 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| M.V. Belichenko, "Stability of High-Frequency Periodic Motions of a Heavy Rigid Body with a Horizontally Vibrating Suspension Point," Mech. Solids. 51 (6), 632-642 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
6 |
Pages |
632-642 |
| DOI |
10.3103/S0025654416060029 |
| Title |
Stability of High-Frequency Periodic Motions of a Heavy Rigid Body with a Horizontally Vibrating Suspension Point |
| Author(s) |
M.V. Belichenko (Moscow Aviation Institute (National Research University), Volokolamskoe sh. 4, Moscow, 125993 Russia, tuzemec1@rambler.ru) |
| Abstract |
The motion of a heavy rigid body one of whose points (the
suspension point) executes horizontal harmonic high-frequency
vibrations with small amplitude is considered. The problem of existence of high-frequency periodic motions with period equal to the period of the suspension point vibrations is considered. The stability conditions for the revealed motions are obtained in the linear approximation. The following three special cases of mass distribution in the body are considered; a body whose center of mass lies on the principal axis of inertia, a body whose center of mass lies in the principal plane of inertia, and a dynamically symmetric body. |
| Keywords |
rigid body, fast vibration, periodic motion, stability |
| References |
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|
| Received |
25 June 2015 |
| Link to Fulltext |
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