 | | 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: | | 10522 |
| In Russian (ÏÌÌ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| F.L. Chernous’ko, "The optimal periodic motions of a two-mass system in a resistant medium," J. Appl. Math. Mech. 72 (2), 116-125 (2008) |
| Year |
2008 |
Volume |
72 |
Issue |
2 |
Pages |
116-125 |
| Title |
The optimal periodic motions of a two-mass system in a resistant medium |
| Author(s) |
F.L. Chernous’ko (Moscow, Russia, chern@ipmnet.ru) |
| Abstract |
The rectilinear motions of a two-mass system, consisting of a container and an internal mass, in a medium with resistance, are considered. The displacement of the system as a whole occurs due to periodic motion of the internal mass with respect to the container. The optimal periodic motions of the system, corresponding to the greatest velocity of displacement of the system as a whole, averaged over a period, are constructed and investigated using a simple mechanical model. Different laws of resistance of the medium, including linear and quadratic resistance, isotropic and anisotropic, and also a resistance in the form of dry-friction forces obeying Coulomb's law, are considered. |
| Received |
02 March 2007 |
| Link to Fulltext |
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