面齿轮高阶曲线齿形设计及轮齿接触分析  

Design of the high-order curve tooth profile and analysis on the face gear’s tooth contact

作　　者：李大庆 吴素珍 赵让乾 邓效忠[2] Ll Da-qing;WU Su-zhen;ZHAO Rang-qian;DENG Xiao-zhong(School of Mechanical Engineering,Henan Institute of Engineering,Zhengzhou 451191;School of Mechanical&Electronic Engineering,Henan University of Science and Technology,Luoyang 471003)

机构地区：[1]河南工程学院机械工程学院,河南郑州451191 [2]河南科技大学机电工程学院,河南洛阳471003

出　　处：《机械设计》2020年第11期109-114,共6页Journal of Machine Design

基　　金：国家自然科学基金资助项目(51975185);河南工程学院博士基金项目(D2015014)。

摘　　要：基于面齿轮的展成磨齿加工过程,由高阶抛物曲线齿条推导出面齿轮齿面方程,利用齿向高阶抛物曲线修形原理获得了配对小轮齿面方程,根据得到的齿面方程选取5个齿形参数并分别分析了其对面齿轮副啮合性能的影响。研究结果表明,双向高阶抛物曲线齿形齿面的接触路径呈S形分布,并可通过改变齿形参数来改变接触印痕的位置和方向,得到的高阶传动误差曲线上部平坦,在转换点处过渡平滑,该误差曲线能有效减小冲击,提高面齿轮传动稳定性。这些成果为面齿轮的齿面修形设计和面齿轮的啮合性能改善提供了思路和方法。Based on the grinding process of face gear,the tooth-surface equation is derived from the high-order parabolic rack,and the tooth-surface equation of the pinion is worked out by means of the modification principle of the high-order parabolic curve. According to the tooth-surface equation,five tooth-shape parameters are selected and their effects on the meshing performance of the face-gear pair are analyzed respectively. The results show that the contact path on the tooth surface of the two-way high-order parabolic curve is S-distribution,and the position and direction of the bearing contact are changed by different toothshape parameters. The upper part of the high-order transmission error curve is flat,the transition at the conversion point is smooth,and this error curve indicates that the impact can be effectively reduced. These results provide ideas and methods for the tooth-surface modification design and ensure the improvement of the face gear’s meshing performance.

关 键 词：面齿轮 高价抛物曲线 齿形 啮合分析 磨削 

分 类 号：TH16[机械工程—机械制造及自动化] TH132.41