 | | 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: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| A.A. Aduyenko and N.I. Amelkin, "Asymptotic properties of the motions of a heavy gyroscope with internal dissipation," J. Appl. Math. Mech. 78 (1), 7-17 (2014) |
| Year |
2014 |
Volume |
78 |
Issue |
1 |
Pages |
7-17 |
| Title |
Asymptotic properties of the motions of a heavy gyroscope with internal dissipation |
| Author(s) |
A.A. Aduyenko (Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993 Russia)
N.I. Amelkin (Moscow, Russia, nanelkin@mail.ru) |
| Abstract |
The limiting motions of a heavy gyroscope, simulated by a system of rigid bodies, are considered when there is internal friction. The whole set of limiting motions is determined and the nature of their stability is studied in detail for cases when the carried body of the gyroscope has a) three degrees and b) one degree of freedom with respect to the supporting body. The results of an analysis of case a are extended to the motion of a gyroscope with a fluid filling. For case b, the values of the parameters are determined for which the gyroscope, apart from steady rotations, has unsteady limiting motions that are integrable motions in the special Bobylev-Steklov case. |
| Received |
20 March 2013 |
| Link to Fulltext |
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