Abstract: Aiming at the problems that the space surfaces of HRH gears were extremely torsional and it was difficult to correct the curvature, a tooth surface correction method of tool bidirectional trimming point contact was proposed. By using ease-off surface synthesis method, differential modification of tooth surfaces and lean topological structure design, precise control of meshing quality for point contact tooth surfaces was realized. The calculation flow of tooth surface differential lean design for surface synthesis method was established, and three topological structure design forms of light modification, inner diagonal heavy modification and inner diagonal light modification were given. The tooth surfaces meshing stiffnesses, transmission errors and load distribution characteristics of the three forms were compared by LTCA method, and the contact performance of the inner diagonal light modification was the best. The dynamic meshing performance tests of HRH gears were carried out, and ease-off gradient characteristics of point contact tooth surfaces were tested by tooth surface contact spots. The results show that the measured vibration characteristics are consistent with the mesh stiffness and loaded transmission error（LTE） theoretical simulation analysis. The gears run smoothly in a wide range of rotational speed and load, which proves that the tooth shape relation of the designed HRH gears is correct and the differential lean modification is well controlled.

Key words: high reduction hypoid(HRH) gear, differential geometry, topological modification, loaded tooth contact analysis(LTCA)

摘要： 针对高减比准双曲面(HRH)齿轮空间曲面极端扭转、曲率修正难度大的问题，提出了刀具双向修形点接触齿面修正方法。利用ease-off曲面综合法、齿面微分修形、拓扑结构精益化设计，实现了点接触齿面啮合质量的精确控制。建立了曲面综合法齿面微分精益化设计计算流程，给出了轻修形、内对角重修形、内对角轻修形三种拓扑结构设计形式；利用齿面承载接触分析（LTCA）方法，对比了上述三种形式的齿面啮合刚度、传动误差及载荷分布特性，其中内对角轻修形方式的接触性能最好。进行了HRH齿轮动态啮合性能试验，齿面接触斑点检验了点接触齿面ease-off梯度特征。研究结果表明，实测振动特性变化规律与啮合刚度、承载传动误差（LTE）理论仿真分析一致。齿轮在较宽转速与载荷范围运转平稳，验证了所设计HRH齿轮的齿形关系正确，微分精益化修形控制良好。

关键词: 高减比准双曲面齿轮, 微分几何, 拓扑修形, 齿面承载接触分析