Abstract
Within the framework of stochastic surface roughness representation, a recently derived Reynolds-type equation has been employed by the authors to compute the average values of a bearing's operational parameters. To enhance the understanding of hydrodynamic lubrication phenomena in rough bearings, it is necessary to account for the stochastic nature of these parameters by evaluating their higher-order moments, such as variance. This study aims to derive and quantify equations for the computation of these higher-order moments. Specifically, the paper presents equations for the variance of key operational parameters, including pressure, load-carrying capacity, friction force, and friction coefficient, in both finite-width slider and journal bearings. Furthermore, Raimondi-Boyd-like charts are developed for various L/B and L/D ratios, across a wide range of stator and rotor roughness standard deviations, applicable to both bearing types.
