Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2012, Volume 8, Number 3, Pages 585–603 (Mi nd345)  
This article is cited in 5 scientific papers (total in 5 papers)

On the final motion of cylindrical solids on a rough plane

Dmitrii V. Treschevab, Nadezhda N. Erdakovac, Tatyana B. Ivanovac

a Steklov Mathematical Institute, Russian Academy of Sciences, Gubkina st. 8, Moscow, 119991, Russia
b M. V. Lomonosov Moscow State University, Leninskie gory, Moscow, 119899, Russia
c Udmurt State University, Institute of Computer Science, Universitetskaya st. 1, Izhevsk, 426034, Russia
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Abstract: The problem of a uniform straight cylinder (disc) sliding on a horizontal plane under the action of dry friction forces is considered. The contact patch between the cylinder and the plane coincides with the base of the cylinder. We consider axisymmetric discs, i.e. we assume that the base of the cylinder is symmetric with respect to the axis lying in the plane of the base. The focus is on the qualitative properties of the dynamics of discs whose circular base, triangular base and three points are in contact with a rough plane.
Keywords: Amontons–Coulomb law, dry friction, disc, final dynamics, stability.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 11.G34.31.0039
НШ-2519.2012.1
Received: 15.08.2012
Revised: 03.09.2012
Document Type: Article
UDC: 539.3; 531.37
MSC: 70F40, 70F35, 70E18
Language: Russian
Citation: Dmitrii V. Treschev, Nadezhda N. Erdakova, Tatyana B. Ivanova, “On the final motion of cylindrical solids on a rough plane”, Nelin. Dinam., 8:3 (2012), 585–603
Citation in format AMSBIB
\Bibitem{TreErdIva12}
\by Dmitrii~V.~Treschev, Nadezhda~N.~Erdakova, Tatyana~B.~Ivanova
\paper On the final motion of cylindrical solids on a rough plane
\jour Nelin. Dinam.
\yr 2012
\vol 8
\issue 3
\pages 585--603
\mathnet{http://mi.mathnet.ru/nd345}
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  • https://www.mathnet.ru/eng/nd/v8/i3/p585
    • This publication is cited in the following 5 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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