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.
This work was supported by the Ministry of Education and Science of the Russian Federation
within the framework of the basic part of the state assignment to institutions of higher education.
The work of T. B. Ivanova was supported by the Grant of the President of the Russian Federation for
Support of Young Candidates of Science MK-2171.2014.1 and by the RFBR Grant 14-01-00289-a.
Citation:
Alexey V. Borisov, Nadezhda N. Erdakova, Tatiana B. Ivanova, Ivan S. Mamaev, “The Dynamics of a Body with an Axisymmetric Base Sliding on a Rough Plane”, Regul. Chaotic Dyn., 19:6 (2014), 607–634
\Bibitem{BorErdIva14}
\by Alexey~V.~Borisov, Nadezhda~N.~Erdakova, Tatiana~B.~Ivanova, Ivan~S.~Mamaev
\paper The Dynamics of a Body with an Axisymmetric Base Sliding on a Rough Plane
\jour Regul. Chaotic Dyn.
\yr 2014
\vol 19
\issue 6
\pages 607--634
\mathnet{http://mi.mathnet.ru/rcd187}
\crossref{https://doi.org/10.1134/S1560354714060021}
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