 | | 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: | | 10522 |
| In Russian (ÏÌÌ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| N.I. Amel’kin, "The properties of the steady motions of a body carrying a system of two-degree-of-freedom powered gyroscopes," J. Appl. Math. Mech. 75 (3), 247-257 (2011) |
| Year |
2011 |
Volume |
75 |
Issue |
3 |
Pages |
247-257 |
| Title |
The properties of the steady motions of a body carrying a system of two-degree-of-freedom powered gyroscopes |
| Author(s) |
N.I. Amel’kin (Moscow, Russia, namelkin@mail.ru) |
| Abstract |
The steady motions of a rigid body carrying several two-degree-of-freedom powered gyroscopes in a uniform external field are investigated. It is shown that when the installation scheme of the gyroscopes in the carrying body is collinear, the problem of determining the steady motions of the system and analysing their secular stability reduces for the most part to the previously solved, similar problem for a system with one gyroscope. It is established that when there is dissipation in the axes of the gyroscope frames, the system tends asymptotically to a state of rest if the absolute value of the total angular momentum of the system lies in the segment of possible absolute values of the angular momentum of the gyroscope rotors. The results of an analysis of the steady motions of a system carrying two gyroscopes with a non-collinear installation scheme are presented. |
| Received |
03 June 2010 |
| Link to Fulltext |
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