高重合度摆线内齿轮副齿面接触强度研究

doi:10.3901/JME.2019.23.109

机械工程学报 ›› 2019, Vol. 55 ›› Issue (23): 109-119.doi: 10.3901/JME.2019.23.109

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高重合度摆线内齿轮副齿面接触强度研究

贵新成¹, 李红勋¹, 金晓辉², 赵重年¹, 李立顺¹, 侯伟锋³

1. 陆军军事交通学院国家应急交通运输装备工程技术研究中心天津 300161;
2. 32184部队总体所北京 100072;
3. 71282部队保定 071000

收稿日期:2019-05-22 修回日期:2019-08-12 出版日期:2019-12-05 发布日期:2020-02-18
通讯作者: 李立顺(通信作者),男,1971年出生,博士,教授,硕士研究生导师。主要研究方向为特种车辆装备设计与试验。E-mail:lilili58815@sohu.com
作者简介:贵新成,男,1990年出生,博士研究生。主要研究方向为军用车辆设计与试验工程。E-mail:gns2018@126.com;李红勋,男,1981年出生,高级工程师。主要研究方向为特种车辆装备设计与仿真。E-mail:lihongxun2008@163.com;金晓辉,男,1978年出生,高级工程师。主要研究方向为车辆装备试验鉴定。E-mail:jxhpla0407@sina.com

Tooth Surface Contact Strength of Cycloid Internal Gear Pair with High Contact Ratio

GUI Xincheng¹, LI Hongxun¹, JIN Xiaohui², ZHAO Zhongnian¹, LI Lishun¹, HOU Weifeng³

1. National Emergency Transportation Equipment Engineering Research Center, Army Military Transportation University, Tianjin 300161;
2. General Institute, Unit 32184, Beijing 100072;
3. Unit 71282, Baoding 071000

Received:2019-05-22 Revised:2019-08-12 Online:2019-12-05 Published:2020-02-18

摘要/Abstract

摘要： 合理的齿轮强度计算是实现齿轮结构设计及优化、保证留有适当裕量的基础。高重合度摆线内齿轮副同时参与啮合的轮齿对数较多，齿根弯曲应力很小，所以只需考虑齿面接触强度问题。基于改进能量法和赫兹弹性理论，推导了理想条件下该齿轮副的时变啮合刚度、齿间载荷分配和齿面接触强度计算模型。鉴于共轭齿廓节点处曲率半径为零，研究了节点附近不参与啮合的齿廓修形区域优化问题，在此基础上，通过将齿轮加工中产生的各种误差及侧隙转化为理论齿廓公法线上的偏移量，分析了不同加工误差对承载特性的影响程度，并在ABAQUS中进行了加载接触有限元分析验证。结果表明，该齿轮副对加工误差（侧隙）非常敏感，即对精度要求很高，为齿面接触强度计算和误差控制提供了技术支持。

关键词: 摆线齿轮, 接触强度, 能量法, 齿间载荷分配, 有限元法

Abstract: Reasonable calculation of gear strength is the basis of realizing the design and optimization of gear structure and ensuring an appropriate margin. Due to the more number of teeth of cycloid internal gear pair with high contact ratio engaging at the same time, the root bending stress is very small, so only the tooth surface contact strength should be considered. Based on the improved energy method and the Hertz elastic theory, the models of time-varying mesh stiffness, load distribution among teeth and tooth surface contact strength for this gear pair under ideal conditions are derived. In view of the curvature radius at the node of the conjugate tooth profile being zero, the modification optimization problem of the profile near the node out of meshing is studied. On this basis, the influence of different machining errors on the bearing characteristics of this gear pair is discussed by transforming various errors in gear machining and the tooth backlash into displacement on common normal line of theoretical tooth profile, and is verified through finite element analysis with loaded contact in ABAQUS. The results show that this gear pair is very sensitive to machining errors (backlash), in other words, it has a high demand for accuracy, which provides technical support for the calculation of tooth surface contact strength and the control of machining errors.

Key words: cycloid gear, contact strength, potential energy method, load distribution among teeth, finite element method

中图分类号:

TH132

贵新成, 李红勋, 金晓辉, 赵重年, 李立顺, 侯伟锋. 高重合度摆线内齿轮副齿面接触强度研究[J]. 机械工程学报, 2019, 55(23): 109-119.

GUI Xincheng, LI Hongxun, JIN Xiaohui, ZHAO Zhongnian, LI Lishun, HOU Weifeng. Tooth Surface Contact Strength of Cycloid Internal Gear Pair with High Contact Ratio[J]. Journal of Mechanical Engineering, 2019, 55(23): 109-119.

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高重合度摆线内齿轮副齿面接触强度研究

Tooth Surface Contact Strength of Cycloid Internal Gear Pair with High Contact Ratio

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