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The objective of this paper is to study the effects of surface roughness on the dynamic squeezing behavior of partial journal bearing with finite width. First, the Reynolds’ equation can be derived from the continuity equation and the momentum equation. By considering the roughness as a normal distribution, one can choose a polynomial approximate function as the stochastic film thickness to simulate the Gaussian height distribution. Then, by using the theorem of the stochastic models, longitudinal, transverse and uniform isotropic roughness types of stochastic Reynolds’ equation can be obtained.
After that, the stochastic Reynolds’ equation is expanded by the scheme of finite difference and then, the Conjugate Gradient method (CGM) was applied to solve the pressure distribution of dynamic squeezing film numerically; further, the force working on the hydrodynamic squeezing film can be obtained by integration. Finally, solving the Reynolds’ equation of motion by using the fourth-order Runge-Kutta method, the relationship between velocity, eccentricity and the max eccentricity of journal at different roughness parameters, time-dependent oscillating load and Sommerfeld number are acquired.
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