editorial Office of Journal of Mechanical Transmission |
| record_format | Article |
| series | Jixie chuandong |
| spelling | doaj-art-2ba88c0a52a943d5b0dd339aa2d476b92025-01-10T14:00:50ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392019-05-0143475130645770Calculation Method of Planetary Gear Train Transmission Ratio based on Adjacency MatrixZhao WangXinping WangJiexin ZhangThere are many types of planetary gear trains， and each one corresponds to a transmission ratio calculation formula， which makes great difficulties in the comprehensive research of planetary gear trains and the development of general design software. According to the structural diagram of the planetary gear train， the corresponding adjacency matrix is written. Then， the basic loop of the train is searched from the adjacency matrix to construct the basic loop matrix. Finally， the basic loop matrix is transformed into the coefficient matrix of the equation of motion. And use MATLAB to automate this algorithm and solve the equation of motion to obtain the gear ratio of the planetary gear train.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2019.05.010Planetary gear trainGraph modelAdjacency matrixFundamental circuitTransmission ratio |
| spellingShingle | Zhao Wang Xinping Wang Jiexin Zhang Calculation Method of Planetary Gear Train Transmission Ratio based on Adjacency Matrix Jixie chuandong Planetary gear train Graph model Adjacency matrix Fundamental circuit Transmission ratio |
| title | Calculation Method of Planetary Gear Train Transmission Ratio based on Adjacency Matrix |
| title_full | Calculation Method of Planetary Gear Train Transmission Ratio based on Adjacency Matrix |
| title_fullStr | Calculation Method of Planetary Gear Train Transmission Ratio based on Adjacency Matrix |
| title_full_unstemmed | Calculation Method of Planetary Gear Train Transmission Ratio based on Adjacency Matrix |
| title_short | Calculation Method of Planetary Gear Train Transmission Ratio based on Adjacency Matrix |
| title_sort | calculation method of planetary gear train transmission ratio based on adjacency matrix |
| topic | Planetary gear train Graph model Adjacency matrix Fundamental circuit Transmission ratio |
| url | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2019.05.010 |
| work_keys_str_mv | AT zhaowang calculationmethodofplanetarygeartraintransmissionratiobasedonadjacencymatrix AT xinpingwang calculationmethodofplanetarygeartraintransmissionratiobasedonadjacencymatrix AT jiexinzhang calculationmethodofplanetarygeartraintransmissionratiobasedonadjacencymatrix |