含扭曲误差的鼓形斜齿轮接触分析

doi:10.3901/JME.2024.03.143

机械工程学报 ›› 2024, Vol. 60 ›› Issue (3): 143-154.doi: 10.3901/JME.2024.03.143

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含扭曲误差的鼓形斜齿轮接触分析

杜彦斌^1,2, 汪澳婷^1,3, 何坤^1,2,3

1. 重庆工商大学智能装备绿色设计与制造重庆市重点实验室重庆 400067;
2. 重庆机床(集团)有限责任公司重庆 401336;
3. 重庆工商大学机械工程学院重庆 400067

收稿日期:2023-07-21 修回日期:2023-10-30 出版日期:2024-02-05 发布日期:2024-04-28
通讯作者: 何坤,男,1990年出生,博士,副教授。主要研究方向为精密加工技术及装备、复杂曲面磨削技术。E-mail:2017045@ctbu.edu.cn
作者简介:杜彦斌,男, 1982 年出生,博士,教授。主要研究方向为绿色制造、齿轮绿色精密加工等。E-mail:duzi2009@163.com
基金资助:
国家重点研发计划(2020YFE0201000)、重庆市自然科学基金(CSTB2022NSCQ-MSX0374)、重庆市高校创新研究群体(CXQT21024)、中国博士后科学基金(2021M700618)和重庆市博士后研究特别(2021XMT005)资助项目。

Tooth Contact Analysis of Helical Gears with Longitudinal Modification Considering Twist Errors

DU Yanbin^1,2, WANG Aoting^1,3, HE Kun^1,2,3

1. Chongqing Key Laboratory of Green Design and Manufacturing of Intelligent Equipment, Chongqing Technology and Business University, Chongqing 400067;
2. Chongqing Machine Tool (Group), Ltd., Chongqing 401336;
3. College of Mechanical Engineering, Chongqing Technology and Business University, Chongqing 400067

Received:2023-07-21 Revised:2023-10-30 Online:2024-02-05 Published:2024-04-28

摘要/Abstract

摘要： 基于修形齿面的扭曲误差产生机理,推导出含扭曲误差的鼓形斜齿轮齿面数学方程;建立含扭曲误差的主动轮鼓形齿与未修形从动轮的轮齿接触分析(Tooth contact analysis, TCA)模型;并从计算齿面扭曲量的公式中选取螺旋角和修形量两个主要设计参数,分析其对传动误差和接触椭圆的影响规律。结果表明:齿向修形斜齿轮的修形量和螺旋角越大,齿面扭曲现象越严重;修形量和螺旋角增大使得传动误差幅值增大,影响传动平稳性;修形量对接触椭圆面积的影响小,而螺旋角增大,接触椭圆面积减小,使得接触应力增大,通过有限元分析验证螺旋角和修形量对齿面接触应力的影响;通过调整修形量和螺旋角可以控制扭曲量、传动误差幅值和接触椭圆面积,这对齿向修形斜齿轮的优化设计有较大的参考价值。

关键词: 齿向修形, 齿面扭曲, 设计参数, 轮齿接触分析, 传动误差

Abstract: Based on the generation mechanism of the twist error of the modified tooth flank, the mathematical equations of the tooth flank of helical gear with longitudinal modification considering twist error are derived. The tooth contact analysis (TCA) model of drum-shaped driving pinion and no modification driven gear with the twist errors is built, and the two main design parameters, helix angle and the amount of drum-shaped modification are selected from the formula for calculating the amount of tooth flank twist to analyze their influence on transmission error and contact ellipse. The results show that the larger the modified amount and helix angle of the helical gear is, the more serious the tooth flank twist is; the increase of the modified amount and helix angle makes the transmission error increase, which affects the stability of transmission; the effect of the modified amount on the contact ellipse area is small, while the helix angle increases, the contact ellipse area decreases, which makes the contact stress increase, and the effect of the helix angle and the modified amount on the tooth contact stress are verified by finite element analysis. By adjusting the modified amount and helix angle, the amount of twist, transmission error, and contact ellipse area can be controlled, which has a great reference value for the optimal design of the modified helical gear.

Key words: lead modification, tooth flank twist, design parameters, tooth contact analysis, transmission error

中图分类号:

TH132

杜彦斌, 汪澳婷, 何坤. 含扭曲误差的鼓形斜齿轮接触分析[J]. 机械工程学报, 2024, 60(3): 143-154.

DU Yanbin, WANG Aoting, HE Kun. Tooth Contact Analysis of Helical Gears with Longitudinal Modification Considering Twist Errors[J]. Journal of Mechanical Engineering, 2024, 60(3): 143-154.

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含扭曲误差的鼓形斜齿轮接触分析

Tooth Contact Analysis of Helical Gears with Longitudinal Modification Considering Twist Errors

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