Stochastic FEM model of one-dimensional hydrodynamic bearings with rough surfaces

A stochastic finite element model of a one-dimensional hydrodynamic bearing with rough surfaces longitudinal and transverse roughnesses), considering film thickness to be a stochastic variable, has been formulated and steady-state characteristics studied. The results expressed as mean values of load carrying capacity, flow rate, frictional force and coefficient of friction (in non-dimensional form) are in good agreement with those obtained by analytical methods by previous investigators. Further standard deviation of pressure, at a given node, has been calculated for different input standard deviations of stochastic variable and scales of fluctuation using the first-order (perturbation)- second moment method.