This article is cited in 1 paper

HISTORY OF MATH AND APPLICATIONS

On the evolution of mathematical models of friction sliding of solids

A. D. Breki^ab, S. G. Chulkin^c, A. E. Gvozdev^d, O. V. Kuzovleva<sup>e

a</sup> Peter the Great St. Petersburg Polytechnic University (St. Petersburg)
^b Institute for Problems in Mechanical Engineering of the RAS (St. Petersburg)
^c Saint Petersburg State Marine Technical University (St. Petersburg)
^d Tula State Lev Tolstoy Pedagogical University (Tula)
^e Russian State University of Justice (Moscow)

Abstract: The paper provides information about the evolution of mathematical models of sliding friction of solids. It is Shown that taking into account deviations from the Leonardo da Vinci-Amonton-Coulomb law, it is necessary to Refine it using the correction function of the normal force. A mathematical model of the generalized sliding friction law has been created that takes into account the abrupt changes in the linear dependence of the friction force on the normal force.

Keywords: Leonardo da Vinci–Amonton–Coulomb law, mathematical model of friction, gen-eralized law of friction, abrupt change.

UDC: 621.2.082.18

Received: 21.01.2020
Accepted: 22.10.2020

DOI: 10.22405/2226-8383-2018-21-4-327-332