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On the evolution of mathematical models of friction sliding of solids

https://doi.org/10.22405/2226-8383-2020-21-4-327-332

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.

About the Authors

Alexander Dzhalyulyevich Breki
Peter the Great St. Petersburg Polytechnic University, Institute for Problems in Mechanical Engineering of the RAS
Russian Federation
сandidate of technical Sciences, associate Professor


Sergey Georgievich Chulkin
Saint Petersburg State marine technical University
Russian Federation
doctor of technical Sciences, Professor


Alexander Evgenievich Gvozdev
Tula State pedagogical University L. N. Tolstoy
Russian Federation
doctor of engineering, Professor


Olga Vladimirovna Kuzovleva
Russian State University of justice
Russian Federation
candidate of technical Sciences, docent


Review

For citations:


Breki A.D., Chulkin S.G., Gvozdev A.E., Kuzovleva O.V. On the evolution of mathematical models of friction sliding of solids. Chebyshevskii Sbornik. 2020;21(4):327-332. (In Russ.) https://doi.org/10.22405/2226-8383-2020-21-4-327-332

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ISSN 2226-8383 (Print)