 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
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| Banichuk N.V., Ivanova S.Yu., and Afanas'ev V.S., "Damping the Transverse Vibrations of a Rapidly Rotating Disc," Mech. Solids. 57 (1), 57-64 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
1 |
Pages |
57-64 |
| DOI |
10.3103/S0025654422010010 |
| Title |
Damping the Transverse Vibrations of a Rapidly Rotating Disc |
| Author(s) |
Banichuk N.V. (Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia)
Ivanova S.Yu. (Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia, syuivanova@yandex.ru)
Afanas'ev V.S. (Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia) |
| Abstract |
The rotation of a thin elastic disk around its axis is considered. It is assumed that the disk is rigidly fixed in the center and performs small transverse vibrations described in the framework of the membrane model. To suppress vibrations, the flexible disk is subjected to external mechanical stress. The vibration damping process is estimated by a quadratic energy criterion and is optimized using the modern theory of optimal control. Optimality conditions are derived that are used to suppress elastic vibrations in a finite time interval, and a developed iterative algorithm for damping vibrations is presented, illustrated by the example of the analytical determination of a stabilizing effect. |
| Keywords |
rotating flexible disk, vibration damping, damping optimization |
| Received |
02 February 2021 | Revised |
03 March 2021 | Accepted |
04 March 2021 |
| Link to Fulltext |
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