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Avtomatika i Telemekhanika, 2022, Issue 3, Pages 33–40
DOI: https://doi.org/10.31857/S0005231022030035 (Mi at15495) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Nonlinear Systems

Celtic stone dynamics on a plane with viscous friction

M. A. Munitsynaab

a Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow oblast, 141701 Russia
b Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia
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DOI: https://doi.org/10.31857/S0005231022030035
Abstract: We consider the problem on the dynamics of a Celtic stone on a fixed horizontal plane. By analogy with [1], it is assumed that a classical viscous friction force is exerted on the body by the plane. We analytically justify the change in the direction of rotation from positive (in the sense of rotation of the centroidal principal axes of inertia relative to the geometric symmetry axes of the body) to negative under certain constraints on the problem parameters. For an approximate system of equations describing the dynamics of the body, the corresponding initial conditions are determined and approximate expressions for the final angular velocity are given.
Keywords: Celtic stone, viscous friction.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00140
Russian Academy of Sciences - Federal Agency for Scientific Organizations 7
This work was financially supported by the Russian Foundation for Basic Research, project no. 19-01-00140, and Program no. 7 of Fundamental Scientific Research in Priority Areas Determined by the Presidium of the Russian Academy of Sciences “New developments in promising areas of power engineering, mechanics and robotics.”
Presented by the member of Editorial Board: A. G. Kushner

Received: 10.06.2020
Revised: 27.07.2021
Accepted: 15.10.2021
English version:
Automation and Remote Control, 2022, Volume 83, Issue 3, Pages 325–331
DOI: https://doi.org/10.1134/S000511792203002X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. A. Munitsyna, “Celtic stone dynamics on a plane with viscous friction”, Avtomat. i Telemekh., 2022, no. 3, 33–40; Autom. Remote Control, 83:3 (2022), 325–331
Citation in format AMSBIB
\Bibitem{Mun22}
\by M.~A.~Munitsyna
\paper Celtic stone dynamics on a plane with viscous friction
\jour Avtomat. i Telemekh.
\yr 2022
\issue 3
\pages 33--40
\mathnet{http://mi.mathnet.ru/at15495}
\crossref{https://doi.org/10.31857/S0005231022030035}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4444956}
\transl
\jour Autom. Remote Control
\yr 2022
\vol 83
\issue 3
\pages 325--331
\crossref{https://doi.org/10.1134/S000511792203002X}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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