Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2017, Volume 13, Number 4, Pages 599–609
DOI: https://doi.org/10.20537/nd1704012 (Mi nd589) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On the 75th birthday of A.P.Markeev

The dynamical model of the rolling friction of spherical bodies on a plane without slipping

Yu. L. Karavaeva, A. V. Klekovkina, A. A. Kilinb

a M. T. Kalashnikov Izhevsk State Technical University, ul. Studencheskaya 7, Izhevsk, 426069, Russia
b Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034, Russia
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DOI: https://doi.org/10.20537/nd1704012
Abstract: In this paper the model of rolling of spherical bodies on a plane without slipping is presented taking into account viscous rolling friction. Results of experiments aimed at investigating the influence of friction on the dynamics of rolling motion are presented. The proposed dynamical friction model for spherical bodies is verified and the limits of its applicability are estimated. A method for determining friction coefficients from experimental data is formulated.
Keywords: rolling friction, dynamical model, spherical body, nonholonomic model, experimental investigation.
Funding agency Grant number
Russian Foundation for Basic Research 15-08-09261-а
Russian Science Foundation 14-19-01303
Received: 17.11.2016
Accepted: 10.03.2017
Bibliographic databases:
Document Type: Article
UDC: 539.3; 531.37
MSC: 70F40, 70F35, 70E18
Language: Russian
Citation: Yu. L. Karavaev, A. V. Klekovkin, A. A. Kilin, “The dynamical model of the rolling friction of spherical bodies on a plane without slipping”, Nelin. Dinam., 13:4 (2017), 599–609
Citation in format AMSBIB
\Bibitem{KarKleKil17}
\by Yu.~L.~Karavaev, A.~V.~Klekovkin, A.~A.~Kilin
\paper The dynamical model of the rolling friction of spherical bodies on a plane without slipping
\jour Nelin. Dinam.
\yr 2017
\vol 13
\issue 4
\pages 599--609
\mathnet{http://mi.mathnet.ru/nd589}
\crossref{https://doi.org/10.20537/nd1704012}
\elib{https://elibrary.ru/item.asp?id=30780705}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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