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Nelin. Dinam., 2017, Volume 13, Number 4, Pages 599–609 (Mi nd589)  

This article is cited in 2 scientific papers (total in 2 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

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


DOI: https://doi.org/10.20537/nd1704012

Full text: PDF file (3617 kB)
References: PDF file   HTML file

UDC: 539.3; 531.37
MSC: 70F40, 70F35, 70E18
Received: 17.11.2016
Accepted:10.03.2017

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{http://elibrary.ru/item.asp?id=30780705}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. V. Borisov, I. S. Mamaev, A. A. Kilin, “A nonholonomic model of the Paul trap”, Regul. Chaotic Dyn., 23:3 (2018), 339–354  mathnet  crossref  mathscinet  adsnasa
    2. V. Putkaradze, S. Rogers, “On the dynamics of a rolling ball actuated by internal point masses”, Meccanica, 53:15 (2018), 3839–3868  crossref  mathscinet  isi  scopus
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