Abstract: In order to enhance the understandings of the effects of slip boundary on air bearings performance and improve the accuracy of air bearing design，taking foil hydrodynamic bearings as study object，a dimensionless form of time-dependent compressible fluid Reynolds governing equation under slip boundary was derived. By the use of Finite Difference Method and Newton-Raphson method，the corresponding central difference format was established. The slip boundary’s influence on the pressure distribution，load capacity and attitude angle of foil air bearing was discussed. Then，a comparative sensitivity analysis of the rigid air bearing and foil air bearing which had the same structure parameters to slip boundary was made. Finally，drawing a conclusion，due to the elastic deformation of the foil air bearing，the sensitivity of the foil air bearing to the slip boundary is much less than that of the rigid air bearing.

Key words: Slip boundary；Air bearings；Governing equation；Sensitivity

摘要： 为增进滑移边界对空气轴承性能影响的认识，提高空气轴承设计的准确性，以波箔式动压轴承为研究对象，推导了滑移边界下无量纲形式的压缩性流体非定常Reynolds控制方程；采用有限差分法(Finite Difference Method，FDM)及Newton-Raphson方法，建立了相应的差分格式；讨论了滑移边界对波箔型轴承的压力分布、承载力及偏位角的影响；最后，对比分析考虑滑移边界下，结构参数相同的波箔轴承及刚性轴承性能对滑移边界的敏感度。结果表明，由于波箔轴承的弹性变形，波箔轴承对滑移边界的敏感程度远小于刚性轴承。

关键词: 滑移边界；空气轴承；控制方程；敏感度