 | | 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 57, Issue 7 / 2022 | Next article >> |
| A.A. Kosov, "On Analogs of the Bobylev–Steklov Case for a Gyrostat under the Action of a Moment of Gyroscopic Forces," Mech. Solids. 57 (7), 1633-1643 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
7 |
Pages |
1633-1643 |
| DOI |
10.3103/S0025654422070093 |
| Title |
On Analogs of the Bobylev–Steklov Case for a Gyrostat under the Action of a Moment of Gyroscopic Forces |
| Author(s) |
A.A. Kosov (Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia, kosov_idstu@mail.ru) |
| Abstract |
Equations of motion of a gyrostat around a fixed point under the action of a moment of
gyroscopic forces are studied. Analogs of the Bobylev–Steklov case are obtained; it is shown that,
unlike the classical case of a rigid body, Bobylev’s and Steklov’s approaches are not equivalent and can
provide complementary results. Conditions have been found under which parametric families of particular solutions expressed in terms of elliptic functions can be constructed. Six types of stationary
solutions are singled out, and the conditions for their stability are obtained using the method of the
Chetayev integral connections. |
| Keywords |
gyrostat, Bobylev–Steklov case, parametric families of partial solutions, stationary solutions, stability |
| Received |
10 February 2021 | Revised |
15 April 2021 | Accepted |
15 April 2021 |
| Link to Fulltext |
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| << Previous article | Volume 57, Issue 7 / 2022 | Next article >> |
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