考虑齿侧间隙的非等模数非等压力角行星齿轮系统的均载特性研究

叶福民，朱如鹏，靳广虎，鲍和云，李发家

(1.南京航空航天大学机电学院,南京　210016; 2.江苏科技大学机械工程学院,镇江　212003)

第一作者叶福民男，博士生，副教授,1968年生

考虑齿侧间隙的非等模数非等压力角行星齿轮系统的均载特性研究

叶福民1.2，朱如鹏1，靳广虎1，鲍和云1，李发家1

(1.南京航空航天大学机电学院,南京210016; 2.江苏科技大学机械工程学院,镇江212003)

摘要：针对非等模数非等压力角行星齿轮传动系统，建立了多自由度平移-扭转振动的非线性动力学模型。考虑到齿轮副齿侧间隙、系统综合误差和齿轮副模数与压力角的不相等，计算了系统的均载系数并对由它们所引起的系统不均载特性进行了动力学分析。获得了误差一定且齿侧间隙改变时，啮合副的动载荷曲线与均载系数间的变化关系。讨论了齿轮副模数和压力角分别不同时，系统均载系数的变化幅度。研究表明：随着齿轮副压力角选择范围的扩大，系统均载系数有着较大幅度的变化；齿侧间隙使系统的啮合副处于不同冲击状态，不同冲击状态对系统的均载性能有着重要的影响。

关键词：行星传动；非等模数非等压力角；均载；非线性特性

基金项目：国家自然科学基金(51305196);中央高校基本科研业务费专项资金资助项目(NZ2014201)

收稿日期：2013-12-11修改稿收到日期：2014-04-16

通信作者朱如鹏男，教授,博士生导师,1959年生

中图分类号:TH132.4

文献标志码：A

DOI:10.13465/j.cnki.jvs.2015.11.036

Abstract:A translation-torsion coupled nonlinear dynamic model with multi-DOF was established for a planetary gear train system with non-equivalent modulus and pressure angle. Considering backlashes, system’s comprehensive errors and non-equivalent modulus and pressure angle of gear pair, the load sharing coefficient of the system was calculated. The dynamic characteristics of load sharing caused by the factors mentioned above were analyzed. Some relations between the dynamic load curve of gear pair and the load sharing coefficient were obtained due to certain errors and changes of backlash. The change range of the system load sharing coefficient was discussed with the variation of gear modulus and pressure angle. The results showed that the load sharing coefficient has a larger variation with increase in selecting range of pressure angle of gear pair, and the different impacts of meshing pair caused by backlashes have important influences on the load sharing characteristics of the planetary gear train system.

Load sharing characteristics of a planetary gear train system with non-equivalent modulus and pressure angle considering backlashes

YEFu-min1，2,ZHURu-peng1,JINGuang-hu1,BAOHe-yun1,LIFa-jia1(1. College of Mechanical and Electrical Engineeing, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;2. College of Mechanical Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, China)

Key words:planetary gear train; non-equivalent modulus and pressure angle; load sharing; nonlinear characteristics

出于齿轮润滑和便于安装的考虑，在设计齿轮系统时，齿间应保留有一定的齿侧间隙。……