渐开线斜齿圆柱齿轮的微观热弹流润滑分析

摘要

By assuming the surfaces of two mutual meshed helical gears with continuous cosine wave shape roughness, the steady state model of micro thermal elastohydrodynamic lubrication (EHL)of helical gears was established,and the completely numerical solution was got by using the multiple grid method to calculate the pressure distribution and the grid integration method to calculate the elastic deformation.The influences of the roughness amplitude and wavelength on the film pressure,film thickness and the middle temperature of the film were analyzed.The results show that rough surface is not conducive to the formation of lubrication film,and the film thickness,pressure and temperature hierarchical bulges are appeared in the surface when considering the roughness.The oil film thickness,pressure and temperature are decreased as the wavelength increases,and the oil film thickness,pressure and temperature curves are obviously in fluctuation as the amplitude increases.Therefore in engineering practice,the wavelength of roughness should be increased and the amplitude should be reduced in order to achieve stable mechanical transmission.%假设两相互啮合渐开线斜齿轮表面具有连续余弦波状粗糙度，建立斜齿轮微观稳态热弹流模型，利用多重网格法求解压力分布和多重网格积分法求解弹性变形，讨论粗糙度幅值和波长对油膜压力、膜厚及油膜中层温度的影响。结果表明：粗糙表面不利于润滑膜的形成，考虑粗糙度的表面使膜厚、压力及温度分布均出现层状鼓层现象；随着波长的增大，油膜厚度、压力及温度波动幅度有所减小，而随着波幅的增大，膜厚、压力及温度曲线均明显波动。因此，在工程实际中，要尽量增大粗糙度波长，减小粗糙度波幅以实现平稳的机械传动。