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Chebyshevskii Sbornik, 2020, Volume 21, Issue 4, Pages 327–332
DOI: https://doi.org/10.22405/2226-8383-2018-21-4-327-332 (Mi cheb972) 		 
This article is cited in 1 scientific paper (total in 1 paper)

HISTORY OF MATH AND APPLICATIONS

On the evolution of mathematical models of friction sliding of solids

A. D. Brekiab, S. G. Chulkinc, A. E. Gvozdevd, O. V. Kuzovlevae

a 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)
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DOI: https://doi.org/10.22405/2226-8383-2018-21-4-327-332
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.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2020-934
Received: 21.01.2020
Accepted: 22.10.2020
Document Type: Article
UDC: 621.2.082.18
Language: Russian
Citation: A. D. Breki, S. G. Chulkin, A. E. Gvozdev, O. V. Kuzovleva, “On the evolution of mathematical models of friction sliding of solids”, Chebyshevskii Sb., 21:4 (2020), 327–332
Citation in format AMSBIB
\Bibitem{BreChuGvo20}
\by A.~D.~Breki, S.~G.~Chulkin, A.~E.~Gvozdev, O.~V.~Kuzovleva
\paper On the evolution of mathematical models of friction sliding of solids
\jour Chebyshevskii Sb.
\yr 2020
\vol 21
\issue 4
\pages 327--332
\mathnet{http://mi.mathnet.ru/cheb972}
\crossref{https://doi.org/10.22405/2226-8383-2018-21-4-327-332}
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  • https://www.mathnet.ru/eng/cheb/v21/i4/p327
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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