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IssuesArchive of Issues2013-6pp.697-705

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A.E. Babaev and I.V. Yanchevskii, "Identification of External Load and Control of Deformed State of an Asymmetric Trimorphic Beam in Unsteady Modes," Mech. Solids. 48 (6), 697-705 (2013)
Year 2013 Volume 48 Number 6 Pages 697-705
DOI 10.3103/S0025654413060125
Title Identification of External Load and Control of Deformed State of an Asymmetric Trimorphic Beam in Unsteady Modes
Author(s) A.E. Babaev (Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Nesterova 3, Kiev, 03057 Ukraine, artashes@i.com.ua)
I.V. Yanchevskii (Kharkiv National Automobile and Highway University, Petrovskogo 25, Kharkiv, 61002 Ukraine, yanchevsky@khadi.kharkov.ua)
Abstract We consider the problem of identifying the time-variation law of an external pulse load acting on an asymmetric trimorphic electroelastic beam with simultaneous minimization of the deformed state of the beam. In this problem, one of the trimorph layers operates in the direct piezoelectric effect mode and the other in the inverse piezoelectric effect mode. The control is performed by exciting the actuating piezoelectric layer by an electric signal determined according to one of the proposed criteria. The solution is obtained by using the Laplace integral transform with respect to time. The desired variables are determined from a system of Volterra integral equations after analytically passing to the space of transforms. The computations are based on special regularizing algorithms. Numerical results are presented and analyzed.
Keywords asymmetric trimorphic beam, unsteady process, identification, Laplace integral representation
References
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Received 02 November 2009
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