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Nelin. Dinam., 2013, Volume 9, Number 3, Pages 521–545 (Mi nd404)  

This article is cited in 3 scientific papers (total in 3 papers)

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

Nadezhda N. Erdakovaa, Ivan S. Mamaevba

a Udmurt State University, Universitetskaya st. 1, Izhevsk, 426034, Russia
b Institute of Computer Science

Abstract: In this paper we investigate the dynamics of a body with a flat base sliding on a horizontal 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, two-dimensional motion, planar motion, Coulomb law.

Full text: PDF file (611 kB)
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UDC: 539.3; 531.37
MSC: 70F40, 70F35, 70E18
Received: 02.09.2013
Revised: 16.09.2013

Citation: Nadezhda N. Erdakova, Ivan S. Mamaev, “On the dynamics of a body with an axisymmetric base sliding on a rough plane”, Nelin. Dinam., 9:3 (2013), 521–545

Citation in format AMSBIB
\Bibitem{ErdMam13}
\by Nadezhda~N.~Erdakova, Ivan~S.~Mamaev
\paper On the dynamics of a body with an axisymmetric base sliding on a rough plane
\jour Nelin. Dinam.
\yr 2013
\vol 9
\issue 3
\pages 521--545
\mathnet{http://mi.mathnet.ru/nd404}


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    This publication is cited in the following articles:
    1. A. V. Borisov, N. N. Erdakova, T. B. Ivanova, I. S. Mamaev, “Dinamika tela s osesimmetrichnym osnovaniem na naklonnoi ploskosti”, Nelineinaya dinam., 10:4 (2014), 483–495  mathnet
    2. Alexey V. Borisov, Ivan S. Mamaev, “Adiabatic Invariants, Diffusion and Acceleration in Rigid Body Dynamics”, Regul. Chaotic Dyn., 21:2 (2016), 232–248  mathnet  crossref  mathscinet  zmath  elib
    3. E. I. Kugushev, T. V. Popova, “O dvizhenii shaiby po gorizontalnoi ploskosti v modeli vyazkogo treniya s peremennym koeffitsientom”, Nelineinaya dinam., 14:1 (2018), 145–153  mathnet  crossref  elib
  • Нелинейная динамика
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