 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| V.Yu. Ol’shanskii, "Regular Precession of a Gyrostat in Three Uniform Fields," Mech. Solids. 57 (8), 1873-1884 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
8 |
Pages |
1873-1884 |
| DOI |
10.3103/S0025654422080234 |
| Title |
Regular Precession of a Gyrostat in Three Uniform Fields |
| Author(s) |
V.Yu. Ol’shanskii (Institute of Precision Mechanics and Control, Russian Academy of Sciences, Saratov, Russia, olshanskiy_vlad@mail.ru) |
| Abstract |
This paper describes all possible cases of regular precession in the motion of a rigid body and
gyrostat around a fixed point under the action of three uniform fields. A generalization of the known
Yehia conditions is obtained when the precession and proper rotation velocities are equal to each other.
A new case of regular precession is found for which the precession velocity is twice the proper rotation
velocity, and the precession axis is not orthogonal to the proper rotation axis. The application of the
results in the special case where force lines of the three fields are orthogonal to each other, and in the
case where the precession axis is collinear to the force lines of one of the fields is considered. |
| Keywords |
rigid body and gyrostat, motion around a fixed point in three uniform fields, regular precession |
| Received |
05 April 2022 | Revised |
15 July 2022 | Accepted |
30 July 2022 |
| Link to Fulltext |
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