Semi-active control of a sandwich beam partially filled with magnetorheological elastomer

Jacek Mateusz Bajkowski , Bartłomiej Dyniewicz , Czesław Bajer

Abstract

The paper deals with the semi-active control of vibrations of structural elements. Elastomer composites with ferromagnetic particles that act as magnetorheological fluids are used. The damping coefficient and the shear modulus of the elastomer increases when it is exposed to an electro-magnetic field. The control of this process in time allows us to reduce vibrations more effectively than if the elastomer is permanently exposed to a magnetic field. First the analytical solution for the vibrations of a sandwich beam filled with an elastomer is given. Then the control problem is defined and applied to the analytical formula. The numerical solution of the minimization problem results in a periodic, perfectly rectangular control function if free vibrations are considered. Such a temporarily acting magnetic field is more efficient than a constantly acting one. The surplus reaches 20–50% or more, depending on the filling ratio of the elastomer. The resulting control was verified experimentally in the vibrations of a cantilever sandwich beam. The proposed semi-active control can be directly applied to engineering vibrating structural elements, for example helicopter rotors, aircraft wings, pads under machines, and vehicles.
Author Jacek Mateusz Bajkowski (FPE / IMP)
Jacek Mateusz Bajkowski,,
- The Institute of Mechanics and Printing
, Bartłomiej Dyniewicz - Institute of Fundamental Technological Research Polish Academy of Sciences (IPPT PAN)
Bartłomiej Dyniewicz,,
-
, Czesław Bajer - Institute of Fundamental Technological Research Polish Academy of Sciences (IPPT PAN)
Czesław Bajer,,
-
Journal seriesMechanical Systems and Signal Processing, ISSN 0888-3270, (A 45 pkt)
Issue year2015
No60-61
Pages695-705
Publication size in sheets0.5
Keywords in EnglishSemi-active control; Beam vibration; Magnetorheological elastomer; Sandwich beam; Damping
Abstract in PolishPraca poświęcona jest pół-aktywnemu sterowaniu drgań belkowych elementów konstrukcyjnych, wykorzystujących inteligentne kompozyty elastomerowe z cząsteczkami ferromagnetycznymi. Zaproponowano model matematyczny drgań belki warstwowej wypełnionej elastomerem o czasowo zmiennym module Kirchhoffa oraz sformułowano problem optymalnego sterowania. Dowiedziono, że wyznaczone sterowanie polegające na skokowym zwiększaniu i zmniejszaniu sztywności pozwala zwiększyć skuteczność redukcji drgań o 20-50% w stosunku do układu pasywnego. Otrzymane teoretyczne przebiegi sterowania zweryfikowano doświadczalnie.
DOIDOI:10.1016/j.ymssp.2015.01.032
Languageen angielski
Score (nominal)45
ScoreMinisterial score = 40.0, 28-11-2017, ArticleFromJournal
Ministerial score (2013-2016) = 45.0, 28-11-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2015 = 2.771 (2) - 2015=3.418 (5)
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