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air bearing analysis angle applied ASME Journal asperity contact axial ball behavior boundary conditions calculated cavitation clearance cm/deg coated Copyright Copyright Clearance Center crack damping damping ratio deformation dimensionless disk displacement dynamic Eccentricity Ratio effect elastic elastic modulus experimental factor fatigue Figure film thickness flow flying height foil bearings force frequency friction torque function groove Hertzian hydrodynamic Hydrodynamic Lubrication increases inlet interface Journal Bearings Journal of Tribology layer load Manuscript received material matrix maximum measured MECHANICAL ENGINEERS meniscus method minimum film thickness misalignment nondimensional normal numerical obtained oil-film parameters particles percent porous predicted present pressure distribution radial radius region Reynolds equation rolling rotation rotor rotordynamic rough surface seal shaft shear stress shown in Fig simulation slider solution solvation speed static steady-state steel stiction stiffness surface roughness temperature thermal tion torque Tribology Division values velocity viscosity