轮齿接触分析的分解算法与试验验证

doi:10.3901/JME.2018.05.047

机械工程学报 ›› 2018, Vol. 54 ›› Issue (5): 47-52.doi: 10.3901/JME.2018.05.047

轮齿接触分析的分解算法与试验验证

曹雪梅^1,2, 杨博会¹, 邓效忠^1,3

1. 河南科技大学机电工程学院洛阳 471003;
2. 重庆理工大学汽车零部件先进制造技术教育部重点实验室重庆 400054;
3. 机械装备先进制造河南省协同创新中心洛阳 471003

收稿日期:2017-05-27 修回日期:2017-08-28 出版日期:2018-03-05 发布日期:2018-03-05
通讯作者: 曹雪梅(通信作者),女,1970年出生,博士,副教授。主要研究方向为齿轮的设计、制造与检测技术。E-mail:caoxuemei-2002@163.com
基金资助:
国家自然科学基金（51675161）、汽车零部件先进制造技术教育部重点实验室开放课题（2016KLMT04）和河南省科技计划（172102210251）资助项目。

Novel Decomposition Methodology for Tooth Contact Analysis and Experiment Tests

CAO Xuemei^1,2, YANG Bohui¹, DENG Xiaozhong^1,3

1. School of Mechanical & Electronical Enginerring, Henan University of Science and Technology, Luoyang 471003;
2. Key Laboratory of Advanced Manufacture Technology for Automobile Parts of Ministry of Education, Chongqing University of Technology, Chongqing 400054;
3. Henan Collaborative Innovation Center of Manufacture of Advanced Machinery and Equipment, Luoyang 471003

Received:2017-05-27 Revised:2017-08-28 Online:2018-03-05 Published:2018-03-05

摘要/Abstract

摘要： 目前广泛采用的轮齿接触分析算法需要分别建立齿面接触和边缘接触分析数学模型；确定瞬时啮合点需要求解含5个非线性方程的方程组，计算量大、求解性差。基于此，提出了轮齿接触分析新算法——分解算法，建立了统一的齿面接触和边缘接触分析数学模型，求解非线性方程的个数减少为2个，算法简单、有效，适用于各种齿轮副的性能分析。以弧齿锥齿轮副为例，分解算法与Gleason软件的齿面接触、传统算法的边缘接触分析结果对比表明：齿面印痕一致，传动误差在啮合转换点处幅值仅相差0.29″；边缘接触印痕有少许差异。磨削加工的弧齿锥齿轮副在滚检机上滚检，滚检印痕验证了新算法的正确性。

关键词: 边缘接触分析, 齿面接触分析, 齿面印痕, 传动误差, 瞬时共轭啮合线

Abstract: Tooth contact includes two parts:tooth surface contact and edge contact. The conventional approach for tooth contact analysis needs to establish the different mathematical models for tooth surface contact and edge contact respectively. In addition, determination of each contact point entails the solution of a system of five nonlinear equations, which leads to instability of the algorithm. A new algorithm for tooth contact analysis is proposed-decomposition method. This new algorithm established the uniform mathematical model to analysis the tooth surface contact and edge contact, moreover, the number of solving nonlinear equations for searching contact point is reduced from 5 to 2. This novel algorithm of tooth contact analysis is simple, effective and could be used to various types of gear pairs. The effectiveness of this algorithm was demonstrated on a spiral bevel gear pair example. Contact pattern and transmission errors were calculated by the novel algorithm, Gleason software and the traditional algorithm respectively. Comparison in tooth surface contact analysis between the novel algorithm and the Gleason software shows that contact patterns are identical and the difference of the magnitude of transmission errors is about 0.29″. In comparing the novel algorithm with the traditional algorithm for edge contact analysis, there are relatively few differences for contact patterns. A pair of grinding spiral bevel gear were set on a gear meshing tester and the experimental tooth contact patterns verified the effectiveness of the proposed algorithm.

Key words: contact pattern, edge tooth contact analysis, instantaneous conjugate contact curve, tooth contact analysis, transmission errors

中图分类号:

TH132

曹雪梅, 杨博会, 邓效忠. 轮齿接触分析的分解算法与试验验证[J]. 机械工程学报, 2018, 54(5): 47-52.

CAO Xuemei, YANG Bohui, DENG Xiaozhong. Novel Decomposition Methodology for Tooth Contact Analysis and Experiment Tests[J]. Journal of Mechanical Engineering, 2018, 54(5): 47-52.

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轮齿接触分析的分解算法与试验验证

Novel Decomposition Methodology for Tooth Contact Analysis and Experiment Tests

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