基于动态啮合力-油膜压力迭代耦合的人字行星齿轮接触疲劳寿命计算方法

doi:10.3901/JME.2025.01.199

摘要/Abstract

摘要： 为解决混合弹流润滑人字行星齿轮接触疲劳寿命计算方法中动态载荷缺失的问题，提出一种新的齿轮动态啮合力和油膜压力迭代耦合的接触疲劳寿命计算方法。首先建立耦合齿面摩擦的人字行星齿轮动力学模型和混合弹流润滑模型，通过迭代耦合方法求解齿面压力和剪切力；其次采用弹性半空间理论模拟齿轮次表面应力场，基于多轴疲劳准则计算接触疲劳寿命；最后研究动力学与混合弹流润滑耦合作用下的动态啮合特性、润滑特性及次表面应力分布，分析动态啮合力和齿面粗糙度对接触疲劳寿命的影响。研究结果表明：基于动态啮合力和油膜压力迭代耦合的应力计算方法可以有效模拟齿轮次表面的真实应力状态，准确预测混合弹流润滑人字行星齿轮接触疲劳寿命；齿面粗糙度和动态啮合力对接触疲劳寿命有显著影响，齿面粗糙度增大会导致次表面最大应力向齿面移动，增加微点蚀失效风险；动态啮合力升高时，共振频率处的接触疲劳寿命明显降低。

关键词: 人字行星齿轮, 接触疲劳, 混合弹流润滑, 动态载荷

Abstract: To address the issue of missing dynamic load in the calculation method of contact fatigue life of herringbone planetary gears under mixed elasto-hydrodynamic lubrication, a new method for calculating contact fatigue life based on the iterative coupling of gear dynamic meshing force and oil film pressure is proposed. Firstly, a dynamic model of herringbone planetary gears with coupled tooth surface friction and a model of mixed elasto-hydrodynamic lubrication are established, and the tooth surface pressure and shear force are solved by the iterative coupling method. Secondly, the elastic half-space theory is used to simulate the sub-surface stress field of the gear, and the contact fatigue life is calculated based on the multi-axial fatigue criterion. Finally, the dynamic meshing characteristics, lubrication characteristics, and sub-surface stress distribution under the coupling action of dynamics and mixed elasto-hydrodynamic lubrication are studied, and the effects of dynamic meshing force and tooth surface roughness on contact fatigue life are analyzed. The research results show that the stress calculation method based on the iterative coupling of dynamic meshing force and oil film pressure can effectively simulate the real stress state of the gear sub-surface and accurately predict the contact fatigue life of herringbone planetary gears under mixed elasto-hydrodynamic lubrication. The tooth surface roughness and dynamic meshing force have a significant impact on the contact fatigue life. The increase in tooth surface roughness will cause the maximum sub-surface stress to move towards the tooth surface, increasing the risk of micro-pitting failure. When the dynamic meshing force increases, the contact fatigue life at the resonance frequency is significantly reduced.

Key words: herringbone planetary gear, contact fatigue, mixed EHL, dynamic load

中图分类号:

TH114

徐向阳, 任博, 黄开胜, 贾涵杰, 朱才朝. 基于动态啮合力-油膜压力迭代耦合的人字行星齿轮接触疲劳寿命计算方法[J]. 机械工程学报, 2025, 61(1): 199-208.

XU Xiangyang, REN Bo, HUANG Kaisheng, JIA Hanjie, ZHU Caichao. Calculation Method for Contact Fatigue Life of Herringbone Planetary Gears Based on Iterative Coupling of Dynamic Meshing Force and Oil Film Pressure[J]. Journal of Mechanical Engineering, 2025, 61(1): 199-208.

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