 | | 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: | | 13427 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
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| In English (Mech. Solids): | | 5249 |
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| << Previous article | Volume 60, Issue 6 / 2025 | Next article >> |
| M.A. Novikov, "On Conventional Stability of Steady-State Motions of Mechanical Systems with a Partial Steklov’s Integral," Mech. Solids. 60 (6), 4390-4399 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
6 |
Pages |
4390-4399 |
| DOI |
10.1134/S0025654425601259 |
| Title |
On Conventional Stability of Steady-State Motions of Mechanical Systems with a Partial Steklov’s Integral |
| Author(s) |
M.A. Novikov (Matrosov Institute for Systems Dynamics and Control Theory, of the Siberian Branch of the RAS, Irkutsk, 664033 Russia, nma@icc.ru) |
| Abstract |
Investigation of the conditions of conventional stability of steady-state motions of a mechanical system, which assumes existence of an additional partial V.A. Steklov’s integral, has been conducted. Analysis of conventional stability is conducted by Chetayev’s technique with the Lyapunov’s function represented by a full bundle of first integrals of the disturbed motion. It has been ascertained by analytical computations that, in case of a full bundle of integrals, it is possible to formulate sufficient stability conditions, which are the most close to the necessary conditions. It has been demonstrated for the scrutinized system that the boundary conditions of stability may be reached under the limit values of some Langrange multipliers. This allows the researcher to consider the bundles of integrals in the Routh-Lyapunov method and in the Chetayev’s technique differently. |
| Keywords |
steady-state motion, partial integral, bundle of integrals, necessary conditions of stability, sufficient conditions of stability |
| Received |
18 March 2025 | Revised |
27 May 2025 | Accepted |
28 May 2025 |
| Link to Fulltext |
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