 | | 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: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3251 |
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| << Previous article | Volume 58, Issue 3 / 2023 | Next article >> |
| M.A. Novikov, "Stability of Stationary Motions of Mechanical Systems with a Particular Goryachev-Chaplygin Integral," Mech. Solids. 58 (3), 814-817 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
3 |
Pages |
814-817 |
| DOI |
10.3103/S0025654423700139 |
| Title |
Stability of Stationary Motions of Mechanical Systems with a Particular Goryachev-Chaplygin Integral |
| Author(s) |
M.A. Novikov (Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of RAS, Irkutsk, 664033 Russia, nma@icc.ru) |
| Abstract |
In the existing studies, the stationary motions in a mechanical system in the case of the existence of a partial Goryachev-Chaplygin integral are analyzed. Some invariant sets and their stability, including one of the stationary motions, are also studied. In this article, the stability of the remaining second rest state is finally investigated. |
| Keywords |
stability of motion, characteristic equation, eigenvalue, integral of equations of motion, bundle of first integrals |
| Received |
27 May 2022 | Revised |
28 July 2022 | Accepted |
19 August 2022 |
| Link to Fulltext |
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