 | | 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
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 56, Issue 7 / 2021 | Next article >> |
| N.V. Banichuk and S.Yu. Ivanova, "Optimum Damping Vibrations in a Panel Undergoing Translational Movement in Liquid Flow," Mech. Solids. 56 (7), 1213-1222 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
7 |
Pages |
1213-1222 |
| DOI |
10.3103/S0025654421070062 |
| Title |
Optimum Damping Vibrations in a Panel Undergoing Translational Movement in Liquid Flow |
| Author(s) |
N.V. Banichuk (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia, banichuk@ipmnet.ru)
S.Yu. Ivanova (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia, syuivanova@yandex.ru) |
| Abstract |
The movement of an elastic panel is considered in an ideal liquid flow. It is assumed that the
panel vibrates with small amplitude and is subject to external mechanical effects to resist these vibrations. The problem of optimizing the vibration damping process is formulated followed by solving
through estimation using the quadratic energy criterion. The necessary optimum conditions are
derived and applied to suppress hydroelastic vibrations within a finite time interval. An iteration vibration damping algorithm is presented based on sequential solution of direct problems of interaction
between the moving liquid and the panel. The algorithm also involves solving adjoint problems of
inverse integration of a homogeneous equation consisting of sequential determination of the corre-
sponding approximation to obtain the optimum control to suppress vibrations. The algorithm proposed to optimize vibration damping is illustrated by an example of determining the stabilizing effect
in analytical form. |
| Keywords |
hydroelastic interaction, vibration damping, optimizing damping effects |
| Received |
24 December 2020 | Revised |
20 January 2021 | Accepted |
02 February 2021 |
| Link to Fulltext |
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