华南理工大学学报(自然科学版) ›› 2025, Vol. 53 ›› Issue (9): 106-116.doi: 10.12141/j.issn.1000-565X.240586

• 机械工程 • 上一篇    下一篇

高减速比准双曲面齿轮齿面主动设计及性能优化

纪姝婷  李嘉豪  张跃明   

  1. 北京工业大学 机械与能源工程学院,北京 100124
  • 出版日期:2025-09-25 发布日期:2025-03-21

Active Tooth Surface Design and Performance Optimization of High Reduction Ratio Hypoid Gears

JI Shuting  LI Jiahao  ZHANG Yueming   

  1. School of Mechanical and Energy Engineering, Beijing University of Technology, Beijing 100124, China
  • Online:2025-09-25 Published:2025-03-21

摘要:

为了提升高减比准双曲面齿轮综合传动性能,提出了一种基于齿面主动设计技术的齿面接触迹线大倾斜设计方法。首先预置多个接触迹线倾斜程度不同的齿面印痕,分别预置其接触椭圆长半轴和接触迹线长度,并对小轮共轭齿面进行抛物线修形,得到符合预置齿面参数的齿面。然后结合齿面接触分析(TCA)和齿面承载接触分析(LTCA)技术,获得各齿面的传动误差幅值(TE)、承载传动误差幅值(ALTE)、齿面载荷分布情况、齿根弯曲应力幅值及齿面闪温幅值,并分析接触迹线长度的变化对这些性能参数的影响。最后根据结论选取一个最终的目标修形齿面,分析其综合性能,并与原始齿面作比较。算例表明,对于一副齿数比为5:75的高减速比准双曲面齿轮,在齿面接触迹线大倾斜情况下,其长度越长,齿面接触应力越小,齿根弯曲应力与齿面闪温也随之减小。目标齿面边缘接触情况减弱,齿根最大弯曲应力降低了12%,接触应力分布更均匀;齿面最高闪温下降6.3%,胶合承载能力提升。修行后的目标齿面接触区性能更加优良,承载能力更好,且综合传动性能显著提升。

关键词: 高减比准双曲面齿轮, 主动设计, 修形, 承载接触分析, 承载传动误差, 齿面闪温

Abstract:

To enhance the comprehensive transmission performance of hypoid gears with high reduction ratios, a design method for significantly inclined contact lines based on active tooth surface design technology is proposed. Initially, multiple tooth surface imprints with varying degrees of contact line inclination are preset, along with their corresponding major axes of contact ellipses and lengths of contact lines. The pinion conjugate tooth surface is then modified with a parabolic shape to achieve a tooth surface that meets the preset parameters. Subsequently, by integrating Tooth Contact Analysis (TCA) and Load Tooth Contact Analysis (LTCA) techniques, the transmission error amplitude (TE), amplitude of loaded transmission error (ALTE), tooth surface load distribution, root bending stress amplitude, and tooth surface flash temperature amplitude are obtained for each tooth surface. The impact of changes in contact line length on these performance parameters is analyzed. Based on the findings, a final target modified tooth surface is selected, and its comprehensive performance is analyzed and compared with the original tooth surface. A case study demonstrates that for a hypoid gear pair with a gear ratio of 5:75, under conditions of significantly inclined contact lines, the longer the contact line, the smaller the tooth surface contact stress, and the root bending stress and tooth surface flash temperature also decrease accordingly. The edge contact condition of the target tooth surface is mitigated, with the maximum root bending stress reduced by 12%, and the contact stress distribution becomes more uniform. The highest tooth surface flash temperature decreases by 6.3%, enhancing the scuffing load capacity. The modified target tooth surface exhibits superior contact zone performance, improved load capacity, and significantly enhanced comprehensive transmission performance.