误差因素对弧齿锥齿轮传动接触的影响  

Influence of Error Factors on Transmission Contact for Spiral Bevel Gears

作　　者：王明阳[1] 李舒文 孙月海[1] Wang Mingyang;Li Shuwen;Sun Yuehai(Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education,Tianjin University,Tianjin 300354,China)

机构地区：[1]天津大学机构理论与装备设计教育部重点实验室,天津300354

出　　处：《机械传动》2023年第7期9-16,共8页Journal of Mechanical Transmission

基　　金：国家自然科学基金项目(51875395)。

摘　　要：线接触弧齿锥齿轮传动为全齿面接触,对误差较为敏感。为揭示误差因素对线接触弧齿锥齿轮传动接触的影响规律,开展了含误差因素的接触仿真分析。首先,基于刀盘逼近加工方法,建立了线接触弧齿锥齿轮的加工齿面数学模型,并验证了齿面模型的正确性;然后,基于该模型,分析了不同精度等级下的安装误差和齿距偏差对线接触弧齿锥齿轮传动接触的影响及对齿面接触应力和弹性变形的影响规律。数据分析结果表明,线接触弧齿锥齿轮传动因误差因素会产生边缘接触,主要表现在齿顶处,之后是小端,齿根和大端处不明显;在分析的多种误差中,齿距偏差和小轮轴线误差对齿面接触应力和弹性变形的影响较大,之后是轴交角误差和轴间距误差,大轮轴线误差的影响最小。研究结论可为线接触弧齿锥齿轮传动的误差控制和修形设计提供参考。The full tooth flank contact characteristic of the line contact spiral bevel gear transmission is sensitive to errors.To obtain the influence of error factors on transmission contact for line contact spiral bevel gears,the contact simulation analysis with error factors is carried out.Firstly,based on the cutter head approxi⁃mation machining method,a tooth flank mathematical model of the line contact spiral bevel gear is developed,and the correctness of this model is verified.Then,based on this model,the influence of installation errors and pitch deviation for line contact spiral bevel gears with different accuracy levels are analyzed,and the change law of the contact stress and deformation for the mating flank are obtained.The results show that,due to error fac⁃tors,the line contact spiral bevel gear transmission will produce edge contact,which is mainly shown at the top,and then at the toe,not obvious at the root and the heel.Among the various errors analyzed,the pitch deviation and the pinion axis error have the great influence on the contact stress and deformation of the tooth flank,fol⁃lowed by the shaft spacing error and the shaft angle error,and finally the gear axis error.The research results can provide reference for the error control and modification design of the line contact spiral bevel gear.

关 键 词：弧齿锥齿轮 线接触 齿距偏差 安装误差 接触仿真 

分 类 号：TH132.41[机械工程—机械制造及自动化]