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Russian Journal of Nonlinear Dynamics, 2019, Volume 15, Number 2, Pages 171–178
DOI: https://doi.org/10.20537/nd190206
(Mi nd650)
 

This article is cited in 1 scientific paper (total in 1 paper)

Nonlinear physics and mechanics

The Rolling of a Homogeneous Ball with Slipping on a Horizontal Rotating Plane

T. B. Ivanova

Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (443 kB) Citations (1)
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Abstract: This paper is concerned with the rolling of a homogeneous ball with slipping on a uniformly rotating horizontal plane. We take into account viscous friction forces arising when there is slipping at the contact point. It is shown that, as the coefficient of viscosity tends to infinity, the solution of the generalized problem on each fixed time interval tends to a solution of the corresponding nonholonomic problem.
Keywords: rotating surface, turntable, nonholonomic constraint, rolling ball, sliding, viscous friction.
Funding agency Grant number
Russian Science Foundation 19-71-30012
This work is supported by the Russian Science Foundation under grant 19-71-30012 and performed in Steklov Mathematical Institute of Russian Academy of Sciences.
Received: 12.04.2019
Accepted: 28.05.2019
Bibliographic databases:
Document Type: Article
MSC: 70E18, 70F40
Language: Russian
Citation: T. B. Ivanova, “The Rolling of a Homogeneous Ball with Slipping on a Horizontal Rotating Plane”, Rus. J. Nonlin. Dyn., 15:2 (2019), 171–178
Citation in format AMSBIB
\Bibitem{Iva19}
\by T. B. Ivanova
\paper The Rolling of a Homogeneous Ball with Slipping on a Horizontal Rotating Plane
\jour Rus. J. Nonlin. Dyn.
\yr 2019
\vol 15
\issue 2
\pages 171--178
\mathnet{http://mi.mathnet.ru/nd650}
\crossref{https://doi.org/10.20537/nd190206}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3983796}
\elib{https://elibrary.ru/item.asp?id=43208425}
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  • This publication is cited in the following 1 articles:
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