 | | 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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| << Previous article | Volume 56, Issue 4 / 2021 | Next article >> |
| Novikov M.A., "On the Stability of one Permanent Rotation in a Neighborhood of the Appelroth Equality," Mech. Solids. 56 (4), 478-484 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
4 |
Pages |
478-484 |
| DOI |
10.3103/S0025654421040130 |
| Title |
On the Stability of one Permanent Rotation in a Neighborhood of the Appelroth Equality |
| Author(s) |
Novikov M.A. (Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, 664033 Russia, nma@icc.ru) |
| Abstract |
In mechanical autonomous conservative systems that admit a partial integral, there are sometimes stationary motions that exist both with and without a partial integral. A system is considered in which the Hess integral exists when the Appelroth equality is satisfied and the stationary motion is distinguished, which takes place even without the Appelroth equality. In the article, the stability of such a stationary motion is studied by the second Lyapunov method. It is found that the boundary of the region of sufficient stability conditions does not coincide with the boundary of the region of necessary stability conditions. |
| Keywords |
stationary motion, general integral, partial integral, bundle of integrals, stability of motion |
| Received |
27 January 2020 | Revised |
03 February 2020 | Accepted |
12 February 2020 |
| Link to Fulltext |
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