 | | 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.V. Doroshin, "Evolution of the precessional motion of unbalanced gyrostats of variable structure," J. Appl. Math. Mech. 72 (3), 259-269 (2008) |
| Year |
2008 |
Volume |
72 |
Issue |
3 |
Pages |
259-269 |
| Title |
Evolution of the precessional motion of unbalanced gyrostats of variable structure |
| Author(s) |
A.V. Doroshin (Samara, Russia, doran@inbox.ru) |
| Abstract |
The precessional motion of an unbalanced gyrostat of variable structure when acted upon by dissipative and accelerating external and internal moments, which depend on the angular velocities of the bodies (the carrier and the rotor) is considered. A qualitative method of analysing the phase space of non-autonomous dynamical systems is developed, based on the determination of the curvature of the phase trajectory. The motion is analysed and the conditions for obtaining the required modes of nutational-precessional motion of unbalanced gyrostats of variable structure are synthesized using this method. A number of cases of the motion of a gyrostat of variable structure, including free motion, motion when there are constant internal and reactive moments and, also, under the action of the moments of resistance forces, proportional to the angular velocities, is investigated. The possible evolutions in the above-mentioned cases of motion and the causes of these evolutions are determined. The conditions for evolution with a decreasing amplitude of the nutational oscillations are obtained. |
| Received |
12 February 2007 |
| Link to Fulltext |
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