Proximate Model of Gear Drive Units Based on Dimensional Analysis for Wear Process Evaluation

Excessive wear of gears will not only cause noise and vibration in the transmission system, but also reduce transmission efficiency and accuracy in severe cases, causing irreversible losses to the transmission system. It is desirable to develop a micro-gear unit model for evaluating the wear process...

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Main Authors: Wenhua Wang, Wei Yuan, Yuqi Zhu, Qianjian Guo, Baotao Chi, Haixiao Wang, Xianhai Yang
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Machines
Subjects:
Online Access:https://www.mdpi.com/2075-1702/10/6/474
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author Wenhua Wang
Wei Yuan
Yuqi Zhu
Qianjian Guo
Baotao Chi
Haixiao Wang
Xianhai Yang
author_facet Wenhua Wang
Wei Yuan
Yuqi Zhu
Qianjian Guo
Baotao Chi
Haixiao Wang
Xianhai Yang
author_sort Wenhua Wang
collection DOAJ
description Excessive wear of gears will not only cause noise and vibration in the transmission system, but also reduce transmission efficiency and accuracy in severe cases, causing irreversible losses to the transmission system. It is desirable to develop a micro-gear unit model for evaluating the wear process and predicting the failure time of large gear units (such as wind turbine gear units), reducing losses due to sudden failures. Based on the Buckingham pi-theorem of dimensional analysis and Hertz formula, the similarity ratio of each parameter of the gear wear process was proposed. The maximum equivalent stress is calculated by establishing the FEM model and comparing it with the theoretical contact stress calculated by the Hertz formula, and the results were relatively consistent. Two pairs of gear friction and wear experiments with similar parameters were carried out to compare the wear evolution performance of two similar gears. The friction performance process of the test gears was observed by particle counter and analytical ferrograph. The results show that the friction and wear processes of the two groups of gears with similar parameters have a certain correlation, which was consistent with the proposed similarity model. The similarity model combined with the observation results of abrasive particles has a certain application value for the evaluation of the wear state of the transmission system.
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spelling doaj.art-7d1764a3cb8f4bf6aba37c0575aaf2102023-11-23T17:39:41ZengMDPI AGMachines2075-17022022-06-0110647410.3390/machines10060474Proximate Model of Gear Drive Units Based on Dimensional Analysis for Wear Process EvaluationWenhua Wang0Wei Yuan1Yuqi Zhu2Qianjian Guo3Baotao Chi4Haixiao Wang5Xianhai Yang6School of Mechanical Engineering, Shandong University of Technology, Zibo 255049, ChinaSchool of Mechanical Engineering, Shandong University of Technology, Zibo 255049, ChinaSchool of Mechanical Engineering, Shandong University of Technology, Zibo 255049, ChinaSchool of Mechanical Engineering, Shandong University of Technology, Zibo 255049, ChinaSchool of Mechanical Engineering, Shandong University of Technology, Zibo 255049, ChinaSchool of Mechanical Engineering, Shandong University of Technology, Zibo 255049, ChinaSchool of Mechanical Engineering, Shandong University of Technology, Zibo 255049, ChinaExcessive wear of gears will not only cause noise and vibration in the transmission system, but also reduce transmission efficiency and accuracy in severe cases, causing irreversible losses to the transmission system. It is desirable to develop a micro-gear unit model for evaluating the wear process and predicting the failure time of large gear units (such as wind turbine gear units), reducing losses due to sudden failures. Based on the Buckingham pi-theorem of dimensional analysis and Hertz formula, the similarity ratio of each parameter of the gear wear process was proposed. The maximum equivalent stress is calculated by establishing the FEM model and comparing it with the theoretical contact stress calculated by the Hertz formula, and the results were relatively consistent. Two pairs of gear friction and wear experiments with similar parameters were carried out to compare the wear evolution performance of two similar gears. The friction performance process of the test gears was observed by particle counter and analytical ferrograph. The results show that the friction and wear processes of the two groups of gears with similar parameters have a certain correlation, which was consistent with the proposed similarity model. The similarity model combined with the observation results of abrasive particles has a certain application value for the evaluation of the wear state of the transmission system.https://www.mdpi.com/2075-1702/10/6/474dimensional analysiswear processparticle monitoringgear drive unit
spellingShingle Wenhua Wang
Wei Yuan
Yuqi Zhu
Qianjian Guo
Baotao Chi
Haixiao Wang
Xianhai Yang
Proximate Model of Gear Drive Units Based on Dimensional Analysis for Wear Process Evaluation
Machines
dimensional analysis
wear process
particle monitoring
gear drive unit
title Proximate Model of Gear Drive Units Based on Dimensional Analysis for Wear Process Evaluation
title_full Proximate Model of Gear Drive Units Based on Dimensional Analysis for Wear Process Evaluation
title_fullStr Proximate Model of Gear Drive Units Based on Dimensional Analysis for Wear Process Evaluation
title_full_unstemmed Proximate Model of Gear Drive Units Based on Dimensional Analysis for Wear Process Evaluation
title_short Proximate Model of Gear Drive Units Based on Dimensional Analysis for Wear Process Evaluation
title_sort proximate model of gear drive units based on dimensional analysis for wear process evaluation
topic dimensional analysis
wear process
particle monitoring
gear drive unit
url https://www.mdpi.com/2075-1702/10/6/474
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AT qianjianguo proximatemodelofgeardriveunitsbasedondimensionalanalysisforwearprocessevaluation
AT baotaochi proximatemodelofgeardriveunitsbasedondimensionalanalysisforwearprocessevaluation
AT haixiaowang proximatemodelofgeardriveunitsbasedondimensionalanalysisforwearprocessevaluation
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