安装误差对双圆弧弧齿锥齿轮章动传动齿面接触特性的影响  

Effects of Installation Error on Tooth Surface Contact Characteristic of a Nutation Drive with Double Circular-arc Spiral Bevel Gear

作　　者：陈琴 黄银坤 贾超 姚立纲[1] 张俊[1] Chen Qin;Huang Yinkun;Jia Chao;Yao Ligang;Zhang Jun(School of Mechanical Engineering and Automation,Fuzhou University,Fuzhou 350108,China)

机构地区：[1]福州大学机械工程及自动化学院,福建福州350108

出　　处：《机械传动》2021年第12期85-92,共8页Journal of Mechanical Transmission

基　　金：国家自然科学基金(51875105、51775114)。

摘　　要：双圆弧弧齿锥齿轮章动传动的齿面接触特性对安装误差极为敏感。为揭示安装误差对齿面接触特性的影响规律,开展了含安装误差的双圆弧弧齿锥齿轮齿面接触分析。推导出章动式双圆弧弧齿锥齿轮齿面方程;借助齿面接触分析(TCA)获得齿轮副的齿面接触迹线和几何传动误差;通过算例分析了内、外锥齿轮锥点误差及齿轮副轴线交角误差对双圆弧弧齿锥齿轮副齿面接触特性的影响规律。研究表明,随着各项安装误差的增大,齿轮副接触迹线沿齿高方向的偏移量增大;凸、凹齿面接触迹线沿齿高方向的偏移量对安装误差变化的敏感程度不同;正的安装误差比负的安装误差对齿轮副传动误差影响更大。为获得理想的啮合性能,应合理控制章动式双圆弧弧齿锥齿轮副的安装误差。The contact characteristics of a nutation drive with double circular-arc spiral bevel gears are extremely sensitive to installation errors.To reveal the effects of installation errors on contact characteristics,the tooth surface contact analysis of double circular-arc spiral bevel gear with installation error is carried out.First⁃ly,the tooth surface equation of nutation drive double circular-arc spiral bevel gear in internal meshing form is derived.Secondly,the contact trace and geometric transmission error of the gear pair are obtained by using the tooth contact analysis(TCA).Finally,the influence of the cone point errors of inner and outer bevel gears and the axis angle errors of the gear pair on the contact characteristic of the tooth surface of the double circular-arc spiral bevel gear pair is analyzed by numerical examples.The research show that with the increase of various in⁃stallation errors,the contact trace deviates from the tooth height accordingly.The deviations of contact trace on the convex and the concave tooth surfaces from the tooth height direction are different in terms of sensitivity to installation errors.A positive installation error may have a stronger impact on the transmission error than a nega⁃tive installation error.Based on the present founding,the installation errors of a nutation drive double circulararc spiral bevel gears should be reasonably controlled to obtain an ideal meshing performance.

关 键 词：双圆弧弧齿锥齿轮 章动传动 安装误差 接触印痕 传动误差 

分 类 号：TH132.41[机械工程—机械制造及自动化]