Abstract: 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 oneorder,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.

Key words: Externally pressurized gas bearing, Reynolds equation, Slot restrictors Consistent conditions, High nitrogen steel, Mechanics analysis, Metal droplet, Laser-arc hybrid welding