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汽车安全与节能学报

JASE ›› 2018, Vol. 9 ›› Issue (4): 370-378.DOI: 10.3969/j.issn.1674-8484.2018.04.002

• 汽车安全 • 上一篇    下一篇

考虑边缘松弛效应的直齿圆柱齿轮加载接触分析

陈长亮，周 驰，王 琪，范子杰*   

  1. （清华大学 汽车工程系，汽车安全与节能国家重点实验室，北京 100084，中国）
  • 收稿日期:2018-05-21 出版日期:2018-12-31 发布日期:2019-01-02
  • 通讯作者: 范子杰，教授。E-mail: zjfan@tsinghua.edu.cn。
  • 作者简介:第一作者 / First author ： 陈长亮(1993—)，男( 汉)，河南，硕士研究生。E-mail: cchangliang1510@163.com。

Loaded tooth contact analysis of spur gear considering edge relaxation effect

CHEN Changliang, ZHOU Chi, WANG Qi, FAN Zijie*   

  1. (State Key Laboratory of Automobile Safety and Energy, Department of Automobile Engineering, Tsinghua University, Beijing 100084, China)
  • Received:2018-05-21 Online:2018-12-31 Published:2019-01-02

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摘要：

        提出了一种考虑到边缘松弛效应的直齿圆柱齿轮加载接触分析（LTCA）方法，改进了传统分析方法。基于齿面公式计算齿面点坐标，根据啮合关系计算完整啮合周期内啮合印迹，基于Newton-Raphson 法，求解齿轮副平衡状态下啮合状态。引入了边缘修正函数及边缘因子，考虑了边缘松弛效应的抛物线形式，提出了一种齿宽边缘接触刚度修正方法；用有限元方法（FEM），对完整啮合周期的载荷分配系数、接触应力分布、传动误差曲线、计算效率等进行对比验证。结果表明：采用本方法能够对等宽度线接触直齿圆柱齿轮进行加载接触分析。

关键词: 直齿圆柱齿轮, 齿轮加载接触分析（LTCA）, 松弛效应, 接触刚度, 有限元方法（FEM）

Abstract:

A loaded tooth contact analysis method (LTCA) was proposed for spur gears with considering the edge relaxation effect to improve the traditional analysis method for spur gears. Calculated tooth surface coordinates based on the tooth surface formula with the mesh paths calculated in a complete meshing period
according to the mesh relationship. Used Newton-Raphson method to solve the mesh state of the gear teeth in the equilibrium state and to analyze the loaded tooth contact. Verified the load distribution coefficients, the contact stresses, the transmission errors and the calculation efficiencies in a complete meshing period based on the finite element method (FEM) with introducing the edge correction function and edge factor, and with considering the edge relaxation effect in a parabolic form by using a correction method for tooth width-edge contact-stiffness. The results show that this method can be used to analyze the loaded tooth contact of spur gears in equal width line.

Key words: spur gear, loaded tooth contact analysis (LTCA), relaxation effect, contact stiffness, finite element method (FEM)