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Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, Issue 4, Pages 125–139 (Mi vuu354)  

This article is cited in 1 scientific paper (total in 1 paper)

MECHANICS

On free movement of puck on horizontal plane

D. S. Burlakov, A. A. Seslavina

Department of Theoretical Mechanics and Mechatronics, Lomonosov Moscow State University, Moscow, Russia

Abstract: We consider the problem of a homogeneous direct cylinder of an arbitrary form (a puck) sliding on a horizontal surface under the action of dry friction forces. The surface contact spot of the cylinder coincides with its base. One of the central hypotheses in the work is the choice of a mathematical model of interaction between a small surface element of a puck and a plane. It is assumed, that the current effect is described by the Amonton–Coulomb's law of friction. In the present work the basic attention is given to the qualitative analysis of the equations of motion for systems, the one which allow to describe dynamics at small values of the system's kinetic energy (final dynamics). Qualitative properties of dynamics for arbitrary pucks are formulated and proved. We present examples illustrating the difference in final dynamics for pucks with round, centrosymmetrical and arbitrary bases on a rough surface.

Keywords: dry friction, Amontons–Coulomb law, puck, final dynamics, stability.

Full text: PDF file (852 kB)
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UDC: 539.3
MSC: 70F40, 70F35, 70E18
Received: 15.09.2012

Citation: D. S. Burlakov, A. A. Seslavina, “On free movement of puck on horizontal plane”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 4, 125–139

Citation in format AMSBIB
\Bibitem{BurSes12}
\by D.~S.~Burlakov, A.~A.~Seslavina
\paper On free movement of puck on horizontal plane
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2012
\issue 4
\pages 125--139
\mathnet{http://mi.mathnet.ru/vuu354}


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    This publication is cited in the following articles:
    1. Daniil Burlakov, Dmitry Treschev, “A Rigid Body on a Surface with Random Roughness”, Regul. Chaotic Dyn., 19:3 (2014), 296–309  mathnet  crossref  mathscinet  zmath
  • Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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