准双曲面齿轮研齿表面微观形貌预测方法

doi:10.3901/JME.2025.24.001

摘要/Abstract

摘要： 为探究研齿工艺参数与表面加工质量的关联规律，解决研齿齿面微观几何形貌主动计算预测难题，提出一种准双曲面齿轮研齿表面微观形貌预测方法。首先建立准双曲面齿轮研齿啮合运动模型进行齿面接触分析，在综合考虑研齿加工特点及研磨液对表面微观形貌创成规律的基础上，推导研齿磨粒切削深度公式，然后在初始轮廓上进行材料去除计算，预测研齿后齿面高度参数。再对预测结果采用快速傅里叶变换法进行表面重构，建立考虑初始形貌与随机磨损机制的研齿表面微观形貌预测模型。通过与某汽车驱动桥的主减速器齿轮的研齿试验结果比对，证明该模型可以有效预测准双曲面齿轮研齿表面微观形貌。最后设计不同研齿加工参数组合，讨论了其对表面粗糙度的变化规律。

关键词: 准双曲面齿轮, 研齿, 微观形貌建模, 粗糙度预测

Abstract: In order to explore the relationship between lapping process parameters and surface machining quality, to solve the problem of active calculation of micro-topography of the gear lapping surface, a method for predicting the micro-topography of hypoid gear lapping surfaces is proposed. Firstly, the meshing motion model of hypoid gears is established and tooth contact analysis is carried out. On the basis of comprehensive consideration of the characteristics of the gear lapping process and surface generation laws by lapping fluid, the formula for the cutting depth of the lapping abrasive particles is derived. Then, material removal calculations are performed on the initial profile to predict the height parameters of the tooth surface after lapping. The predicted results are then subjected to surface reconstruction using the Fast Fourier Transform method, and a micro-topography prediction model for the lapping surface considering initial workpiece topography and random wear mechanisms is established. By comparing with the lapping test results of the main reducer gear of a certain automobile drive axle, it is proven that this model can effectively predict the micro-topography of the hypoid gear lapping surface. Finally, different combinations of lapping process parameters are designed to discuss their influence on surface roughness variations.

Key words: hypoid gear, lapping, micro-topography modeling, roughness prediction

中图分类号:

TG61

侯津博, 欧阳芳婷, 唐进元, 丁撼. 准双曲面齿轮研齿表面微观形貌预测方法[J]. 机械工程学报, 2025, 61(24): 1-11.

HOU Jinbo, OUYANG Fangting, TANG Jinyuan, DING Han. Prediction Method for Lapping Surface Micro-topography of Hypoid Gear[J]. Journal of Mechanical Engineering, 2025, 61(24): 1-11.

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