Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2010, Volume 6, Number 2, Pages 359–364 (Mi nd44)  

An approximate solution of a 2D rigid body motion problem on a rough surface

O. B. Fedicheva, P. O. Fedichevb

a Moscow Institute of Physics and Technology
b Quantum Pharmaceuticals
References:
Abstract: We report a novel general method for constructing an approximate solution of the planar motion of solids with an axially symmetric mass distribution and normal stresses over the contact area on a rough horizontal surface. For a disk characterized by Galin distribution of contact stresses we obtain explicit dependence of the angular and sliding velocity of the body as a function of time. The relative errors of the method do not exceed 1,5–2%. The simplicity and high accuracy of the method let us recommend its applications in the practice of engineering calculations.
Keywords: dry friction, Galin disk, flat motion.
Received: 15.12.2009
Document Type: Article
UDC: 531
MSC: 70E18, 70G60
Language: Russian
Citation: O. B. Fedichev, P. O. Fedichev, “An approximate solution of a 2D rigid body motion problem on a rough surface”, Nelin. Dinam., 6:2 (2010), 359–364
Citation in format AMSBIB
\Bibitem{FedFed10}
\by O.~B.~Fedichev, P.~O.~Fedichev
\paper An approximate solution of a 2D rigid body motion problem on a rough surface
\jour Nelin. Dinam.
\yr 2010
\vol 6
\issue 2
\pages 359--364
\mathnet{http://mi.mathnet.ru/nd44}
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  • https://www.mathnet.ru/eng/nd/v6/i2/p359
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    Нелинейная динамика
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