狭缝节流气体静压润滑方程式的离散化和相容性条件

提出了一种将常用不同结构形式的狭缝节流气体静压轴承基本方程式的相容变换条件,把结构种类繁多的狭缝节流气体静压轴承的分析,变换成统一的等价标准形式轴承的计算,使自动化编程成为可能。还利用加权余量法把偏微分方程式离散化,把二阶偏微分方程降阶为一阶,放松了对插值函数连续度的要求,便于借助有限元技术分析狭缝节流气体静压轴承的流场参数,给出了计算轴承承载特性的方法。同时,将该方法成功地应用于动压轴承的计算中。

DISCRETIZATION AND CONSISTENT CONDITIONS OF LUBRICATION EQUATIONS FOR EXTERNALLY PRESSURIZED GAS BEARINGS WITH SLOT RESTRICTORS

The consistent transform conditions are proposed that deal with the lubrication equations for various structures of externally pressurized gas bearing with slot restrictors. The consistent transform method can map Reynolds Equations in different coordinates into uniform equivalent form that makes automated programming possible. During the discretization procedure, the weighted residual method is adopted that reduces the second-order partial differential equation to one-order, which releases the requirement of continuity degree of the interpolation function while finite element method is adopted. The flow field parameters, such as load capacity, attitude angle and pressure distribution, are analyzed for externally pressurized gas bearing with slot restrictors, even in high speed. Furthermore, the method is extended to dynamic gas bearings successfully.