Research of the Calculation Method of the Gear Time-varying Mesh Stiffness based on FEM

At present,the formula for calculating time-varying meshing stiffness of gears is often simplified according to the ISO experimental values. This method cannot accurately reflect the comprehensive characteristics of the meshing stiffness of different gears. Aiming at this problem, by using the APDL,...

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Main Authors: Zhang Bobo, Cai Li, Fang Jie, Zheng Yuan, Wang Tao, Xiong Yangshou
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2019-01-01
Series:Jixie chuandong
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Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2019.11.013
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author Zhang Bobo
Cai Li
Fang Jie
Zheng Yuan
Wang Tao
Xiong Yangshou
author_facet Zhang Bobo
Cai Li
Fang Jie
Zheng Yuan
Wang Tao
Xiong Yangshou
author_sort Zhang Bobo
collection DOAJ
description At present,the formula for calculating time-varying meshing stiffness of gears is often simplified according to the ISO experimental values. This method cannot accurately reflect the comprehensive characteristics of the meshing stiffness of different gears. Aiming at this problem, by using the APDL, a parametric finite element model of involute spur gear is established. The contact displacement of the gear tooth is obtained by contact analysis and the stiffness is calculated. The effect of rim thickness on stiffness is considered. The spur gear single tooth stiffness formula is obtained by least square method and the time-varying mesh stiffness formula of any tooth number meshing is derived. By comparing with the Ishikawa formula, potential energy method, Kuang method, the advantages and disadvantages of each calculation method in calculating the time-varying stiffness are illustrated. The results of FEA formula and ISO are compared to verify the reliability of the results.
format Article
id doaj-art-fa533e1b47ac4f2bbb7827fba4253c71
institution Kabale University
issn 1004-2539
language zho
publishDate 2019-01-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-fa533e1b47ac4f2bbb7827fba4253c712025-01-10T14:45:52ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392019-01-01747731611786Research of the Calculation Method of the Gear Time-varying Mesh Stiffness based on FEMZhang BoboCai LiFang JieZheng YuanWang TaoXiong YangshouAt present,the formula for calculating time-varying meshing stiffness of gears is often simplified according to the ISO experimental values. This method cannot accurately reflect the comprehensive characteristics of the meshing stiffness of different gears. Aiming at this problem, by using the APDL, a parametric finite element model of involute spur gear is established. The contact displacement of the gear tooth is obtained by contact analysis and the stiffness is calculated. The effect of rim thickness on stiffness is considered. The spur gear single tooth stiffness formula is obtained by least square method and the time-varying mesh stiffness formula of any tooth number meshing is derived. By comparing with the Ishikawa formula, potential energy method, Kuang method, the advantages and disadvantages of each calculation method in calculating the time-varying stiffness are illustrated. The results of FEA formula and ISO are compared to verify the reliability of the results.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2019.11.013Mesh stiffness
spellingShingle Zhang Bobo
Cai Li
Fang Jie
Zheng Yuan
Wang Tao
Xiong Yangshou
Research of the Calculation Method of the Gear Time-varying Mesh Stiffness based on FEM
Jixie chuandong
Mesh stiffness
title Research of the Calculation Method of the Gear Time-varying Mesh Stiffness based on FEM
title_full Research of the Calculation Method of the Gear Time-varying Mesh Stiffness based on FEM
title_fullStr Research of the Calculation Method of the Gear Time-varying Mesh Stiffness based on FEM
title_full_unstemmed Research of the Calculation Method of the Gear Time-varying Mesh Stiffness based on FEM
title_short Research of the Calculation Method of the Gear Time-varying Mesh Stiffness based on FEM
title_sort research of the calculation method of the gear time varying mesh stiffness based on fem
topic Mesh stiffness
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2019.11.013
work_keys_str_mv AT zhangbobo researchofthecalculationmethodofthegeartimevaryingmeshstiffnessbasedonfem
AT caili researchofthecalculationmethodofthegeartimevaryingmeshstiffnessbasedonfem
AT fangjie researchofthecalculationmethodofthegeartimevaryingmeshstiffnessbasedonfem
AT zhengyuan researchofthecalculationmethodofthegeartimevaryingmeshstiffnessbasedonfem
AT wangtao researchofthecalculationmethodofthegeartimevaryingmeshstiffnessbasedonfem
AT xiongyangshou researchofthecalculationmethodofthegeartimevaryingmeshstiffnessbasedonfem