Generalized mathematical model of the dynamics of the change in the friction force at rest and the beginning of sliding
https://doi.org/10.22405/2226-8383-2022-23-2-179-190
Abstract
In the article a generalized empirical mathematical model of the dynamics of changes in the friction force at rest and the beginning of sliding is presented. Using the example of the friction of a ball made of ShKh15 steel over 𝑆𝑖𝑂2 coatings deposited on flat surfaces made of polycarbonate and polyethylene terephthalate, it is shown that there are deviations from the stationary value of
the friction force when sliding over short distances. The developed mathematical model describes the frictional interaction both at a stationary value of the friction force and at deviations from it.
Keywords
friction mathematical model,
silicon dioxide coating,
polycarbonate,
polyethylene terephthalate,
gradient of mechanical properties,
static friction,
sliding friction.
Supporting agencies: The work was supported by a grant from the Russian Science Foundation for the priority area of activity of the Russian Science Foundation "Conducting fundamental scientific research and exploratory scientific research by individual scientific groups"to the scientific project: "Application of digital modeling and big data to improve the efficiency of mechanical processing of titanium steam turbine blades and their operation under conditions of drop impact erosion№ 22-19-00178.
About the Authors
Alexander Dzhalyulyevich Breki
Peter the Great St. Petersburg State Polytechnic University; Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences
Russian Federation
Russian Federation
doctor of technical sciences, associate professor
Sergey Evgenievich Aleksandrov
Peter the Great St. Petersburg State Polytechnic University
Russian Federation
Russian Federation
doctor of chemical sciences, professor
Anastasia Sergeevna Biel
Peter the Great St. Petersburg State Polytechnic University
Russian Federation
Russian Federation
graduate student
Sergey Georgievich Chulkin
St. Petersburg State Marine Technical University; Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences
Russian Federation
Russian Federation
doctor of technical sciences, professor
Valery Alexandrovich Yakhimovich
Peter the Great St Petersburg State Polytechnic University
Russian Federation
Russian Federation
graduate student
Aleksander Evgenуevich Gvozdev
Tula State Lev Tolstoy Pedagogical University
Russian Federation
Russian Federation
doctor of technical science, professor
Alexey Georgievich Kolmakov
Baikov Institute of Metallurgy and Materials Science
Russian Federation
Russian Federation
doctor of technical science, professor, corresponding member of the Russian Academy of Sciences
Evgeny Aleksandrovich Protopopov
Tula State University
Russian Federation
Russian Federation
candidate of technical sciences
References
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Review
For citations:
Breki A.D., Aleksandrov S.E., Biel A.S., Chulkin S.G., Yakhimovich V.A., Gvozdev A.E., Kolmakov A.G., Protopopov E.A. Generalized mathematical model of the dynamics of the change in the friction force at rest and the beginning of sliding. Chebyshevskii Sbornik. 2022;23(2):179-190. (In Russ.) https://doi.org/10.22405/2226-8383-2022-23-2-179-190
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