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

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)