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.
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.
\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:
A. A. Koshelev, E. I. Kugushev, T. V. Shahova, “On the motion of a ball between rotating planes with viscous friction”, Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 79:3 (2024), 110–117
Citation in format AMSBIB
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