Exact Solution of Mesh Stiffness and Analysis of Tooth Profile Parameters for Asymmetric Gear Pairs

Asymmetric gears are a new type of involute gears with different pressure angles on each side of a gear tooth. Gear tooth profile parameters have a great influence on the performance of a gear pair, such as its tooth profile shape, motion characteristics, bearing capacity, transmission efficiency, d...

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Main Authors: Yang Yong, Hu Junhua, Shi Zhiqi, Zhou Qinghua, Wu Jian
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2024-03-01
Series:Jixie chuandong
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Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2024.03.003
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author Yang Yong
Hu Junhua
Shi Zhiqi
Zhou Qinghua
Wu Jian
author_facet Yang Yong
Hu Junhua
Shi Zhiqi
Zhou Qinghua
Wu Jian
author_sort Yang Yong
collection DOAJ
description Asymmetric gears are a new type of involute gears with different pressure angles on each side of a gear tooth. Gear tooth profile parameters have a great influence on the performance of a gear pair, such as its tooth profile shape, motion characteristics, bearing capacity, transmission efficiency, dynamic characteristics and so on. Asymmetric tooth geometry formulas based upon a rack-type tool are derived following Litvin's vector approach. Then a precise calculation model for meshing stiffness of asymmetric gear is proposed and validated to be effective by comparing with a finite element model separately. Further, the influence of cutting tool tip fillet radius, gear pressure angle and contact ratio on gear meshing stiffness is quantified parametrically. The research results indicate that gear meshing stiffness can be improved effectively with the increase of pressure angle and cutting tool fillet radius. The influence of the pressure angle is relatively greater. With the increase of the pressure angle, not only will the thickness of tooth root increase, which is beneficial to improve the bearing capacity of the gear, but also the thickness of tooth tip and contact ratio will decrease, which is prone to evoke tooth tip fractures. In asymmetric tooth profile design, it is suggesting that the involute pressure angles are set according to actual working conditions.
format Article
id doaj-art-ddc8c8816dcb4292999c6e4391bfc698
institution Kabale University
issn 1004-2539
language zho
publishDate 2024-03-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-ddc8c8816dcb4292999c6e4391bfc6982025-01-10T15:00:06ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392024-03-0148182650737845Exact Solution of Mesh Stiffness and Analysis of Tooth Profile Parameters for Asymmetric Gear PairsYang YongHu JunhuaShi ZhiqiZhou QinghuaWu JianAsymmetric gears are a new type of involute gears with different pressure angles on each side of a gear tooth. Gear tooth profile parameters have a great influence on the performance of a gear pair, such as its tooth profile shape, motion characteristics, bearing capacity, transmission efficiency, dynamic characteristics and so on. Asymmetric tooth geometry formulas based upon a rack-type tool are derived following Litvin's vector approach. Then a precise calculation model for meshing stiffness of asymmetric gear is proposed and validated to be effective by comparing with a finite element model separately. Further, the influence of cutting tool tip fillet radius, gear pressure angle and contact ratio on gear meshing stiffness is quantified parametrically. The research results indicate that gear meshing stiffness can be improved effectively with the increase of pressure angle and cutting tool fillet radius. The influence of the pressure angle is relatively greater. With the increase of the pressure angle, not only will the thickness of tooth root increase, which is beneficial to improve the bearing capacity of the gear, but also the thickness of tooth tip and contact ratio will decrease, which is prone to evoke tooth tip fractures. In asymmetric tooth profile design, it is suggesting that the involute pressure angles are set according to actual working conditions.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2024.03.003Involute gearAsymmetric gearMeshing stiffnessRack cutter shape
spellingShingle Yang Yong
Hu Junhua
Shi Zhiqi
Zhou Qinghua
Wu Jian
Exact Solution of Mesh Stiffness and Analysis of Tooth Profile Parameters for Asymmetric Gear Pairs
Jixie chuandong
Involute gear
Asymmetric gear
Meshing stiffness
Rack cutter shape
title Exact Solution of Mesh Stiffness and Analysis of Tooth Profile Parameters for Asymmetric Gear Pairs
title_full Exact Solution of Mesh Stiffness and Analysis of Tooth Profile Parameters for Asymmetric Gear Pairs
title_fullStr Exact Solution of Mesh Stiffness and Analysis of Tooth Profile Parameters for Asymmetric Gear Pairs
title_full_unstemmed Exact Solution of Mesh Stiffness and Analysis of Tooth Profile Parameters for Asymmetric Gear Pairs
title_short Exact Solution of Mesh Stiffness and Analysis of Tooth Profile Parameters for Asymmetric Gear Pairs
title_sort exact solution of mesh stiffness and analysis of tooth profile parameters for asymmetric gear pairs
topic Involute gear
Asymmetric gear
Meshing stiffness
Rack cutter shape
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2024.03.003
work_keys_str_mv AT yangyong exactsolutionofmeshstiffnessandanalysisoftoothprofileparametersforasymmetricgearpairs
AT hujunhua exactsolutionofmeshstiffnessandanalysisoftoothprofileparametersforasymmetricgearpairs
AT shizhiqi exactsolutionofmeshstiffnessandanalysisoftoothprofileparametersforasymmetricgearpairs
AT zhouqinghua exactsolutionofmeshstiffnessandanalysisoftoothprofileparametersforasymmetricgearpairs
AT wujian exactsolutionofmeshstiffnessandanalysisoftoothprofileparametersforasymmetricgearpairs