 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 50, Issue 3 / 2015 | Next article >> |
| O.S. Volkova, "Motion of a Heavy Gyrostat with Variable Gyrostatic Moment in the Generalized Steklov Case," Mech. Solids. 50 (3), 233-244 (2015) |
| Year |
2015 |
Volume |
50 |
Number |
3 |
Pages |
233-244 |
| DOI |
10.3103/S0025654415030012 |
| Title |
Motion of a Heavy Gyrostat with Variable Gyrostatic Moment in the Generalized Steklov Case |
| Author(s) |
O.S. Volkova (Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, ul. Rozy Luksemburg 74, Donetsk, 83114 Ukraine, volkova@iamm.ac.donetsk.ua, vo-va-o@yand) |
| Abstract |
Several families of isoconic motions of a heavy nonautonomous gyrostat with a fixed point are analyzed. Assuming that the conditions for the existence of a generalized Steklov solution are satisfied, we indicate the explicit time dependence of the main variables and analytically study the fixed hodographs of the angular velocity ω, the total angular momentum K of the system, and the center of mass position vector. The time dependence of the angle between K and ω is written out and examined. We obtain restrictions on the values of the nutation and proper rotation angles. |
| Keywords |
gyrostat, variable gyrostatic moment, particular solution of the equations of motion |
| References |
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10 (1), 1-3 (1899). |
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of a Gyrostat Motion about a Fixed Point," in Contemporary
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| 7. | O. S. Volkova, Several Classes of Motion of a Heavy Gyrostat with Variable Gyrostatic Moment, Abstract of Candidate's Dissertation in Mathematics and Physics (IPMM NAN Ukraine, Donetsk,
2010) [in Russian]. |
| 8. | O. S. Volkova, "Invariant Relation between the Equations of Motion
of a Heavy Gyrostat Whose Center of Mass Lies in the Principal
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76-83 (2012). |
| 9. | O. S. Volkova, "An Analog of the Steklov Problem Solution in the
Problem of Motion of a Heavy Gyrostat with Variable Gyrostatic
Moment," Dokl. Nats. Akad. Nauk Ukraine, No. 9, 65-70 (2013). |
| 10. | P. V. Kharlamov,
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| 16. | E. I. Kharlamova and G. V. Mozalevskaya, "Study of the Solution to
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| 17. | A. P. Markeev,
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[in Russian]. |
|
| Received |
02 August 2013 |
| Link to Fulltext |
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