基于格心型有限体积法的滑动轴承液膜压力分析

Analysis on the film pressure of journal bearings based on the cell-centered finite volume method

在生产设计中,为了达到良好的润滑效果,滑动轴承的轴瓦通常会采用开槽的结构,对某些复杂结构的轴瓦,采用规则化网格很难准确描述其几何特征,其润滑特性的计算也会出现偏差。为了解决该问题,采用非结构化网格划分求解域,基于格心型有限体积法离散雷诺方程,采用最小二乘法计算变量梯度,采用共轭梯度法求解方程,通过Fortran语言编程,计算得到轴承的液膜压力分布。通过对比和分析,验证了格心型有限体积法求解润滑问题的适用性和准确性。以该算法为基础,研究了轴承的长径比、偏心率对液膜压力分布的影响。结果表明,长径比增大会降低轴承的峰值压力,同时扩大高压区沿轴承宽度方向的分布;增大偏心率会提高轴承的压力峰值。

In order to investigate the film pressure distribution of journal bearings using irregular grids, the Reynolds equation was discretized with the cell-centered finite volume method. The least square method was selected to calculate the variable’s gradients, and the conjugate gradient method was used to solve the equations. The whole numerical algorithm was programmed with Fortran language and the film pressure was achieved finally. The adaptation and accuracy of the algorithm have been validated by comparison and analysis. The influences of the aspect ratio and eccentricity ratio on the pressure distribution were studied, and the results show that the pressure peak value decreases as the aspect ratio increases and the distribution range of higher pressure is expanded along the axis direction, moreover, the pressure peak value becomes larger as the eccentricity ratio increases.