 | | 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 58, Issue 7 / 2023 | Next article >> |
| G.V. Gorr, "One Class of Resonance Precession Motions of a Rigid Body under the Action of Three Homogeneous Force Fields," Mech. Solids. 58 (7), 2544-2556 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
7 |
Pages |
2544-2556 |
| DOI |
10.3103/S0025654423070105 |
| Title |
One Class of Resonance Precession Motions of a Rigid Body under the Action of Three Homogeneous Force Fields |
| Author(s) |
G.V. Gorr (State Budgetary Institution Institute of Applied Mathematics and Mechanics, Donetsk, Russia, gvgorr@gmail.com) |
| Abstract |
The article considers the problem of the motion of a rigid body with a fixed point in a force field which is a superposition of three homogeneous force fields. The conditions for the existence of precessional motions, characterized by the property that the velocity of the body’s precession is twice the velocity of its own rotation, are studied. It is shown that the body has dynamic symmetry with respect to the axis which forms a constant angle with a vector fixed in space. In the case of a body with the spherical mass distribution, it is equal to arccos(1/4). The solution of the equations of body motion is described by elliptic functions of time. |
| Keywords |
precessions of a rigid body, resonance motions, homogeneous force fields |
| Received |
05 September 2022 | Revised |
22 November 2022 | Accepted |
22 November 2022 |
| Link to Fulltext |
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