齿轮粗糙界面时变啮合刚度算法与特性分析

Time‑Varying Meshing Stiffness of Gear Tooth Considering Surface Roughness

基于粗糙界面的分形接触模型,引入曲面接触系数来表征齿轮在啮合过程中曲率和基体变形对啮合界面微凸体分布函数的影响,提出了一种考虑齿轮啮合界面粗糙形貌的齿轮时变啮合刚度修正算法,获得了表面形貌参数、材料特性参数和输入转矩对齿轮时变啮合刚度特性的影响规律。结果表明,齿轮时变啮合刚度随着表面粗糙度的增大而减小,随着材料强度和输入转矩递增。

The meshing stiffness of the gear transmission system varies with the surface topography of the gear meshing interface,which directly affects the transmission precision and stability of the gear transmission system.In this paper,an improved time-varying meshing stiffness algorithm is proposed to incorporate the effect of sur⁃face topography of the gear mesh interface based on the fractal contact model of the rough surface.In addition,the curved surface contact coefficient is introduced to characterize the influence of tooth meshing curvature and foundation deformation on the distribution function of micro-asperities at the meshing interface.Besides,effects of surface topography,material characteristic and input torque on the time-varying gear meshing stiffness are in⁃vestigated.The results show that the meshing stiffness reduces with increasing surface roughness,whilst in⁃creases with increasing material strength and input torque.