Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
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IssuesArchive of Issues2016-4pp.311-315

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O.A. Vinogradova, "The motion of a cylinder on a moving plane with friction," J. Appl. Math. Mech. 80 (4), 311-315 (2016)
Year 2016 Volume 80 Issue 4 Pages 311-315
DOI 10.1016/j.jappmathmech.2016.09.005
Title The motion of a cylinder on a moving plane with friction
Author(s) O.A. Vinogradova (M.V. Lomonosov Moscow State University, Moscow, Russia, vinogradova-oa@yandex.ru)
Abstract The motion of a cylinder on a moving plane with sliding friction and rolling friction is considered. In the case of vertical motion of the plane, it is shown that after a finite time for arbitrary initial conditions one of the following motion modes is established: rest or rolling downwards with or without sliding, accelerated or uniform, depending on the values of the system parameters. In the case of a plane-parallel motion of a horizontal plane, parametric conditions are found for the existence of two periodic rolling modes. It is shown that one of these modes sets up after a finite time for arbitrary initial conditions. An example demonstrating the influence of the torque of rolling friction is considered.
Received 27 October 2015
Link to Fulltext http://www.sciencedirect.com/science/article/pii/S0021892816301228
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