基于有限元法的双圆弧弧齿锥齿轮章动传动接触特性分析  

CONTACT CHARACTERISTIC ANALYSIS OF DOUBLE CIRCULAR-ARC SPIRAL BEVEL GEARS FOR THE NUTATION DRIVE BASED ON FINITE ELEMENT METHOD

作　　者：吴祎煌 张俊[1] WU YiHuang;ZHANG Jun(College of Mechanical Engineering and Automation,Fuzhou University,Fuzhou 350116,China)

机构地区：[1]福州大学机械工程及自动化学院,福州350116

出　　处：《机械强度》2022年第6期1411-1418,共8页Journal of Mechanical Strength

基　　金：国家自然科学基金项目(51875105);福建省高校产学合作项目(2020H6025)资助。

摘　　要：接触特性是表征齿轮传动性能的重要指标。为明晰双圆弧弧齿锥齿轮章动传动的接触特性,利用有限元法对其进行加载接触分析。首先,基于啮合原理推导双圆弧弧齿锥齿轮齿面方程并生成齿轮副的三维模型;其次,利用Ansys Workbench建立齿轮副有限元模型,分析了双圆弧锥齿轮副的齿面啮合状态;最后,分析负载与安装误差对齿轮副传动性能的影响规律。结果表明:双圆弧弧齿锥齿轮存在分别位于凹、凸齿面上的双点接触状态,且锥齿轮靠近小端部位为应力危险点;增大负载有利于提高齿轮啮合的重合度,降低齿间载荷分配系数,一定程度上可提高齿轮传动的平稳性;安装误差对齿轮副齿面接触状态有较大影响,负向偏置误差与正向章动角误差不利于齿轮承载与传动稳定,在实际应用中应合理调控。Contact characteristic is an important index to characterize the transmission performance of gears. To clarify the contact characteristic of a nutation transmission with double circular-arc spiral bevel gears, this paper carried out a loaded tooth contact analysis by using the finite element method. Firstly, based on the meshing theory, the tooth surface equation of the double circular-arc spiral bevel gear was derived based on which a three-dimensional CAD model of the meshing gear pair was generated. Secondly, a finite element model of the gear pair was developed in Ansys Workbench to simulate contact status of the meshing double circular-arc spiral bevel gear pair. Finally, the influence of load and installation error on the transmission performance of the gear pair was investigated. The results show that a double-point contact occurs on concave and convex tooth surfaces of the double circular-arc spiral bevel gear, and the stress maximum occurs at the toe of bevel gear. With the increase of load, the contact ratio of the meshing gear increases, while the load distribution coefficient decreases, which improves the smoothness of gear transmission. The installation error affects the contact state of the gear pair in that a negative offset error and a positive nutation angle error may degrade the bearing capacity and the transmission stability of the gears. Thus, they should be reasonably controlled in practical applications.

关 键 词：双圆弧弧齿锥齿轮 章动传动 接触特性 安装误差 

分 类 号：TH132.41[机械工程—机械制造及自动化]