This article is cited in 5 papers

On the final motion of cylindrical solids on a rough plane

Dmitrii V. Treschev^ab, Nadezhda N. Erdakova^c, Tatyana B. Ivanova<sup>c

a</sup> Steklov Mathematical Institute, Russian Academy of Sciences, Gubkina st. 8, Moscow, 119991, Russia
^b M. V. Lomonosov Moscow State University, Leninskie gory, Moscow, 119899, Russia
^c Udmurt State University, Institute of Computer Science, Universitetskaya st. 1, Izhevsk, 426034, Russia

Abstract: The problem of a uniform straight cylinder (disc) sliding on a horizontal plane under the action of dry friction forces is considered. The contact patch between the cylinder and the plane coincides with the base of the cylinder. We consider axisymmetric discs, i.e. we assume that the base of the cylinder is symmetric with respect to the axis lying in the plane of the base. The focus is on the qualitative properties of the dynamics of discs whose circular base, triangular base and three points are in contact with a rough plane.

Keywords: Amontons–Coulomb law, dry friction, disc, final dynamics, stability.

UDC: 539.3; 531.37

MSC: 70F40, 70F35, 70E18

Received: 15.08.2012
Revised: 03.09.2012