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ЖУРНАЛЫ // Russian Journal of Nonlinear Dynamics // Архив

Rus. J. Nonlin. Dyn., 2019, том 15, номер 2, страницы 171–178 (Mi nd650)

Эта публикация цитируется в 1 статье

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

Аннотация: 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.

Ключевые слова: rotating surface, turntable, nonholonomic constraint, rolling ball, sliding, viscous friction.

MSC: 70E18, 70F40

Поступила в редакцию: 12.04.2019
Принята в печать: 28.05.2019

DOI: 10.20537/nd190206



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