VH-CATT啮合过程弹流润滑最小油膜厚度分析  

Analysis of VH-CATT EHL Minimum Film Thickness in Meshing Process

作　　者：罗培 侯力[1] 吴阳[1] 吉阳珍 刘旭槟 魏永峭 Luo Pei;Hou Li;Wu Yang;Ji Yangzhen;Liu Xubing;Wei Yongqiao(School of Mechanical Engineering,Sichuan University,Chengdu 610065,China;School of Mechanical and Electrical Engineering,Lanzhou University of Technology,Lanzhou 730050,China)

机构地区：[1]四川大学机械工程学院,四川成都610065 [2]兰州理工大学机电工程学院,甘肃兰州730050

出　　处：《机械传动》2020年第10期19-28,共10页Journal of Mechanical Transmission

基　　金：国家自然科学基金(51375320,51875370);机械传动国家重点实验室(重庆大学)开放基金资助项目(SKLMT-KFKT-201807)。

摘　　要：基于变双曲圆弧齿线圆柱齿轮(VH-CATT)的齿面方程,利用齿轮啮合原理进行啮合过程中的齿面接触分析,得到VH-CATT齿轮副凹、凸齿面啮合过程中各啮合点的位置分布。根据齿轮几何学原理,推导出VH-CATT齿轮副凹、凸齿面各啮合点处的主曲率、卷吸速度等弹流润滑重要参数的计算公式。采用Downson-Higginson最小油膜厚度模型进行VH-CATT啮合过程弹流润滑最小油膜厚度分析,得到齿轮副在不同齿轮设计参数下啮合过程中弹流润滑最小油膜厚度的变化规律。理论分析表明,VH-CATT主动轮(凹齿面)齿根处与从动轮(凸齿面)齿顶处润滑情况最差,此处最易出现齿面摩擦磨损失效;输入转速增加,最小油膜厚度大幅增加,润滑性能得到提升;输入载荷增加,最小油膜厚度略微减小,齿轮具有抗冲击载荷的特性;压力角增加,最小油膜厚度增加,润滑性能与承载能力得到提升;齿线半径增加,最小油膜厚度轻微减小,选用合理的刀盘半径加工该齿轮有利于提高润滑性能。研究结果为VH-CATT润滑设计、磨损量计算提供了一定的理论依据。Based on the tooth surface equation of the Variable hyperbolic circular-arc-tooth-trace(VHCATT),the gear meshing principle is used to analyze the tooth surface contact during the meshing process,the positions distribution of the VH-CATT meshing point during meshing process of the concave and convex tooth surface is obtained.According to the principles of gear geometry,the formulas for calculating the important parameters of EHL such as the principal curvatures and entrainment velocity of the VH-CATT meshing point during meshing process of the concave and convex tooth surface is obtained.The Downson-Higginson minimum film thickness model is used to analyze the minimum film thickness of EHL in the VH-CATT meshing process,and the variation rules of EHL minimum film thickness in the meshing process of gear pairs with different gear design parameters are obtained.Theoretical analysis shows that the lubrication condition between the dedendum of driver gear(the concave tooth surface)and the addendum of driven gear(the convex tooth surface)of VHCATT is the worst,where the wear failure of tooth surface is most likely to occur.When the input load increases,the minimum film thickness decreases slightly,and the gear is provided with the characteristics of impact load resistance.With the increase of pressure angle,the minimum film thickness increases so that the lubricity and bearing capacity are improved.When the tooth trace radius becomes longer,the minimum film thickness decreases slightly,selecting a reasonable cutter head radius to process the gear can improve the lubricity.The results provide a theoretical basis for the lubrication design and wear calculation of VH-CATT.

关 键 词：变双曲圆弧齿线圆柱齿轮 接触分析 弹流润滑 最小油膜厚度 

分 类 号：TH132.41[机械工程—机械制造及自动化]