 | | 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 59, Issue 2 / 2024 | Next article >> |
| G.V. Gorr, "Precession Motions of a Gyrostat, Having a Fixed Point in Three Homogeneous Force Fields," Mech. Solids. 59 (2), 754-768 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
2 |
Pages |
754-768 |
| DOI |
10.1134/S002565442360201X |
| Title |
Precession Motions of a Gyrostat, Having a Fixed Point in Three Homogeneous Force Fields |
| Author(s) |
G.V. Gorr (Steklov Mathematical Institute of RAS, Moscow, 119991 Russia, gvgorr@gmail.com) |
| Abstract |
The subject of the study is the problem of precession of a gyrostat with a fixed point in three homogeneous force fields. The class of precessional movements under consideration is characterized by the properties of constancy of the nutation angle and commensurability of the precession rates and the gyrostat’s own rotation. The equations of motion of the gyrostat are reduced to three second-order differential equations with respect to the precession rates and the proper rotation of the gyrostat. Integration of these equations was carried out in the case of precessional-isoconic movements (the speeds of precession and proper rotation are equal) and in one case the resonant values of the speeds of precession and proper rotation (the precession speed is twice the speed of proper rotation – resonance 2 : 1). It is proven that the solutions obtained in the article are characterized by elementary functions of time. |
| Keywords |
gyrostatic moment, precession, force fields, new solutions |
| Received |
05 October 2023 | Revised |
14 October 2023 | Accepted |
14 October 2023 |
| Link to Fulltext |
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