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建立了考虑润滑油粘热效应的滑动轴承热流体动力润滑分析模型,采用有限元法分析滑动轴承油膜压力和温度分布。对有限元方程关于扰动项求导直接得到油膜压力对于各扰动项的偏导数,并且通过油膜压力对于扰动项的偏导数构建油膜力Jacobi矩阵。采用Newton-Raphson方法确定给定静载下的轴承平衡位置,同时不需要额外的计算即可通过油膜力Jacobi矩阵获得滑动轴承动力特性系数。通过算例研究了轴承几何参数对滑动轴承动力系数的影响。分析结果表明,油膜温度对轴承刚度系数的影响大于阻尼系数;在轴承偏心率较小时,轴承承载力和刚度系数随转速的增加而增大;而在轴承偏心率较大时,轴承承载力和刚度系数随转速的增加而减小。
The thermo-hydrodynamic lubrication analysis model of the sliding bearing considering the viscous effect of lubricating oil was established. The oil film pressure and temperature distribution of the sliding bearing were analyzed by finite element method. Derivation of the finite element equation perturbation term directly obtains the partial derivative of the oil film pressure for each perturbation term and constructs the Jacobi matrix of the oil film force on the partial derivative of the perturbation term by the oil film pressure. The Newton-Raphson method was used to determine the equilibrium position of a bearing under a given static load. At the same time, the coefficient of dynamic characteristics of a plain bearing can be obtained by Jacobi matrix of oil film force without additional calculation. The effect of bearing geometrical parameters on the dynamic coefficient of sliding bearing is studied by an example. The results show that the influence of oil film temperature on the stiffness coefficient of the bearing is greater than that of the damping coefficient. When the eccentricity of the bearing is small, the bearing capacity and stiffness coefficient of the bearing increase with the increase of the rotation speed. When the bearing eccentricity is large, The stiffness coefficient decreases as the speed increases.