Research of Calculation Method of Contact Stress of Non-orthogonal Modified Face-gear Drive with Helical Pinion

Non-orthogonal modified face-gear drive is a kind of cross-shaft transmission mode with universal application. At present, there is no analytical formula for contact stress, only finite element software can be used to calculate the contact stress. The calculation method and formula of the contact st...

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Main Authors: Yang Zhuxi, Wu Yuanhang, Tang Jinyuan
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2020-01-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.02.003
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author Yang Zhuxi
Wu Yuanhang
Tang Jinyuan
author_facet Yang Zhuxi
Wu Yuanhang
Tang Jinyuan
author_sort Yang Zhuxi
collection DOAJ
description Non-orthogonal modified face-gear drive is a kind of cross-shaft transmission mode with universal application. At present, there is no analytical formula for contact stress, only finite element software can be used to calculate the contact stress. The calculation method and formula of the contact stress are given in this study. Firstly, based on the principle of surface meshing transmission, the tooth surface equation of non-orthogonal modified face-gear drive with helical pinion is derived. Secondly, the contact analysis coordinate system with installation error is established, and the contact point and its curvature calculation equation are obtained by the tooth contact analysis (TCA) theory. Finally, the general form of the contact stress analytical formula is derived according to the Hertz contact theory. The contact stress calculation formula can calculate the contact stress of various types of face gears, such as orthogonal and non-orthogonal, modified and unmodified, spur and helical teeth, and quickly calculate the corresponding contact stress by programming. Taking a certain design parameter of the face-gear drive as an example, the contact stress calculation formula is used to calculate the contact stress, and the Abaqus finite element software is used to calculate the tooth surface contact stress of face gear, and then the tooth surface contact stress value of face gear is extracted in Abaqus. The results of analytical calculations are compared with the finite element, the error is about 5.23%. The results show that the calculation method of contact stress of helical face gear tooth surface is correct and feasible.
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spelling doaj.art-4c8d27cd62f0406f951ecd1d2eef5e6f2023-05-26T09:54:50ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392020-01-0144162131440989Research of Calculation Method of Contact Stress of Non-orthogonal Modified Face-gear Drive with Helical PinionYang ZhuxiWu YuanhangTang JinyuanNon-orthogonal modified face-gear drive is a kind of cross-shaft transmission mode with universal application. At present, there is no analytical formula for contact stress, only finite element software can be used to calculate the contact stress. The calculation method and formula of the contact stress are given in this study. Firstly, based on the principle of surface meshing transmission, the tooth surface equation of non-orthogonal modified face-gear drive with helical pinion is derived. Secondly, the contact analysis coordinate system with installation error is established, and the contact point and its curvature calculation equation are obtained by the tooth contact analysis (TCA) theory. Finally, the general form of the contact stress analytical formula is derived according to the Hertz contact theory. The contact stress calculation formula can calculate the contact stress of various types of face gears, such as orthogonal and non-orthogonal, modified and unmodified, spur and helical teeth, and quickly calculate the corresponding contact stress by programming. Taking a certain design parameter of the face-gear drive as an example, the contact stress calculation formula is used to calculate the contact stress, and the Abaqus finite element software is used to calculate the tooth surface contact stress of face gear, and then the tooth surface contact stress value of face gear is extracted in Abaqus. The results of analytical calculations are compared with the finite element, the error is about 5.23%. The results show that the calculation method of contact stress of helical face gear tooth surface is correct and feasible.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.02.003Contact stress
spellingShingle Yang Zhuxi
Wu Yuanhang
Tang Jinyuan
Research of Calculation Method of Contact Stress of Non-orthogonal Modified Face-gear Drive with Helical Pinion
Jixie chuandong
Contact stress
title Research of Calculation Method of Contact Stress of Non-orthogonal Modified Face-gear Drive with Helical Pinion
title_full Research of Calculation Method of Contact Stress of Non-orthogonal Modified Face-gear Drive with Helical Pinion
title_fullStr Research of Calculation Method of Contact Stress of Non-orthogonal Modified Face-gear Drive with Helical Pinion
title_full_unstemmed Research of Calculation Method of Contact Stress of Non-orthogonal Modified Face-gear Drive with Helical Pinion
title_short Research of Calculation Method of Contact Stress of Non-orthogonal Modified Face-gear Drive with Helical Pinion
title_sort research of calculation method of contact stress of non orthogonal modified face gear drive with helical pinion
topic Contact stress
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.02.003
work_keys_str_mv AT yangzhuxi researchofcalculationmethodofcontactstressofnonorthogonalmodifiedfacegeardrivewithhelicalpinion
AT wuyuanhang researchofcalculationmethodofcontactstressofnonorthogonalmodifiedfacegeardrivewithhelicalpinion
AT tangjinyuan researchofcalculationmethodofcontactstressofnonorthogonalmodifiedfacegeardrivewithhelicalpinion