Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2011, Volume 7, Number 3, Pages 521–530 (Mi nd274)  

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

On the motion of a heavy body with a circular base on a horizontal plane and riddles of curling

A. P. Ivanov, N. D. Shuvalov

Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, 141700, Russia
Full-text PDF (376 kB) Citations (2)
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Abstract: In this paper we discuss the dynamics of an axisymmetric rigid body whose circular area moves upon a horizontal rough surface. We investigate the interaction between the character of the law of friction and the curvature of the bodys trajectory. For the case of a curling stone it is shown that the observed effects can only be explained using the dependence of the friction coefficient on the Gumbel number. The procedure for constructing the law of friction based on experimental data is developed. It is shown that the available data can only be substantiated by means of anisotropic friction. The simplest model of such friction is constructed which provides quantitative coincidence with the experiment.
Keywords: mixed friction, Stribeck curve, curling rock dynamics.
Received: 12.07.2011
Revised: 21.08.2011
Document Type: Article
UDC: 531.43
MSC: 70E18, 70F40, 74M10
Language: Russian
Citation: A. P. Ivanov, N. D. Shuvalov, “On the motion of a heavy body with a circular base on a horizontal plane and riddles of curling”, Nelin. Dinam., 7:3 (2011), 521–530
Citation in format AMSBIB
\Bibitem{IvaShu11}
\by A.~P.~Ivanov, N.~D.~Shuvalov
\paper On the motion of a heavy body with a circular base on a horizontal plane and riddles of curling
\jour Nelin. Dinam.
\yr 2011
\vol 7
\issue 3
\pages 521--530
\mathnet{http://mi.mathnet.ru/nd274}
Linking options:
  • https://www.mathnet.ru/eng/nd274
  • https://www.mathnet.ru/eng/nd/v7/i3/p521
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Нелинейная динамика
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    Abstract page:289
    Full-text PDF :134
    References:35
    First page:1
     
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