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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 2011 Volume 7, Number 3, Pages 521–530 (Mi nd274)

This article is cited in 2 papers

On the motion of a heavy body with a circular base on a horizontal plane and riddles of curling

A. P. Ivanov, N. D. Shuvalov

Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, 141700, Russia

Abstract: In this paper we discuss the dynamics of an axisymmetric rigid body whose circular area moves upon a horizontal rough surface. We investigate the interaction between the character of the law of friction and the curvature of the bodys trajectory. For the case of a curling stone it is shown that the observed effects can only be explained using the dependence of the friction coefficient on the Gumbel number. The procedure for constructing the law of friction based on experimental data is developed. It is shown that the available data can only be substantiated by means of anisotropic friction. The simplest model of such friction is constructed which provides quantitative coincidence with the experiment.

Keywords: mixed friction, Stribeck curve, curling rock dynamics.

UDC: 531.43

MSC: 70E18, 70F40, 74M10

Received: 12.07.2011
Revised: 21.08.2011



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