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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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/

[1] Harrington E. L., “An experimental study of the motion of curling stones”, Trans. Royal Soc. Canada, 8 (1924), 247–259

[2] Johnston G. W., “The dynamics of a curling stone”, Canadian Aeronautics and Space J., 27 (1981), 144–160

[3] Shegelski M. R. A., Niebergall R., Walton M. A., “The motion of a curling rock”, Canadian J. Phys., 74 (1996), 663–670 | DOI

[4] Denny M., “Curling rock dynamics”, Canadian J. Phys., 76 (1998), 295–304

[5] Shegelski M. R. A., “The motion of a curling rock: Analytical approach”, Canadian J. Phys., 78:9 (2000), 857–864 | DOI

[6] Penner A. R., “The physics of sliding cylinders and curling rocks”, Amer. J. Phys., 69:3 (2001), 332–339 | DOI

[7] Denny M., “Curling rock dynamics: Towards a realistic model”, Canadian J. Phys., 80 (2002), 1005–1014 | DOI

[8] Jensen E. T., Shegelski M. R. A., “The motion of a curling rock: Experimental investigation and semiphenomenological description”, Canadian J. Phys., 82 (2004), 791–809 | DOI

[9] Shegelski M. R. A., Goodwin G. L., Booth R., Bagnall P., Reid M., “Exact normal forces and trajectories for a rotating tripod sliding on a smooth surface”, Canadian J. Phys., 82 (2004), 875–890 | DOI

[10] Ivanov A. P., Osnovy teorii sistem s treniem, NITs «Regulyarnaya i khaoticheskaya dinamika», M.–Izhevsk, 2011, 302 pp.

[11] Andronov A. A., Vitt A. A., Khaikin S. E., Teoriya kolebanii, Fizmatgiz, M., 1956, 915 pp.

[12] Argatov I. I., Dmitriev N. N., Osnovy teorii uprugogo diskretnogo kontakta, Politekhnika, SPb., 2003, 234 pp.

[13] Vershinin S. A., Truskov P. A., Trenie i istirayuschee vozdeistvie lda na sooruzheniya kontinentalnogo shelfa, Atlet-press, M., 2010, 196 pp.