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Regular and Chaotic Dynamics, 2012, Volume 17, Issue 1, Pages 97–104
DOI: https://doi.org/10.1134/S156035471201008X
(Mi rcd385)
 

This article is cited in 8 scientific papers (total in 8 papers)

On the Motion of a Heavy Body with a Circular Base on a Horizontal Plane and Riddles of Curling

Alexander P. Ivanov, Nikolay D. Shuvalov

Moscow Institute of Physics and Technology, Inststitutskii per. 9, Dolgoprudnyi, 141700 Russia
Citations (8)
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 body’s 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 Gümbel 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’s curve, dynamics of curling stones.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00354
Ministry of Education and Science of the Russian Federation NSh-3797.2010.1
11.G34.31.0039
This work was supported by the Russian Foundation of Basic Research (11-01-00354) and the State Program for Support of Leading Scientific Schools (NSh-3797.2010.1). The work of A.P. Ivanov was subsidized by the Grant of the Government of the Russian Federation for state support of scientific research conducted under supervision of leading scientists at Russian educational institutions of higher professional education (contract no. 11.G34.31.0039).
Received: 12.07.2011
Accepted: 21.11.2011
Document Type: Article
MSC: 70E18, 70F40, 74M10
Language: English
Citation: Alexander P. Ivanov, Nikolay D. Shuvalov, “On the Motion of a Heavy Body with a Circular Base on a Horizontal Plane and Riddles of Curling”, Regul. Chaotic Dyn., 17:1 (2012), 97–104
Citation in format AMSBIB
\Bibitem{IvaShu12}
\by Alexander P. Ivanov, Nikolay D. Shuvalov
\paper On the Motion of a Heavy Body with a Circular Base on a Horizontal Plane and Riddles of Curling
\jour Regul. Chaotic Dyn.
\yr 2012
\vol 17
\issue 1
\pages 97--104
\mathnet{http://mi.mathnet.ru/rcd385}
\crossref{https://doi.org/10.1134/S156035471201008X}
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  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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