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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2014, Volume 10, Number 4, Pages 483–495
(Mi nd459)
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This article is cited in 2 scientific papers (total in 2 papers)
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 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.
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
Linking options:
https://www.mathnet.ru/eng/nd459 https://www.mathnet.ru/eng/nd/v10/i4/p483
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