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Nelin. Dinam., 2014, Volume 10, Number 4, Pages 483–495 (Mi nd459)  

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

Alexey V. Borisova, Nadezhda N. Erdakovaa, Tatiana B. Ivanovaba, Ivan S. Mamaevc

a 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 systems 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.

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Document Type: Article
UDC: 539.3, 531.37
MSC: 70F40, 70F35, 70E18
Received: 10.11.2014
Revised: 02.12.2014

Citation: Alexey V. Borisov, Nadezhda N. Erdakova, Tatiana B. Ivanova, Ivan S. Mamaev, “On the dynamics of a body with an axisymmetric base sliding on a rough plane”, Nelin. Dinam., 10:4 (2014), 483–495

Citation in format AMSBIB
\Bibitem{BorErdIva14}
\by Alexey~V.~Borisov, Nadezhda~N.~Erdakova, Tatiana~B.~Ivanova, Ivan~S.~Mamaev
\paper On the dynamics of a body with an axisymmetric base sliding on a rough plane
\jour Nelin. Dinam.
\yr 2014
\vol 10
\issue 4
\pages 483--495
\mathnet{http://mi.mathnet.ru/nd459}


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