This article is cited in 2 papers

On the dynamics of a body with an axisymmetric base sliding on a rough plane

Alexey V. Borisov^a, Nadezhda N. Erdakova^a, Tatiana B. Ivanova^ba, Ivan S. Mamaev<sup>c

a</sup> Udmurt State University, Universitetskaya st. 1, Izhevsk, 426034, Russia
^b Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, 141700 Russia
^c Izhevsk State Technical University, Studencheskaya 7, Izhevsk, 426069 Russia

Abstract: In this paper we investigate the dynamics of a body with a flat base sliding on a inclined plane under the assumption of linear pressure distribution of the body on the plane as the simplest dynamically consistent friction model. Computer-aided analysis of the system’s dynamics on the inclined plane using phase portraits has allowed us to reveal dynamical effects that have not been found earlier.

Keywords: dry friction, linear pressure distribution, two-dimensional motion, planar motion, Coulomb law.

UDC: 539.3, 531.37

MSC: 70F40, 70F35, 70E18

Received: 10.11.2014
Revised: 02.12.2014