收稿日期: 2024-12-18
网络出版日期: 2025-03-21
基金资助
国家重点研发计划项目(2023YFB4704200);国家自然科学基金项目(51905009);河北省重点研发计划项目(20311802D)
Active Tooth Surface Design and Performance Optimization of High Reduction Ratio Hypoid Gears
Received date: 2024-12-18
Online published: 2025-03-21
Supported by
the National Key R & D Program of China(2023YFB4704200);the National Natural Science Foundation of China(51905009);the Key R & D Program of Hebei Province(20311802D)
为提升高减速比准双曲面齿轮的综合传动性能，该文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，并分别设定其接触椭圆长半轴和接触迹线长度，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（ATE）、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，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。算例分析结果表明，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，接触迹线长度越长，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12.0%，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，修形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。
纪姝婷 , 李嘉豪 , 张跃明 . 高减速比准双曲面齿轮齿面主动设计及性能优化[J]. 华南理工大学学报(自然科学版), 2025 , 53(9) : 106 -116 . DOI: 10.12141/j.issn.1000-565X.240586
To enhance the comprehensive transmission performance of hypoid gears with high reduction ratios, this paper proposed a design method for significantly inclined contact lines based on active tooth surface design techno-logy. Firstly, multiple tooth surface imprints with varying degrees of contact line inclination were preset, with specified values for the semi-major axis of the contact ellipse and the length of the contact trace. The pinion conjugate tooth surface was 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 amplitude of transmission error (ATE), amplitude of loaded transmission error (ALTE), tooth surface load distribution, root bending stress amplitude, and tooth surface flash temperature amplitude were obtained for each tooth surface. The influence of variations in contact trace length on these performance parameters was then analyzed. Finally, a target modified tooth surface was selected, and its comprehensive performance was analyzed and compared with that of the original tooth surface. A case study demonstrates that for a hypoid gear pair with a gear ratio of 5∶75, under conditions of highly inclined contact trace on the tooth surface, a longer contact trace length leads to lower contact stress, as well as reduced root bending stress and flash temperature on the tooth surface. The target tooth surface exhibits weakened edge contact, a 12.0% reduction in maximum root bending stress, more uniform contact stress distribution, and a 6.3% decrease in peak flash temperature. As a result, the scuffing load-carrying capacity is enhanced. Overall, the modified target tooth surface exhibits superior contact performance, better load-carrying capacity, and significantly enhanced comprehensive transmission performance.
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