Bond Graph-Based Approach to Modeling Variable-Speed Gearboxes with Multi-Type Clutches
The modeling and simulation of gearboxes is important for analyzing the dynamic characteristics and designing control strategies of transmission systems. Variable-speed gearboxes include compound planetary gear trains and clutches, which complicates dynamic modeling. Here, a procedural bond graph-ba...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-06-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/12/6181 |
| _version_ | 1827662527211765760 |
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| author | Jiangming Wu Hongzhi Yan Shuangqi Liu Yin Zhang Wuzhong Tan |
| author_facet | Jiangming Wu Hongzhi Yan Shuangqi Liu Yin Zhang Wuzhong Tan |
| author_sort | Jiangming Wu |
| collection | DOAJ |
| description | The modeling and simulation of gearboxes is important for analyzing the dynamic characteristics and designing control strategies of transmission systems. Variable-speed gearboxes include compound planetary gear trains and clutches, which complicates dynamic modeling. Here, a procedural bond graph-based modeling method that considers many uncertainties is proposed. The proposed method yields a constant system–structure model. First, bond graph models of the two most common planetary gears were summarized, and were used as sub-models of a compound planetary gear train. Then, the Karnopp friction sub-model of the friction clutch and a relative angular displacement sub-model of the one-way clutch were constructed. Based on the dynamic coupling between the sub-models, the modeling steps of the gearbox, including the compound planetary gear train friction clutch one-way clutch coupling system, are described in detail. Next, the main sources of uncertainties of gearbox were analyzed and the simulation methods were given. Finally, the novel uncertain bond graph model was used to simulate the double planetary gearbox; the transmission ratio before and after the shift was 2.42 and 1.72, compared with the design values of 2.41 and 1.71, respectively; the deviation is within 5.8%; The average rotating speeds of the output shaft fluctuated by 6 and 2.5% respectively, which was within a reasonable range, so the effectiveness of the method is verified. |
| first_indexed | 2024-03-10T00:28:16Z |
| format | Article |
| id | doaj.art-0b07b51448e542a29c46c1e0a13c6f06 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T00:28:16Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-0b07b51448e542a29c46c1e0a13c6f062023-11-23T15:29:09ZengMDPI AGApplied Sciences2076-34172022-06-011212618110.3390/app12126181Bond Graph-Based Approach to Modeling Variable-Speed Gearboxes with Multi-Type ClutchesJiangming Wu0Hongzhi Yan1Shuangqi Liu2Yin Zhang3Wuzhong Tan4School of Mechanical and Electrical Engineering, Central South University, Changsha 410083, ChinaSchool of Mechanical and Electrical Engineering, Central South University, Changsha 410083, ChinaSchool of Mechanical and Electrical Engineering, Central South University, Changsha 410083, ChinaSchool of Mechanical and Electrical Engineering, Central South University, Changsha 410083, ChinaSchool of Mechanical and Electrical Engineering, Central South University, Changsha 410083, ChinaThe modeling and simulation of gearboxes is important for analyzing the dynamic characteristics and designing control strategies of transmission systems. Variable-speed gearboxes include compound planetary gear trains and clutches, which complicates dynamic modeling. Here, a procedural bond graph-based modeling method that considers many uncertainties is proposed. The proposed method yields a constant system–structure model. First, bond graph models of the two most common planetary gears were summarized, and were used as sub-models of a compound planetary gear train. Then, the Karnopp friction sub-model of the friction clutch and a relative angular displacement sub-model of the one-way clutch were constructed. Based on the dynamic coupling between the sub-models, the modeling steps of the gearbox, including the compound planetary gear train friction clutch one-way clutch coupling system, are described in detail. Next, the main sources of uncertainties of gearbox were analyzed and the simulation methods were given. Finally, the novel uncertain bond graph model was used to simulate the double planetary gearbox; the transmission ratio before and after the shift was 2.42 and 1.72, compared with the design values of 2.41 and 1.71, respectively; the deviation is within 5.8%; The average rotating speeds of the output shaft fluctuated by 6 and 2.5% respectively, which was within a reasonable range, so the effectiveness of the method is verified.https://www.mdpi.com/2076-3417/12/12/6181planetary gear trainsclutchgearboxuncertain bond graphdynamic system modeling |
| spellingShingle | Jiangming Wu Hongzhi Yan Shuangqi Liu Yin Zhang Wuzhong Tan Bond Graph-Based Approach to Modeling Variable-Speed Gearboxes with Multi-Type Clutches Applied Sciences planetary gear trains clutch gearbox uncertain bond graph dynamic system modeling |
| title | Bond Graph-Based Approach to Modeling Variable-Speed Gearboxes with Multi-Type Clutches |
| title_full | Bond Graph-Based Approach to Modeling Variable-Speed Gearboxes with Multi-Type Clutches |
| title_fullStr | Bond Graph-Based Approach to Modeling Variable-Speed Gearboxes with Multi-Type Clutches |
| title_full_unstemmed | Bond Graph-Based Approach to Modeling Variable-Speed Gearboxes with Multi-Type Clutches |
| title_short | Bond Graph-Based Approach to Modeling Variable-Speed Gearboxes with Multi-Type Clutches |
| title_sort | bond graph based approach to modeling variable speed gearboxes with multi type clutches |
| topic | planetary gear trains clutch gearbox uncertain bond graph dynamic system modeling |
| url | https://www.mdpi.com/2076-3417/12/12/6181 |
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