 | | 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: | | 10482 |
| In Russian (ΟΜΜ): | | 9683
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| In English (J. Appl. Math. Mech.): | | 799 |
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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 |
| Link to Fulltext |
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