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Regular and Chaotic Dynamics, 2014, Volume 19, Issue 1, Pages 116–139
DOI: https://doi.org/10.1134/S1560354714010080 (Mi rcd144) 		 
This article is cited in 16 scientific papers (total in 17 papers)

The Dynamics of a Rigid Body with a Sharp Edge in Contact with an Inclined Surface in the Presence of Dry Friction

Ivan S. Mamaeva, Tatiana B. Ivanovab

a Institute of Computer Science, Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia
b Faculty of Physics and Energetics, Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia
Citations (17)
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DOI: https://doi.org/10.1134/S1560354714010080
Abstract: In this paper we consider the dynamics of a rigid body with a sharp edge in contact with a rough plane. The body can move so that its contact point is fixed or slips or loses contact with the support. In this paper, the dynamics of the system is considered within three mechanical models which describe different regimes of motion. The boundaries of the domain of definition of each model are given, the possibility of transitions from one regime to another and their consistency with different coefficients of friction on the horizontal and inclined surfaces are discussed.
Keywords: rod, Painlevé paradox, dry friction, loss of contact, frictional impact.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation NSh-2964.2014.1
MK-2171.2014.1
1.1248.2011
This research was supported by the analytical departmental target program “Development of Scientific Potential of Higher Schools” for 2012–2014, No 1.1248.2011 “Nonholonomic Dynamical Systems and Control Problems” and by the Grant of the President of the Russian Federation for Support of Leading Scientific Schools NSh-2964.2014.1. The work of T. B.Ivanova was supported by the Grant of the President of the Russian Federation for Support of Young Candidates of Science MK-2171.2014.1.
Received: 28.03.2013
Accepted: 31.12.2013
Bibliographic databases:
Document Type: Article
MSC: 70F40, 70E18
Language: English
Citation: Ivan S. Mamaev, Tatiana B. Ivanova, “The Dynamics of a Rigid Body with a Sharp Edge in Contact with an Inclined Surface in the Presence of Dry Friction”, Regul. Chaotic Dyn., 19:1 (2014), 116–139
Citation in format AMSBIB
\Bibitem{MamIva14}
\by Ivan~S.~Mamaev, Tatiana~B.~Ivanova
\paper The Dynamics of a Rigid Body with a Sharp Edge in Contact with an Inclined Surface in the Presence of Dry Friction
\jour Regul. Chaotic Dyn.
\yr 2014
\vol 19
\issue 1
\pages 116--139
\mathnet{http://mi.mathnet.ru/rcd144}
\crossref{https://doi.org/10.1134/S1560354714010080}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3181040}
\zmath{https://zbmath.org/?q=an:06506694}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000333239100008}
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  • https://www.mathnet.ru/eng/rcd/v19/i1/p116
    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:69
     
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