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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2018-7pp.68-75

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N.V. Banichuk, S.Yu. Ivanova, E.V. Makeev, and A.V. Sinitsin, "Optimal Suppression of Vibrations of a Moving Elastic Web," Mech. Solids. 53 (S1), 68-75 (2018)
Year 2018 Volume 53 Number S1 Pages 68-75
DOI 10.3103/S0025654418030044
Title Optimal Suppression of Vibrations of a Moving Elastic Web
Author(s) N.V. Banichuk (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia, banichuk@ipmnet.ru)
S.Yu. Ivanova (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia)
E.V. Makeev (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia)
A.V. Sinitsin (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia)
Abstract The translational movement of an elastic web (panel) performing transverse vibrations caused by initial disturbances is considered. It is supposed that the web moving with a constant translational velocity is described by the model of an elastic panel (beam) with supported edges of the examined span. The problem of the optimal suppression of vibrations of a multispan panel (web) supported at discrete points is formulated with consideration of forces applied to the web. In order to solve the optimization problem, we use modern methods developed with the control theory of distributed parameter systems described by partial differential equations.
Received 11 July 2017
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