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 Issues2008-6pp.649-652

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Total articles in the database: 10512
In Russian (ΟΜΜ): 9713
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A.A. Seyranian and A.P. Seyranian, "Chelomei's problem of the stabilization of a statically unstable rod by means of a vibration," J. Appl. Math. Mech. 72 (6), 649-652 (2008)
Year 2008 Volume 72 Issue 6 Pages 649-652
Title Chelomei's problem of the stabilization of a statically unstable rod by means of a vibration
Author(s) A.A. Seyranian (Moscow, Russia, seyran@imec.msu.ru)
A.P. Seyranian (Moscow, Russia)
Abstract Chelomei's problem of the stabilization of an elastic, statically unstable rod by means of a vibration is considered. Formulae for the upper and lower critical frequencies for the stabilization of the rod are obtained and analysed. It is shown that, unlike the high-frequency stabilization of an inverted pendulum with a vibrating suspension point, a rod is stabilized by frequencies of a periodic force of the order of the fundamental frequency of the transverse oscillations of the uncompressed rod lying in a certain range.
Received 13 November 2007
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