The analysis is carried out for mechanical parts with roughened surfaces having an identical integer number of sinusoidal waves, k, and identical asperity heights, Ra, on each surface.
The profile geometry of two surfaces with equal roughness parameters, the upper moving at constant velocity and the lower fixed, is shown in Fig.1.
Schematic of Roughened Surface Geometry at Wave Number k= 5, Clearance-Asperity Height Number A=/(h+2)=0.25 (dimensionless), and Phase Displacement φ=1/ (4k)
The analysis comprises the following phases: coordinate-time-dependent solution of the Reynolds equation for the hydrodynamic pressure in the lubricating film, deriving load support and maximal pressure expressions; numerical verifications of derived expressions by the comparison of the theoretical and numerical solutions – all this for a variety of wave numbers and asperity heights.