Optimization of Gear Modification Amount based on Polynomial Response Surface Proxy Model

Aiming at the problem that gear modification is difficult to determine under the influence of multiple factors, the gear modification is optimized based on the polynomial response surface proxy model and particle swarm optimization algorithm. Firstly, considering the influence of the shaft and the b...

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Main Authors: Yonghua Li, Wusong Wei, Xu Zhang
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2020-11-01
Series:Jixie chuandong
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Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.11.005
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author Yonghua Li
Wusong Wei
Xu Zhang
author_facet Yonghua Li
Wusong Wei
Xu Zhang
author_sort Yonghua Li
collection DOAJ
description Aiming at the problem that gear modification is difficult to determine under the influence of multiple factors, the gear modification is optimized based on the polynomial response surface proxy model and particle swarm optimization algorithm. Firstly, considering the influence of the shaft and the bearing, the parametric modeling of the gear transmission device is carried out, and the transmission linear error, the maximum contact stress of the tooth surface and the unit normal load of the gear model are simulated and analyzed to determine gear modification mode for composite modification. Secondly, according to the model parameters and analysis results, the range of each shape modification parameter is determined, the orthogonal test design on the practice parameter is performed, and the test data is fitted to establish a polynomial response surface model. Finally, the particle swarm optimization algorithm is used to optimize the response surface model to obtain the optimal amount of gear modification. The results show that the fitted polynomial response surface proxy model has good accuracy and can accurately simulate the relationship between the gear modification parameters and the maximum contact stress. The optimal modification amount obtained by the particle swarm algorithm is used for gear modification, the maximum contact stress of the gear meshing process is reduced, the transmission error is reduced, and the eccentric load phenomenon is effectively improved.
format Article
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institution Kabale University
issn 1004-2539
language zho
publishDate 2020-11-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-80d130b3e245439db2b53867252d727c2025-01-10T14:54:58ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392020-11-0144273429792336Optimization of Gear Modification Amount based on Polynomial Response Surface Proxy ModelYonghua LiWusong WeiXu ZhangAiming at the problem that gear modification is difficult to determine under the influence of multiple factors, the gear modification is optimized based on the polynomial response surface proxy model and particle swarm optimization algorithm. Firstly, considering the influence of the shaft and the bearing, the parametric modeling of the gear transmission device is carried out, and the transmission linear error, the maximum contact stress of the tooth surface and the unit normal load of the gear model are simulated and analyzed to determine gear modification mode for composite modification. Secondly, according to the model parameters and analysis results, the range of each shape modification parameter is determined, the orthogonal test design on the practice parameter is performed, and the test data is fitted to establish a polynomial response surface model. Finally, the particle swarm optimization algorithm is used to optimize the response surface model to obtain the optimal amount of gear modification. The results show that the fitted polynomial response surface proxy model has good accuracy and can accurately simulate the relationship between the gear modification parameters and the maximum contact stress. The optimal modification amount obtained by the particle swarm algorithm is used for gear modification, the maximum contact stress of the gear meshing process is reduced, the transmission error is reduced, and the eccentric load phenomenon is effectively improved.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.11.005Composite modificationOrthogonal test methodPolynomial response surfaceParticle swarm optimization
spellingShingle Yonghua Li
Wusong Wei
Xu Zhang
Optimization of Gear Modification Amount based on Polynomial Response Surface Proxy Model
Jixie chuandong
Composite modification
Orthogonal test method
Polynomial response surface
Particle swarm optimization
title Optimization of Gear Modification Amount based on Polynomial Response Surface Proxy Model
title_full Optimization of Gear Modification Amount based on Polynomial Response Surface Proxy Model
title_fullStr Optimization of Gear Modification Amount based on Polynomial Response Surface Proxy Model
title_full_unstemmed Optimization of Gear Modification Amount based on Polynomial Response Surface Proxy Model
title_short Optimization of Gear Modification Amount based on Polynomial Response Surface Proxy Model
title_sort optimization of gear modification amount based on polynomial response surface proxy model
topic Composite modification
Orthogonal test method
Polynomial response surface
Particle swarm optimization
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.11.005
work_keys_str_mv AT yonghuali optimizationofgearmodificationamountbasedonpolynomialresponsesurfaceproxymodel
AT wusongwei optimizationofgearmodificationamountbasedonpolynomialresponsesurfaceproxymodel
AT xuzhang optimizationofgearmodificationamountbasedonpolynomialresponsesurfaceproxymodel