基于动力学的渐开线圆柱齿轮的啮合效率

PDF全文下载：20160100077

邹玉静， 李军英， 常德功*

 (青岛科技大学 机电工程学院，山东 青岛 266061)

 摘要： 提出了基于动力学的渐开线齿轮啮合效率计算模型。通过求解动力学方程获得任意啮合时刻的齿面动载荷、摩擦力和考虑到波动的表面速度，并计算瞬时输入功率和损耗功率后可得瞬时啮合效率。通过计算一个啮合周期内的总输入功和损耗功，可得到平均啮合效率。研究了不同载荷分配模型、最大修形量、转速和转矩等对啮合效率的影响。结果表明：为准确估算齿轮啮合功率损失和啮合效率，应建立较准确的载荷分配模型；对齿顶进行适当修形能有效减小双齿啮合区的摩擦损耗，从而提高齿轮传动效率；转速和转矩平均啮合效率有较大影响。

关键词： 渐开线圆柱齿轮； 啮合效率； 动力学； 载荷分配； 修形

 中图分类号： TH 132                  文献标志码： A

 Meshing Efficiency of Spur Gears Based on Dynamics

 ZOU Yujing, LI Junying, CHANG Degong

(College of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao 266061,China)

 Abstract: A meshing efficiency calculation model of spur gear was proposed based on the dynamics of gears. Tooth dynamic load，friction force and surface velocity considering fluctuation were gained by solving dynamics equation. Then， the instantaneous meshing efficiency would be obtained by calculating instantaneous input power and power losses. The average meshing efficiency was achieved by evaluating the total input work and loss work in one mesh period. The influence of different load distribution model, maximum amount of profile modification, rotational speed and input torque was also discussed. The results show that more accurate load distribution model should be established to predict power losses of gearing mesh and meshing efficiency. Appropriate tip relief helps to reduce friction power losses of double teeth contact and improve meshing efficiency. Rotational speed and input torque affect the average meshing efficiency obviously.

 Key words: involute spur gear; meshing efficiency; dynamics; load distribution; tip relief

收稿日期： 20150724

基金项目： 国家高技术研究发展计划(863 计划)课题（2012AA110701）；山东省自然科学基金资助项目(ZR2015EM037)；山东省科技发展计划项目(2013GGX10305).

作者简介： 邹玉静（1977—），女，博士.  *通信联系人.

文章编号： 16726987（2016）01007705； DOI： 10.16351/j.16726987.2016.01.016