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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。
The calculation method of generalized Reynolds equation which accounts for the change of temperature viscosity is studied. Based on the variational principle that satisfies the generalized Reynolds equation under the Reynolds boundary condition and the variational inequality equation equivalent to it, the hyperbolic cosine function of the direction of the pressure axis is determined by taking the extremum of the variational function variable and the variational equation. The original two-dimensional variational inequality equation for solving oil film pressure is reduced to one-dimensional form. A modified catch-up method is proposed to solve the one-dimensional finite element equation. Without iteration, the oil film pressure and oil film rupture boundary can be directly calculated. This method is suitable for the generalized Reynolds equation that the viscosity field is only a function of the circumferential and radial coordinates and is applicable to the calculation of the nonlinear oil film force of a multi-walled bearing with a total number of pads greater than two.