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

Abstract

Filip ilie* and George ipate

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 appears to be impossible to solve based on mechanical equations because it requires combining and solving 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. This paper aims to determine the relative dependency of the dry friction coefficient on speed and normal pressure force through mathematical modeling, based on certain simplifying hypotheses.

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