Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 2, Pages 46–56
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-2-6 (Mi vmumm4529) 		 
Mechanics

Motion of two touching cylinders interacting by a dry friction force

E. E. Borisenko

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.55959/MSU0579-9368-1-64-2-6
Abstract: This paper concerned with the motion of two contacting cylinders, there is dry friction between them. Filippov's theory of discontinuous differential equations is used to study ODE system. The forward uniqueness of the solution is proven, the phase portrait is drawn, its bifurcation is studied. These results allow us to describe the motions of the given mechanical system, in particular, to describe the seizing and permanent rotation conditions.
Key words: differential inclusions, Filippov's regularization, systems with friction.
Received: 31.08.2022
English version:
Moscow University Mechanics Bulletin, 2023, Volume 78, Issue 2, Pages 42–53
DOI: https://doi.org/10.3103/S0027133023020036
Bibliographic databases:
Document Type: Article
UDC: 517.911.5
Language: Russian
Citation: E. E. Borisenko, “Motion of two touching cylinders interacting by a dry friction force”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 2, 46–56; Moscow University Mechanics Bulletin, 78:2 (2023), 42–53
Citation in format AMSBIB
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\by E.~E.~Borisenko
\paper Motion of two touching cylinders interacting by a dry friction force
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 2
\pages 46--56
\mathnet{http://mi.mathnet.ru/vmumm4529}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-2-6}
\elib{https://elibrary.ru/item.asp?id=50506488}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2023
\vol 78
\issue 2
\pages 42--53
\crossref{https://doi.org/10.3103/S0027133023020036}
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