In this paper a numerical solution for the elastohydrodynamic lubrication of a finite porous journal bearing is presented. The Brinkman–extended Darcy model was applied within the porous layer to incorporate the viscous shear stresses into the analysis. A simple elastic model is used to describe the elastic deformation of the liner. An inverse model is introduced to estimate the permeability parameter and/or the eccentricity ratio from experimentally obtained pressure data. As experimental measurements were not conducted, these data were simulated numerically. It consists of a direct solution for the pressure, for given parameters (permeability parameter and/or the eccentricity ratio), to which a normally distributed random error is added. The least-squares optimization technique is used to solve the proposed inverse problem. A unique solution was obtained for one-parameter estimation. The two-parameter estimation case, however, leads to multiple solutions lying on a constant load line.
Direct and Inverse Solutions for Elastohydrodynamic Lubrication of Finite Porous Journal Bearings
Contributed by the Tribology Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for presentation at the STLE/ASME Tribology Conference, Seattle, WA, October 1–4. Manuscript received by the Tribology Division Jan. 27, 2000; revised manuscript received June 27, 2000. Paper No. 2000-TRIB-26. Associate Editor: L. S. Andre´s.
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Elsharkawy , A. A., and Guedouar, L. H. (June 27, 2000). "Direct and Inverse Solutions for Elastohydrodynamic Lubrication of Finite Porous Journal Bearings ." ASME. J. Tribol. April 2001; 123(2): 276–282. https://doi.org/10.1115/1.1308025
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