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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
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.
Received: 12.04.2019 Accepted: 28.05.2019
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
Linking options:
https://www.mathnet.ru/eng/nd650 https://www.mathnet.ru/eng/nd/v15/i2/p171
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