This article is cited in 17 papers

The Dynamics of a Body with an Axisymmetric Base Sliding on a Rough Plane

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

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

Abstract: In this paper we investigate the dynamics of a body with a flat base sliding on a horizontal and inclined rough plane under the assumption of linear pressure distribution of the body on the plane as the simplest dynamically consistent friction model. For analysis we use the descriptive function method similar to the methods used in the problems of Hamiltonian dynamics with one degree of freedom and allowing a qualitative analysis of the system to be made without explicit integration of equations of motion. In addition, we give a systematic review of the well-known experimental and theoretical results in this area.

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

MSC: 70F40, 70F35, 70E18

Received: 02.09.2014
Accepted: 16.10.2014

Language: English

DOI: 10.1134/S1560354714060021

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