 | | 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: | | 12949 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
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| In English (Mech. Solids): | | 4853 |
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| G.V. Gorr, "Precession Motions of a Gyrostat, Having a Fixed Point, in Three Homogeneous Force Fields," Mech. Solids. 59 (4), 1841-1855 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
4 |
Pages |
1841-1855 |
| DOI |
10.1134/S002565442470033X |
| Title |
Precession Motions of a Gyrostat, Having a Fixed Point, in Three Homogeneous Force Fields |
| Author(s) |
G.V. Gorr (Steklov Mathematical Institute of Russian Academy of Science, Moscow, 119991 Russia, gvgorr@gmail.com) |
| Abstract |
The subject of investigation is the problem on precession motions of a gyrostat with a fixed
point in three homogeneous force fields. The class of precessions under consideration is characterized
by the constancy of the precession angle and by the commensurability of the precession and proper
rotation velocities. Equations of motion of a gyrostat are reduced to a system of three second order differential equations with respect to velocities of precession and proper rotation. Integration of these
equations is conducted in the case of precessionally isoconic motions (the precession velocity equals
to the proper rotation velocity) and in the case of 2 : 1 resonance, when the precession velocity is two times more, than the proper rotation velocity. It is proved that the obtained solutions can be described by elementary functions of time. |
| Keywords |
gyrostatic moment, precessions, force fields, new solutions |
| Received |
25 January 2023 | Revised |
05 February 2023 | Accepted |
06 February 2023 |
| Link to Fulltext |
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