收稿日期: 2025-03-21
网络出版日期: 2025-05-20
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)
Tooth Flank Optimization Design of Hypoid Gear with Low Installation Error Sensitivity
Received date: 2025-03-21
Online published: 2025-05-20
Supported by
the National Key Research and Development Program of China(2023YFB4704200);the National Natural Science Foundation of China(51905009);the Key Research and Development Program of Hebei Province(20311802D)
针对准双曲面齿轮参数设计不当，造成接触特性对安装误差极为敏感，并产生振动噪声等问题，提出了面向安装误差敏感度降低的齿轮优化设计方法。首先，提出了考虑安装误差的齿面接触特性评价模型，包括接触区域面积变化量、接触迹线中心值偏移量、传动误差曲线转换点幅值变化量。然后，提出了可降参的NURBS曲面拟合方法，开展齿面接触分析，建立了安装误差、齿面预设控制参数、齿面加工参数和接触特征参数的映射关系。进而，揭示了安装误差对齿面接触特性的影响规律，构建了单项接触特征参数对安装误差的综合敏感度模型，以敏感度分析结论为基础，提出了总体接触特性对安装误差的敏感度评价方法。最后，以敏感度最低为优化目标，采用遗传算法开展了齿面预置参数的优化设计。以两组典型工况为例，通过优化前后的啮合特性对比分析发现，优化后的齿面接触区域面积、接触迹线中心点坐标与传动误差的变化量对安装误差的敏感度均有所下降。提出的齿面优化设计方法，可以有效改善齿面接触特性对安装误差极为敏感的问题，降低传动中的振动和噪声。
纪姝婷 , 翟梓楦 , 张跃明 , 袁尔浩 , 卞馨仪 , 张青 . 准双曲面齿轮低安装误差敏感度的齿面优化设计[J]. 华南理工大学学报(自然科学版), 2025 , 53(10) : 97 -108 . DOI: 10.12141/j.issn.1000-565X.250079
Regarding problems such as the contact characteristics being extremely sensitive to installation error and generating vibration and noise caused by improper parameters design of hypoid gears, this paper proposed an optimized design method for gear aimed at reducing sensitivity to installation error. Firstly, it proposed a tooth flank contact characteristics evaluation model considering the installation error, including the variation of contact area, the offset of contact trace center value, and the variation of the conversion point amplitude of the transmission error curve. Then, it proposed a NURBS surface fitting method with reduced parameters and carried out tooth flank contact analysis. The mapping relationships among the installation error, the preset control parameters of tooth flank, the machining parameters of tooth flank and the contact characteristic parameters were established. Continuing, this study elucidated the influence patterns of installation error on tooth flank contact characteristics. It established a comprehensive sensitivity model for individual contact characteristic parameter relative to installation error. Finally, with the lowest sensitivity as the optimization goal, the genetic algorithm was used to optimize the design of the preset parameters of the tooth flank. Taking two typical operation condition as an example, through the comparative analysis of the meshing characteristics before and after optimization, it is found that the sensitivity of the optimized tooth flank contact area, the center point coordinates of the contact trace and the variation of the transmission error to the installation error are reduced. The tooth flank optimization design method proposed in this paper can effectively solve the problem that the tooth flank contact characteristics are extremely sensitive to the installation error, and reduce the vibration and noise in the transmission.
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