On the motion of free disc on the rough horisontal plane
2012, Vol. 8, No. 1, pp. 83-101
Author(s): Salnikova T. V., Treschev D. V., Gallyamov S. R.
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.
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