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

作　　者：贵新成 李红勋 金晓辉 赵重年 李立顺 侯伟锋 GUI Xincheng;LI Hongxun;JIN Xiaohui;ZHAO Zhongnian;LI Lishun;HOU Weifeng(National Emergency Transportation Equipment Engineering Research Center,Army Military Transportation University,Tianjin 300161;General Institute,Unit 32184,Beijing 100072;Unit 71282,Baoding 071000)

机构地区：[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

出　　处：《机械工程学报》2019年第23期109-119,共11页Journal of Mechanical Engineering

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。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 stiffiiess,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.

关 键 词：摆线齿轮 接触强度 能量法 齿间载荷分配 有限元法 

分 类 号：TH132[机械工程—机械制造及自动化]