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...
Main Authors: | , , , |
---|---|
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 |
_version_ | 1818107815433076736 |
---|---|
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. |
first_indexed | 2024-12-11T02:05:28Z |
format | Article |
id | doaj.art-902b04d7b65c448e9eb0c14d67818282 |
institution | Directory Open Access Journal |
issn | 1881-3054 |
language | English |
last_indexed | 2024-12-11T02:05:28Z |
publishDate | 2016-02-01 |
publisher | The Japan Society of Mechanical Engineers |
record_format | Article |
series | Journal of Advanced Mechanical Design, Systems, and Manufacturing |
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 |