Fluid Inertia Effects on the Characteristics of Spherical Hydrostatic Bearings : Part 1 Bearing Forces
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Based on a first-order perturbation solution in a modified Reynolds number, an analysis is presented to determine the fluid inertia effects on the dynamic characteristics of a spherical hydrostatic bearing that has a continuous spherical surface. This analysis demonstrates that fluid inertia influences the load capacity and dynamic properties. The corrections to the conventional elastic and damping coefficients derived on the assumption that inertia forces are negligible, are found not too small to neglect when inertia parameter δ=ρω^2r_0^2/p^★>0.1 (ρ=lubricant density, ω=rotational angular velocity, r_0=radius of spherical bearing, p^★=ambient pressure). And the acceleration coefficients may become significant when the displacement of a rotor from the bottom of the bearing is smal1.
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