Geodesic
On the motion of free disc on the rough horisontal plane
Russian journal of nonlinear dynamics, Tome 8 (2012) no. 1, pp. 83-101

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We consider the problem of a disk sliding on a horizontal plane under the action of dry friction forces. The model is based on three hypotheses. The law of interaction of a small element of the disk’s surface with the plane is the Amonton–Coulomb law, the pressure distribution over the contact patch is a linear (generally speaking, time-dependent) function of Cartesian coordinates, the height of the disk is not high. The equations of motion possess a rich group of symmetry, which enables a detailed qualitative analysis of the problem.
Keywords: dry friction
Mots-clés : Amontons–Coulomb law. 
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T. V. Salnikova; D. V. Treschev; S. R. Gallyamov. On the motion of free disc on the rough horisontal plane. Russian journal of nonlinear dynamics, Tome 8 (2012) no. 1, pp. 83-101. http://geodesic.mathdoc.fr/item/ND_2012_8_1_a5/