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Chelomei's problem of the stabilization of a statically unstable rod by means of a vibration

โœ Scribed by A.A. Seyranian; A.P. Seyranian

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
229 KB
Volume
72
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

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.

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