An Inverse Analysis Method of Transmission Accuracy of Harmonic Reducer based on Multi-factor Coupling

Transmission error of harmonic reducer is coupled by eccentric vectors such as geometric eccentricity and motion eccentricity during parts machining and assembly, and has frequency domain characteristics. The probability of transmission error distribution caused by various single factors conforms to...

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Main Authors: Linna Zhao, Long Wang, Jin Fang, Deyong Li, Kai Wang, Haiyue Li, Huanbin Xu, Guangqiang Xing, Yue Zhang, Ning Wang
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2021-03-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2021.03.004
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author Linna Zhao
Long Wang
Jin Fang
Deyong Li
Kai Wang
Haiyue Li
Huanbin Xu
Guangqiang Xing
Yue Zhang
Ning Wang
author_facet Linna Zhao
Long Wang
Jin Fang
Deyong Li
Kai Wang
Haiyue Li
Huanbin Xu
Guangqiang Xing
Yue Zhang
Ning Wang
author_sort Linna Zhao
collection DOAJ
description Transmission error of harmonic reducer is coupled by eccentric vectors such as geometric eccentricity and motion eccentricity during parts machining and assembly, and has frequency domain characteristics. The probability of transmission error distribution caused by various single factors conforms to Rayleigh distribution. The multi-factor coupling model of transmission error based on Rayleigh distribution is established through spatial kinematics and harmonic engagement principle, and a prediction model of transmission error of harmonic reducer with confidence interval up to 99% is completed. The weight coefficient of each transmission error source can be calculated by the prediction model. An inverse analysis method based on weight coefficient of error source to re-optimize allocation of transmission error from control of machining and manufacturing accuracy of parts is proposed, which can reduce the difficulty and cost of machining and manufacturing to the greatest extent while meeting the design index of transmission error and has important engineering application value. Finally, the reverse theoretical analysis and experimental verification comparison of transmission accuracy of 40 type harmonic gear reducer are carried out. The measured results agree with the theoretical calculation values.
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spelling doaj.art-add4ea73a6164d209c7a00fe9f658b322025-01-10T14:53:53ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392021-03-014519247492402An Inverse Analysis Method of Transmission Accuracy of Harmonic Reducer based on Multi-factor CouplingLinna ZhaoLong WangJin FangDeyong LiKai WangHaiyue LiHuanbin XuGuangqiang XingYue ZhangNing WangTransmission error of harmonic reducer is coupled by eccentric vectors such as geometric eccentricity and motion eccentricity during parts machining and assembly, and has frequency domain characteristics. The probability of transmission error distribution caused by various single factors conforms to Rayleigh distribution. The multi-factor coupling model of transmission error based on Rayleigh distribution is established through spatial kinematics and harmonic engagement principle, and a prediction model of transmission error of harmonic reducer with confidence interval up to 99% is completed. The weight coefficient of each transmission error source can be calculated by the prediction model. An inverse analysis method based on weight coefficient of error source to re-optimize allocation of transmission error from control of machining and manufacturing accuracy of parts is proposed, which can reduce the difficulty and cost of machining and manufacturing to the greatest extent while meeting the design index of transmission error and has important engineering application value. Finally, the reverse theoretical analysis and experimental verification comparison of transmission accuracy of 40 type harmonic gear reducer are carried out. The measured results agree with the theoretical calculation values.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2021.03.004Harmonic reducerTransmission accuracyProbability modelInverse analysis
spellingShingle Linna Zhao
Long Wang
Jin Fang
Deyong Li
Kai Wang
Haiyue Li
Huanbin Xu
Guangqiang Xing
Yue Zhang
Ning Wang
An Inverse Analysis Method of Transmission Accuracy of Harmonic Reducer based on Multi-factor Coupling
Jixie chuandong
Harmonic reducer
Transmission accuracy
Probability model
Inverse analysis
title An Inverse Analysis Method of Transmission Accuracy of Harmonic Reducer based on Multi-factor Coupling
title_full An Inverse Analysis Method of Transmission Accuracy of Harmonic Reducer based on Multi-factor Coupling
title_fullStr An Inverse Analysis Method of Transmission Accuracy of Harmonic Reducer based on Multi-factor Coupling
title_full_unstemmed An Inverse Analysis Method of Transmission Accuracy of Harmonic Reducer based on Multi-factor Coupling
title_short An Inverse Analysis Method of Transmission Accuracy of Harmonic Reducer based on Multi-factor Coupling
title_sort inverse analysis method of transmission accuracy of harmonic reducer based on multi factor coupling
topic Harmonic reducer
Transmission accuracy
Probability model
Inverse analysis
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2021.03.004
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