Ease-off拓扑修形齿面拟赫兹接触与摩擦特性分析

doi:10.3901/JME.2021.01.061

机械工程学报 ›› 2021, Vol. 57 ›› Issue (1): 61-67.doi: 10.3901/JME.2021.01.061

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Ease-off拓扑修形齿面拟赫兹接触与摩擦特性分析

魏冰阳, 王振, 杨建军, 曹雪梅

河南科技大学机电工程学院洛阳 471000

收稿日期:2020-03-30 修回日期:2020-07-07 出版日期:2021-01-05 发布日期:2021-02-06
作者简介:魏冰阳,男,1966年生,教授,博士研究生导师。主要研究方向为高性能复杂齿面数字化设计与制造。E-mail:bywei29@163.com
基金资助:
国家自然科学基金资助项目（51875174）。

Analysis on Quasi Hertzian Contact and Friction Characteristics of Tooth Surface Modified by Ease-off Topology

WEI Bingyang, WANG Zhen, YANG Jianjun, CAO Xuemei

School of Mechanical&Electronic Engineering, Henan University of Science&Technology, Luoyang 471000

Received:2020-03-30 Revised:2020-07-07 Online:2021-01-05 Published:2021-02-06

摘要/Abstract

摘要： 齿轮啮合界面的润滑分析一直受到齿面几何与载荷参数计算的限制。目前轮齿承载接触分析（Loaded contact analysis tooth，LTCA）方法主要局限于三维有限元建模分析，因其模型固化、运算量巨大制约了齿轮传动摩擦学的应用。从ease-off曲面拓扑出发，对齿轮啮合刚度、LTCA计算方法进行了解析，获得了齿面几何与力学参数；提出了离散接触线有限元、拟赫兹接触啮合仿真与混合弹流润滑（Elastohydrodynamic lubrication，EHL）分析方法，解决了齿面边界瞬时接触区仿真与混合EHL分析的求解问题；利用EHL油膜厚度与摩擦因数经典计算公式，快捷求解了齿面瞬时接触线上的油膜厚度、摩擦因数，获得了齿面摩擦功耗分布规律与变化历程。为齿面拓扑设计与摩擦学分析提供了一种便利快捷的计算流程。

关键词: 差曲面, 啮合刚度, 轮齿接触分析, 弹流润滑

Abstract: The lubrication analysis on gears meshing interface is always limited by the calculation of parameters of tooth surface geometry and load. At present, the loaded tooth contact analysis ( LTCA) method proceeded by modeling analysis of three-dimensional finite element restricts the application of gears transmission tribology, due to modeling rigidly and computing hugely. Based on topology of ease-off surface, the analysis method on tooth meshing stiffness of gears and LTCA calculation are done to obtain the geometric and mechanical parameters of tooth surface of gears. The analysis methods are proposed on the discrete finite elements of contact line, meshing simulation of Quasi Hertz contact and mixed elastohydrodynamic lubrication(EHL). The problems are solved on the instantaneous contact area simulation and mixed EHL analysis at tooth surface boundary. By using the classical calculation formula of EHL oil film thickness and friction coefficient, the oil film thickness and friction coefficient on the instantaneous contact line are solved quickly. Finally the distribution law and varying course of friction power consumption on tooth surface is obtained. It provides a shortcut calculation flow for the topological design and tribological analysis on tooth meshing surface of gears.

Key words: ease-off surface, meshing stiffness, tooth contact analysis, elastohydrodynamic lubrication

中图分类号:

TH132

魏冰阳, 王振, 杨建军, 曹雪梅. Ease-off拓扑修形齿面拟赫兹接触与摩擦特性分析[J]. 机械工程学报, 2021, 57(1): 61-67.

WEI Bingyang, WANG Zhen, YANG Jianjun, CAO Xuemei. Analysis on Quasi Hertzian Contact and Friction Characteristics of Tooth Surface Modified by Ease-off Topology[J]. Journal of Mechanical Engineering, 2021, 57(1): 61-67.

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Ease-off拓扑修形齿面拟赫兹接触与摩擦特性分析

Analysis on Quasi Hertzian Contact and Friction Characteristics of Tooth Surface Modified by Ease-off Topology

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