Geodesic
On the motion of a heavy body with a circular base on a horizontal plane and riddles of curling
Russian journal of nonlinear dynamics, Tome 7 (2011) no. 3, pp. 521-530

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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. 
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     author = {A. P. Ivanov and N. D. Shuvalov},
     title = {On the motion of a heavy body with a circular base on a horizontal plane and riddles of curling},
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A. P. Ivanov; N. D. Shuvalov. On the motion of a heavy body with a circular base on a horizontal plane and riddles of curling. Russian journal of nonlinear dynamics, Tome 7 (2011) no. 3, pp. 521-530. http://geodesic.mathdoc.fr/item/ND_2011_7_3_a7/