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1 International Journal of Applied Mechanics and Engineering

1 2002

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Effects of surface roughness and rotational inertia on the optimal stiffness of hydrostatic thrust bearings

Lin J. R., Chiang Ch., F.

International Journal of Applied Mechanics and Engineering

2002

Vol. 7, no 4

1247-1261

Based upon Christensen's stochastic model, this paper studies the optimal stiffness of hydrostatic thrust bearings including the effects of surface roughness and rotational inertia. The mean film pressure for a capillary-compensated circular step bearing is solved from the stochastic Reynolds-type equation together with the stochastic recess flow continuity equation. By applying the maximum principle, a closed-form equation determining the critical recess pressure is obtained for the bearing operating at any given film thickness. From the results obtained, the apparent influence of surface roughness upon the maximum bearing stiffness is more pronounced with higher values of radius ratio, rotation number, and roughness parameter. For engineering practice, a guiding example for the optimal operation is also given.