Design and finite element analysis for helical gears with pinion circular arc teeth and gear parabolic curve teeth

A novel point contact gear drive with pinion circular arc teeth and gear parabolic curve teeth is proposed based on the application of two mismatched rack cutters. The rack cutter for generating a pinion is of normal circular arc profile, and the rack cutter for generating a gear is of normal parabo...

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Main Authors: Yan'e GAO, Bingkui CHEN, Rulong TAN, Yongqing ZHANG
Format: Article
Language:English
Published: The Japan Society of Mechanical Engineers 2016-02-01
Series:Journal of Advanced Mechanical Design, Systems, and Manufacturing
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/jamdsm/10/1/10_2016jamdsm0009/_pdf/-char/en
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author Yan'e GAO
Bingkui CHEN
Rulong TAN
Yongqing ZHANG
author_facet Yan'e GAO
Bingkui CHEN
Rulong TAN
Yongqing ZHANG
author_sort Yan'e GAO
collection DOAJ
description A novel point contact gear drive with pinion circular arc teeth and gear parabolic curve teeth is proposed based on the application of two mismatched rack cutters. The rack cutter for generating a pinion is of normal circular arc profile, and the rack cutter for generating a gear is of normal parabolic curve profile which is tangent to the circular arc of the pinion. The number of contact points can be one or two by changing the design parameter of the parabolic curve. Equations of tooth surfaces are derived based on coordinate transformation and gear geometry theory. Computer program is developed to solve the tooth surface equations and establish the solid models. To find out the advantages and disadvantages of the proposed gear drives, the gear stress distribution and the contact deformation are investigated by using the finite element analysis. Three examples of the proposed gears and circular-arc gears are present to demonstrate the influence of the profile design parameters and the contact positions on the stress distribution. The result shows that the proposed gear drives can reduce 23.8%-35.3% contact stress or 23.2%-29.5% von Mises contact stress.
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spelling doaj.art-902b04d7b65c448e9eb0c14d678182822022-12-22T01:24:24ZengThe Japan Society of Mechanical EngineersJournal of Advanced Mechanical Design, Systems, and Manufacturing1881-30542016-02-01101JAMDSM0009JAMDSM000910.1299/jamdsm.2016jamdsm0009jamdsmDesign and finite element analysis for helical gears with pinion circular arc teeth and gear parabolic curve teethYan'e GAO0Bingkui CHEN1Rulong TAN2Yongqing ZHANG3College of Engineering and Technology, Southwest UniversityThe State Key Laboratory of Mechanical Transmission, Chongqing UniversityThe State Key Laboratory of Mechanical Transmission, Chongqing UniversityThe State Key Laboratory of Mechanical Transmission, Chongqing UniversityA novel point contact gear drive with pinion circular arc teeth and gear parabolic curve teeth is proposed based on the application of two mismatched rack cutters. The rack cutter for generating a pinion is of normal circular arc profile, and the rack cutter for generating a gear is of normal parabolic curve profile which is tangent to the circular arc of the pinion. The number of contact points can be one or two by changing the design parameter of the parabolic curve. Equations of tooth surfaces are derived based on coordinate transformation and gear geometry theory. Computer program is developed to solve the tooth surface equations and establish the solid models. To find out the advantages and disadvantages of the proposed gear drives, the gear stress distribution and the contact deformation are investigated by using the finite element analysis. Three examples of the proposed gears and circular-arc gears are present to demonstrate the influence of the profile design parameters and the contact positions on the stress distribution. The result shows that the proposed gear drives can reduce 23.8%-35.3% contact stress or 23.2%-29.5% von Mises contact stress.https://www.jstage.jst.go.jp/article/jamdsm/10/1/10_2016jamdsm0009/_pdf/-char/engear geometryparabolic curvefinite element analysispoint contact
spellingShingle Yan'e GAO
Bingkui CHEN
Rulong TAN
Yongqing ZHANG
Design and finite element analysis for helical gears with pinion circular arc teeth and gear parabolic curve teeth
Journal of Advanced Mechanical Design, Systems, and Manufacturing
gear geometry
parabolic curve
finite element analysis
point contact
title Design and finite element analysis for helical gears with pinion circular arc teeth and gear parabolic curve teeth
title_full Design and finite element analysis for helical gears with pinion circular arc teeth and gear parabolic curve teeth
title_fullStr Design and finite element analysis for helical gears with pinion circular arc teeth and gear parabolic curve teeth
title_full_unstemmed Design and finite element analysis for helical gears with pinion circular arc teeth and gear parabolic curve teeth
title_short Design and finite element analysis for helical gears with pinion circular arc teeth and gear parabolic curve teeth
title_sort design and finite element analysis for helical gears with pinion circular arc teeth and gear parabolic curve teeth
topic gear geometry
parabolic curve
finite element analysis
point contact
url https://www.jstage.jst.go.jp/article/jamdsm/10/1/10_2016jamdsm0009/_pdf/-char/en
work_keys_str_mv AT yanaposegao designandfiniteelementanalysisforhelicalgearswithpinioncirculararcteethandgearparaboliccurveteeth
AT bingkuichen designandfiniteelementanalysisforhelicalgearswithpinioncirculararcteethandgearparaboliccurveteeth
AT rulongtan designandfiniteelementanalysisforhelicalgearswithpinioncirculararcteethandgearparaboliccurveteeth
AT yongqingzhang designandfiniteelementanalysisforhelicalgearswithpinioncirculararcteethandgearparaboliccurveteeth