Journal of Applied Mathematics and Mechanics (about journal) 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
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IssuesArchive of Issues2008-2pp.116-125

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F.L. Chernousĺko, "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. Chernousĺko (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
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