Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2006, Volume 2, Number 3, Pages 293–306 (Mi nd171)  

This article is cited in 6 scientific papers (total in 6 papers)

On the motion of a two-dimensional rigid body on a rough straight line

G. M. Rozenblat

Moscow Automobile and Road Technical University
Full-text PDF (399 kB) Citations (6)
Abstract: We study the motion (rolling motion) of a flat plate whose boundary is an arbitrary convex curve along a straight line. During the motion the plate is always in contact with the supporting line and subject to a dry friction. Plus, the plate is acted on by an arbitrary plane system of forces and at the point of contact only the unilateral constraint is assumed. All possible transitions from a rolling motion with slipping to a pure rolling without slipping and vice versa are classified. Necessary conditions for the plate to remain in contact with the line are obtained. The results obtained are used to study 1) the motion of a non-uniform circular disk, subject to gravity, on a rough horizontal straight line in the vertical plane and 2) the motion of a slender rod, subject to gravity, on a rough straight line.
Keywords: rolling motion, dry friction, unilateral constraint.
Document Type: Article
UDC: 531.01
MSC: 37N15
Language: Russian
Citation: G. M. Rozenblat, “On the motion of a two-dimensional rigid body on a rough straight line”, Nelin. Dinam., 2:3 (2006), 293–306
Citation in format AMSBIB
\Bibitem{Roz06}
\by G.~M.~Rozenblat
\paper On the motion of a two-dimensional rigid body on a rough straight line
\jour Nelin. Dinam.
\yr 2006
\vol 2
\issue 3
\pages 293--306
\mathnet{http://mi.mathnet.ru/nd171}
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  • https://www.mathnet.ru/eng/nd/v2/i3/p293
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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