Mathematical Modeling of the Sliding Friction Coefficient Depending on Speed and Load

Friction is a complex of irreversible processes of mechanical energy transformation that occur during the motion of macroscopic bodies, particularly when a body slides over another one. This problem seems impossible to solve based on mechanical equations because of the need to combine and solve a relatively large number of equations for all the particular elements of the system. This is also the reason why it appeals to modeling methods, which start from general cases to arrive at models having a determined structure based on hypotheses and peculiarities. The present paper aims to determine the relative dependency of the dry friction coefficient on the speed and normal pressure force by mathematical modeling based on certain simplifying hypotheses.