ON THE RATIO OF SURFACE ROUGHNESS PARAMETERS

摘要

The ratio of the arithmetic mean and root-mean-square deviations of the surface profile, R_aR_q ≤ 1, has been estimated on the basis of the Holder inequality. The exact upper limit can be reached on a set of continuous functions for an absolutely smooth surface. This can also be done on a set of functions with a first-order discontinuity for a set of step functions. The lower limit of that ratio is found to be zero. A method of estimating the ratio R_a/R_q is presented.