 | | 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 (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| A.V. Maznev, "A class of three invariant relations for the equations of motion of a gyrostat with a variable gyrostatic moment," J. Appl. Math. Mech. 77 (2), 190-194 (2013) |
| Year |
2013 |
Volume |
77 |
Issue |
2 |
Pages |
190-194 |
| Title |
A class of three invariant relations for the equations of motion of a gyrostat with a variable gyrostatic moment |
| Author(s) |
A.V. Maznev (Donetsk, Russia, maznev_av@rambler.ru) |
| Abstract |
The motion of a dynamically symmetrical gyrostat under the action of potential and gyroscopic forces with a variable gyrostatic moment, which can be described by generalized equations of the Kirchhoff-Poisson class, is considered. The conditions for the existence of three linear invariant relations of a special type are obtained, and new solutions of the equations of motion, expressed either in the form of elementary functions or elliptic functions of time, are obtained. |
| Received |
04 May 2011 |
| Link to Fulltext |
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| << Previous article | Volume 77, Issue 2 / 2013 | Next article >> |
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