轴向微扰下干气密封螺旋槽润滑气膜的稳定性分析

A Stability Analysis for Lubricating Gaseous Film of the Sprial Grooved Gas Seals Subjected to Axial Perturbation

推导了干气密封螺旋槽内瞬态微尺度流动场的非线性雷诺方程,应用PH线性化方法及变分运算,得到了轴向微扰下气膜反作用力的增量,继而利用复数转换和迭代法对静态下气膜边值问题进行求解,获得了气膜轴向刚度的近似解析解,并通过动态稳定性分析,获得了稳定性最佳的螺旋槽几何参数值。

A nonlinear Reynolds equation for a transient state and micro-scale flow field was derived. Using PH linearization and variation method, an increment of back action force for gaseous film subjected to axial perturbation was derived. And then the boundary value problem of steady-state for gaseous film was solved by using complex function and small parameter iterative method, and the approximate function expression of gaseous film rigidity was obtained. Optimizing geometric parameters were acquired by analyzing the dynamic stability.