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Nelin. Dinam., 2012, Volume 8, Number 3, Pages 585–603 (Mi nd345)  

This article is cited in 3 scientific papers (total in 3 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

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


Full text: PDF file (774 kB)
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Document Type: Article
UDC: 539.3; 531.37
MSC: 70F40, 70F35, 70E18
Received: 15.08.2012
Revised: 03.09.2012

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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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. D. S. Burlakov, A. A. Seslavina, “O dvizhenii tsilindricheskoi shaiby po gorizontalnoi ploskosti”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2012, no. 4, 125–139  mathnet
    2. N. N. Erdakova, I. S. Mamaev, “Dinamika tela s osesimmetrichnym osnovaniem, skolzyaschego po sherokhovatoi ploskosti”, Nelineinaya dinam., 9:3 (2013), 521–545  mathnet
    3. E. I. Kugushev, T. V. Popova, “O dvizhenii shaiby po gorizontalnoi ploskosti v modeli vyazkogo treniya s peremennym koeffitsientom”, Nelineinaya dinam., 14:1 (2018), 145–153  mathnet  crossref  elib
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