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
(print version)

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IssuesArchive of Issues2008-6pp.653-659

Archive of Issues

Total articles in the database: 10512
In Russian (ΟΜΜ): 9713
In English (J. Appl. Math. Mech.): 799

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A.A. Gurchenkov, V.V. Korneyev, and M.V. Nosov, "The dynamics of the weakly perturbed motion of a liquid-filled gyroscope and the control problem," J. Appl. Math. Mech. 72 (6), 653-659 (2008)
Year 2008 Volume 72 Issue 6 Pages 653-659
Title The dynamics of the weakly perturbed motion of a liquid-filled gyroscope and the control problem
Author(s) A.A. Gurchenkov (Moscow, Russia)
V.V. Korneyev (Moscow, Russia)
M.V. Nosov (Moscow, Russia)
Abstract The Cauchy problem for the motion of a dynamically symmetrical rigid body with a cavity, filled with an ideal liquid, which is perturbed from uniform rotation, is considered in a linear formulation. The problem of the simultanious solution of the equations of hydrodynamics and the mechanics of a rigid body is reduced to the solution of an eigenvalue problem which depends solely on the geometry of the cavity and the subsequent integration of a system of differential equations.
Received 15 January 2008
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