Accurate Modeling and Application of Time-varying Mesh Stiffness of Spur Gear Pair based on Geometry and Potential Energy Method

Time-varying Mesh Stiffness (TVMS) is one of the important parameter variables in the study of gear system dynamics. It is crucial to accurately simulate TVMS for the analysis of dynamic performance response indexes of gear transmission system such as vibration and noise. On the basis of meshing kin...

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Main Authors: Wang Xiaopeng, Liu Shijun Li Jiqiang
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2020-03-01
Series:Jixie chuandong
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Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.03.015
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author Wang Xiaopeng
Liu Shijun Li Jiqiang
author_facet Wang Xiaopeng
Liu Shijun Li Jiqiang
author_sort Wang Xiaopeng
collection DOAJ
description Time-varying Mesh Stiffness (TVMS) is one of the important parameter variables in the study of gear system dynamics. It is crucial to accurately simulate TVMS for the analysis of dynamic performance response indexes of gear transmission system such as vibration and noise. On the basis of meshing kinematic equation and geometric position relation of involute gear,one accurate modeling method of spur gear pairs based on geometry and potential energy method is proposed. The meshing limit boundary conditions of standard involute profile is analyzed in real-time and effectively,and a computational analysis model of TVMS from physical model to mathematical model is constructed which combined with the potential energy method. The TVMS of spur gear pair is calculated accurately by numerical calculation method,and an example is given to illustrate its application. On the allowable range of bearing capacity for gear design,it is necessary to select tooth width and shaft diameter reasonably which makes minor adjustments for TVMS. It is also necessary to make further efforts to optimize stiffness and improve anti-deflection performance of rotor system which provide the later stage of gear system dynamics calculation as a basic application research.
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institution Kabale University
issn 1004-2539
language zho
publishDate 2020-03-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-4b1d0cee51394234a5cf1b3f03d7cfac2025-01-10T14:44:20ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392020-03-0144919631442254Accurate Modeling and Application of Time-varying Mesh Stiffness of Spur Gear Pair based on Geometry and Potential Energy MethodWang XiaopengLiu Shijun Li JiqiangTime-varying Mesh Stiffness (TVMS) is one of the important parameter variables in the study of gear system dynamics. It is crucial to accurately simulate TVMS for the analysis of dynamic performance response indexes of gear transmission system such as vibration and noise. On the basis of meshing kinematic equation and geometric position relation of involute gear,one accurate modeling method of spur gear pairs based on geometry and potential energy method is proposed. The meshing limit boundary conditions of standard involute profile is analyzed in real-time and effectively,and a computational analysis model of TVMS from physical model to mathematical model is constructed which combined with the potential energy method. The TVMS of spur gear pair is calculated accurately by numerical calculation method,and an example is given to illustrate its application. On the allowable range of bearing capacity for gear design,it is necessary to select tooth width and shaft diameter reasonably which makes minor adjustments for TVMS. It is also necessary to make further efforts to optimize stiffness and improve anti-deflection performance of rotor system which provide the later stage of gear system dynamics calculation as a basic application research.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.03.015Geometry
spellingShingle Wang Xiaopeng
Liu Shijun Li Jiqiang
Accurate Modeling and Application of Time-varying Mesh Stiffness of Spur Gear Pair based on Geometry and Potential Energy Method
Jixie chuandong
Geometry
title Accurate Modeling and Application of Time-varying Mesh Stiffness of Spur Gear Pair based on Geometry and Potential Energy Method
title_full Accurate Modeling and Application of Time-varying Mesh Stiffness of Spur Gear Pair based on Geometry and Potential Energy Method
title_fullStr Accurate Modeling and Application of Time-varying Mesh Stiffness of Spur Gear Pair based on Geometry and Potential Energy Method
title_full_unstemmed Accurate Modeling and Application of Time-varying Mesh Stiffness of Spur Gear Pair based on Geometry and Potential Energy Method
title_short Accurate Modeling and Application of Time-varying Mesh Stiffness of Spur Gear Pair based on Geometry and Potential Energy Method
title_sort accurate modeling and application of time varying mesh stiffness of spur gear pair based on geometry and potential energy method
topic Geometry
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.03.015
work_keys_str_mv AT wangxiaopeng accuratemodelingandapplicationoftimevaryingmeshstiffnessofspurgearpairbasedongeometryandpotentialenergymethod
AT liushijunlijiqiang accuratemodelingandapplicationoftimevaryingmeshstiffnessofspurgearpairbasedongeometryandpotentialenergymethod