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

Yang Zhuxi; Wu Yuanhang; Tang Jinyuan

doi:10.16578/j.issn.1004.2539.2020.02.003

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

Theory·Reserach | 更新时间：2022-10-25

- Research of Calculation Method of Contact Stress of Non-orthogonal Modified Face-gear Drive with Helical Pinion
- Journal of Mechanical Transmission Vol. 44, Issue 2, Pages: 16-21(2020)
- 作者机构：
  
  1.中南大学高性能复杂制造国家重点实验室，湖南长沙 410083
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2020.02.003
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杨主希,邬远航,唐进元.非正交修形斜齿面齿轮传动接触应力计算研究[J].机械传动,2020,44(02):16-21.

Yang Zhuxi Wu Yuanhang Tang Jinyuan.Research of Calculation Method of Contact Stress of Non-orthogonal Modified Face-gear Drive with Helical Pinion[J].Journal of Mechanical Transmission,2020,44(02):16-21.
杨主希,邬远航,唐进元.非正交修形斜齿面齿轮传动接触应力计算研究[J].机械传动,2020,44(02):16-21. DOI： 10.16578/j.issn.1004.2539.2020.02.003.

Yang Zhuxi Wu Yuanhang Tang Jinyuan.Research of Calculation Method of Contact Stress of Non-orthogonal Modified Face-gear Drive with Helical Pinion[J].Journal of Mechanical Transmission,2020,44(02):16-21. DOI： 10.16578/j.issn.1004.2539.2020.02.003.

摘要

非正交修形斜齿面齿轮是一种具有普适性的交叉轴齿轮传动方式，目前还没有接触应力解析计算公式，只能依靠有限元软件进行接触应力计算。给出了其接触应力计算方法和相应的计算公式。首先，基于曲面啮合传动原理，推导了非正交修形斜齿面齿轮齿面方程；其次，建立含安装误差的接触分析坐标系，由齿面接触分析原理得到接触点及其曲率计算方程；最后，按赫兹接触理论推导出一般形式的接触应力解析计算公式，该接触应力计算公式可以计算正交与非正交、修形与非修形、直齿与斜齿等各种不同形式的面齿轮传动接触应力，通过编制程序快速计算出相应的接触应力。以某一设计参数的面齿轮副为例，应用提出的接触应力计算方法计算出接触应力，同时利用Abaqus有限元软件进行齿面接触应力计算，提取有限元计算的面齿轮齿面接触应力值，与解析计算公式的结果进行对比，两者误差为5.23%左右。对比结果表明，给出的非正交修形斜齿面齿轮齿面接触应力计算方法与计算公式正确可行。

Abstract

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.

关键词

接触应力斜齿面齿轮修形非正交

Keywords

Contact stressHelical face gearModifiedNon-orthogonal

references

LITVIN F L，FUENTES A.Gear geometry and applied theory[M].Cambridge：Cambridge University Press，2004：180-546.

王志，石照耀.面齿轮传动的特点及研究进展[J].工具技术，2009，43（10）：10-14.

WANG Zhi，SHI Zhaoyao.Characteristics and research progress of face gear transmission[J].Tool Engineering，2009，43（10）：10-14.

LITVIN F L，FUENTES A，ZANZI C，et al.Design，generation，and stress analysis of two versions of geometry of face-gear drives[J].Mechanism and Machine Theory，2002，37（10）:1179-1211.

GUINGAND M，VAUJANY J P，JACQUIN C Y.Quasi-static analysis of a face gear under torque[J].Computer Methods in Applied Mechanics and Engineering，2005，194（39/40/41）：4301-4318.

任行丽，何国旗，舒陶亮.面齿轮传动齿面几何特征与接触应力关系[J].湖南工业大学学报，2012，26（2）:49-55.

REN Xingli，HE Guoqi，SHU Taoliang.The relation between contact stress and geometric characteristics of tooth surface of face gear transmission[J].Journal of Hunan University of Technology，2012，26（2）:49-55.

刘艳平.直齿-面齿轮加载接触分析及弯曲应力和接触应力计算方法研究[D].长沙：中南大学，2012:68-69.

LIU Yanping.The loaded tooth contact analysis and bending stress and contact stress calculating method reserch of face gear drive with spur involute pinion[D].Changsha:Central South of University，2012:68-69.

周镇宇，唐进元，丁撼.变位非正交面齿轮副小轮齿向修形轮齿接触分析[J].中国机械工程，2016，27（15）:2003-2009.

ZHOU Zhenyu，TANG Jinyuan，DING Han.Tooth contact analysis of profile-shifted non-orthogonal face gear drive with longitudinal modified pinion[J].China Mechanical Engineering，2016，27（15）:2003-2009.

陈兴明.含安装误差的修形直齿面齿轮传动齿面接触分析的研究[D].长沙：中南大学，2012:21-24.

CHEN Xingming.Tooth contact analysis of modified spur face gear drives with alignment errors[D].Changsha:Central South of University，2012:21-24.

JOHNSON K L.接触力学[M].徐秉业,译.北京：高等教育出版社，1992：96-122.

JOHNSON K L.Contact mechanics[M].Xu Bingye,Jr.Beijing：Higer Education Press，1992：96-122.

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