 | | 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 58, Issue 7 / 2023 | Next article >> |
| S.V. Nesterov, "On the One Method of Analyzing the Stability of Rest Points in Critical Cases," Mech. Solids. 58 (7), 2557-2562 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
7 |
Pages |
2557-2562 |
| DOI |
10.3103/S0025654423070166 |
| Title |
On the One Method of Analyzing the Stability of Rest Points in Critical Cases |
| Author(s) |
S.V. Nesterov (Ishlinsky Institute for Problems in Mechanics, RAS, Moscow, Russia, bayd@ipmnet.ru) |
| Abstract |
For a two-dimensional oscillatory system with imaginary characteristic roots of linearized
equations, a method is proposed that simplifies calculations and does not require the analyticity of the
right-hand sides of the equations. The method is based on the decomposition of the vector function
of the right-hand sides of the equations into solenoidal and potential components. Integral estimates
for the stability of the equilibrium position are obtained. |
| Keywords |
equilibrium stability, Lyapunov methods |
| Received |
12 April 2023 | Revised |
15 June 2023 | Accepted |
20 June 2023 |
| Link to Fulltext |
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