Robust Optimization Design for Combined Tooth Surface Modification of Helical Gear Pair Considering Load Variation Domain
In engineering practice, the load condition of gear pairs is usually not constant, but located in a variable domain. In order to provide an effective method to solve tooth surface modification design of helical gear pairs considering the load variation domain, firstly, the loaded tooth contact equat...
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| Format: | Article |
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Editorial Office of Journal of Mechanical Transmission
2024-08-01
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| Series: | Jixie chuandong |
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| Online Access: | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2024.08.012 |
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| author | Xu Wenbo Yuan Bing Ma Guoliang Yu Wentao |
| author_facet | Xu Wenbo Yuan Bing Ma Guoliang Yu Wentao |
| author_sort | Xu Wenbo |
| collection | DOAJ |
| description | In engineering practice, the load condition of gear pairs is usually not constant, but located in a variable domain. In order to provide an effective method to solve tooth surface modification design of helical gear pairs considering the load variation domain, firstly, the loaded tooth contact equations are constructed using the flexibility matrix method, the efficient model for calculating the flexibility of potential contact points on tooth surface based on the energy and slicing method is established, and the fast calculation model of transmission error of modified helical gear pairs is developed. Secondly, combining tooth profile modification, lead modification and bias modification, based on the robust optimization design theory, a multi-objective mathematical model of combined modification parameters considering the load variation region is proposed aiming to minimize the expectation and variance of the transmission error fluctuations. And then, the non-dominated sorting genetic algorithm with elitist strategy is combined with the calculation model of transmission error, the Pareto frontier solutions of the combined modification parameters are solved, and the robust solution which makes the expectation and variance of transmission error fluctuations smaller is selected. Finally, the transmission error fluctuation of the robust modified helical gear pair considering the load variation domain is investigated. The results show that the modified tooth surface obtained by the proposed method is robust to the load variation. |
| format | Article |
| id | doaj-art-81ae7c714d424af19d4f622a9a177154 |
| institution | Kabale University |
| issn | 1004-2539 |
| language | zho |
| publishDate | 2024-08-01 |
| publisher | Editorial Office of Journal of Mechanical Transmission |
| record_format | Article |
| series | Jixie chuandong |
| spelling | doaj-art-81ae7c714d424af19d4f622a9a1771542025-01-10T15:01:18ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392024-08-0148899667631944Robust Optimization Design for Combined Tooth Surface Modification of Helical Gear Pair Considering Load Variation DomainXu WenboYuan BingMa GuoliangYu WentaoIn engineering practice, the load condition of gear pairs is usually not constant, but located in a variable domain. In order to provide an effective method to solve tooth surface modification design of helical gear pairs considering the load variation domain, firstly, the loaded tooth contact equations are constructed using the flexibility matrix method, the efficient model for calculating the flexibility of potential contact points on tooth surface based on the energy and slicing method is established, and the fast calculation model of transmission error of modified helical gear pairs is developed. Secondly, combining tooth profile modification, lead modification and bias modification, based on the robust optimization design theory, a multi-objective mathematical model of combined modification parameters considering the load variation region is proposed aiming to minimize the expectation and variance of the transmission error fluctuations. And then, the non-dominated sorting genetic algorithm with elitist strategy is combined with the calculation model of transmission error, the Pareto frontier solutions of the combined modification parameters are solved, and the robust solution which makes the expectation and variance of transmission error fluctuations smaller is selected. Finally, the transmission error fluctuation of the robust modified helical gear pair considering the load variation domain is investigated. The results show that the modified tooth surface obtained by the proposed method is robust to the load variation.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2024.08.012Helical gearGear modificationRobust optimizationContact stressTransmission error |
| spellingShingle | Xu Wenbo Yuan Bing Ma Guoliang Yu Wentao Robust Optimization Design for Combined Tooth Surface Modification of Helical Gear Pair Considering Load Variation Domain Jixie chuandong Helical gear Gear modification Robust optimization Contact stress Transmission error |
| title | Robust Optimization Design for Combined Tooth Surface Modification of Helical Gear Pair Considering Load Variation Domain |
| title_full | Robust Optimization Design for Combined Tooth Surface Modification of Helical Gear Pair Considering Load Variation Domain |
| title_fullStr | Robust Optimization Design for Combined Tooth Surface Modification of Helical Gear Pair Considering Load Variation Domain |
| title_full_unstemmed | Robust Optimization Design for Combined Tooth Surface Modification of Helical Gear Pair Considering Load Variation Domain |
| title_short | Robust Optimization Design for Combined Tooth Surface Modification of Helical Gear Pair Considering Load Variation Domain |
| title_sort | robust optimization design for combined tooth surface modification of helical gear pair considering load variation domain |
| topic | Helical gear Gear modification Robust optimization Contact stress Transmission error |
| url | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2024.08.012 |
| work_keys_str_mv | AT xuwenbo robustoptimizationdesignforcombinedtoothsurfacemodificationofhelicalgearpairconsideringloadvariationdomain AT yuanbing robustoptimizationdesignforcombinedtoothsurfacemodificationofhelicalgearpairconsideringloadvariationdomain AT maguoliang robustoptimizationdesignforcombinedtoothsurfacemodificationofhelicalgearpairconsideringloadvariationdomain AT yuwentao robustoptimizationdesignforcombinedtoothsurfacemodificationofhelicalgearpairconsideringloadvariationdomain |