Xuan Jiamin, Li Haitao, Zhang Wei
Cryogenic fluid equipment R&D Zhejiang Engineering Research Center, Zhejiang Institute of Mechanical and Electrical Engineering, Hangzhou, 310053, Zhejiang, China.
College of Engineering, China Agricultural University, Beijing, 100083, China.
Sci Rep. 2024 May 21;14(1):11541. doi: 10.1038/s41598-024-62488-z.
A novel optimization method to control the symmetry of contact paths on the concave and convex tooth surfaces of the gear then improves the meshing quality was proposed. By modifying the angular setting of the head cutter when cutting the pinion, the direction angles of the two contact paths are equated to estimate their symmetry. The relation between the direction angles is formulated precisely, the influence of the angular setting on the contact paths is investigated, and the equations for obtaining the values of the machine tool settings are derived. The proposed method is applied to a numerical example of a Spirac hypoid gear pair, and the results reveal that the contact paths on the concave and convex tooth surfaces are approximately symmetrical and the transmission errors of both sides are comparable.
提出了一种新颖的优化方法，用于控制齿轮凹、凸齿面上接触路径的对称性，进而提高啮合质量。通过在切削小齿轮时修改刀头的角度设置，使两条接触路径的方向角相等以评估其对称性。精确推导了方向角之间的关系，研究了角度设置对接触路径的影响，并得出了获取机床设置值的方程。将所提出的方法应用于Spirac准双曲面齿轮副的数值算例，结果表明凹、凸齿面上的接触路径近似对称，两侧的传动误差相当。
