A Method for Determining the Mesh Stiffness of Internal Gear by Combining Finite Element Method and Contact Theory

A method for determining the mesh stiffness of internal gears is proposed by using a combination of finite element method and the contact theory. The global deformation of contact point is separated by a full finite element model and a partial one. The local contact deformation is calculated by usin...

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Main Authors: Chang Lehao, Tian Hongwei, He Zhaoxia, Liu Geng
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2018-01-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2018.08.012
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author Chang Lehao
Tian Hongwei
He Zhaoxia
Liu Geng
author_facet Chang Lehao
Tian Hongwei
He Zhaoxia
Liu Geng
author_sort Chang Lehao
collection DOAJ
description A method for determining the mesh stiffness of internal gears is proposed by using a combination of finite element method and the contact theory. The global deformation of contact point is separated by a full finite element model and a partial one. The local contact deformation is calculated by using the analytical formula for a line contact problem. The mesh stiffness and load distribution can be obtained after solving the nonlinear contact equilibrium equations. Compared with the conventional finite element method,the proposed method has higher computational efficiency and stability. And it also overcomes the disadvantage that the analytical method is difficult to consider helical gears and different gear ring structures. Then the influences of constraints number and thickness of ring gears on the mesh stiffness are analyzed. This method can provide effective guidance for the design of the strength and dynamic characteristics of the internal gears.
format Article
id doaj-art-d6fb8a8c3a38413c8e8c35006c8248a0
institution Kabale University
issn 1004-2539
language zho
publishDate 2018-01-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-d6fb8a8c3a38413c8e8c35006c8248a02025-01-10T14:40:56ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392018-01-0142616429937896A Method for Determining the Mesh Stiffness of Internal Gear by Combining Finite Element Method and Contact TheoryChang LehaoTian HongweiHe ZhaoxiaLiu GengA method for determining the mesh stiffness of internal gears is proposed by using a combination of finite element method and the contact theory. The global deformation of contact point is separated by a full finite element model and a partial one. The local contact deformation is calculated by using the analytical formula for a line contact problem. The mesh stiffness and load distribution can be obtained after solving the nonlinear contact equilibrium equations. Compared with the conventional finite element method,the proposed method has higher computational efficiency and stability. And it also overcomes the disadvantage that the analytical method is difficult to consider helical gears and different gear ring structures. Then the influences of constraints number and thickness of ring gears on the mesh stiffness are analyzed. This method can provide effective guidance for the design of the strength and dynamic characteristics of the internal gears.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2018.08.012Internal gearMesh stiffnessFinite element methodContact theory
spellingShingle Chang Lehao
Tian Hongwei
He Zhaoxia
Liu Geng
A Method for Determining the Mesh Stiffness of Internal Gear by Combining Finite Element Method and Contact Theory
Jixie chuandong
Internal gear
Mesh stiffness
Finite element method
Contact theory
title A Method for Determining the Mesh Stiffness of Internal Gear by Combining Finite Element Method and Contact Theory
title_full A Method for Determining the Mesh Stiffness of Internal Gear by Combining Finite Element Method and Contact Theory
title_fullStr A Method for Determining the Mesh Stiffness of Internal Gear by Combining Finite Element Method and Contact Theory
title_full_unstemmed A Method for Determining the Mesh Stiffness of Internal Gear by Combining Finite Element Method and Contact Theory
title_short A Method for Determining the Mesh Stiffness of Internal Gear by Combining Finite Element Method and Contact Theory
title_sort method for determining the mesh stiffness of internal gear by combining finite element method and contact theory
topic Internal gear
Mesh stiffness
Finite element method
Contact theory
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2018.08.012
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