 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 80, Issue 4 / 2016 | Next article >> |
| 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 |
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