滑动轴承广义雷诺方程的一维快速解法  

The One-dimensional Rapid Algorithm for the Generalized Reynolds Equation of Journal Bearings

作　　者：刘大全[1] 苗同臣[1] 

机构地区：[1]郑州大学工程力学系,河南省郑州市450002

出　　处：《中国电机工程学报》2010年第29期85-89,共5页Proceedings of the CSEE

基　　金：河南省教育厅自然科学研究计划项目(2008B130002)~~

摘　　要：对计及温黏变化的广义雷诺方程的计算方法进行研究。基于满足雷诺边界条件下的广义雷诺方程的变分原理和与其等价的变分不等方程,将压力函数分离变量,变分方程取极值,确定出压力轴方向双曲余弦函数式,从而将原本求解油膜压力的二维变分不等方程降阶为一维形式;提出修正的追赶法求解一维有限元方程,无须迭代,可直接计算油膜压力和油膜破裂边界。该方法适用于广义雷诺方程中黏度场只是周向和径向坐标的函数,适用于瓦块总数大于2块的多瓦轴承非线性油膜力计算。A rapid algorithm of the generalized Reynolds equation considering thermal effects was presented.Based upon the variational approach,variational inequality and complementary problem,which were equivalent to the generalized Reynolds equation under Reynolds boundary condition,the film pressure distribution in the axial direction could be solved analytically and the two-dimensional variational inequality reduced to one-dimensional form by partitioning the film pressure function and minimizing the variational approach.The modified forward elimination and backward substitution algorithm was illustrated.The most important feature of this method is that no iteration process is needed to solve the pressure of nodal points and to determine the boundary of the film rupture region.The technique described here is valid for the generalized Reynolds equation with spatially varying viscosity as long as the variation in the bearing axial direction may be neglected.At the same time,the solution of the nonlinear oil-film forces for circular journal bearing can not be obtained by the presented technique.

关 键 词：滑动轴承 广义雷诺方程 变分不等方程 修正的追赶法 非线性油膜力 

分 类 号：TM133[电气工程—电工理论与新技术]