This paper presents a solution to the stabilization problem of large amplitude vibration of the anisotropic composite laminated plates when the Kirchhoff theorem is used to model geometric equations of strain. Because of the large displacement in the normal direction to the plate, the plate displacements in in-plane directions are not dispensable, and strains and governing equations for transverse vibration and in-plane motions are nonlinear; therefore, the nonlinear boundary control method is proposed to be utilized to stabilize the plate vibration. The boundary control forces consist of feedback of the velocities and slope at the boundary of the plate. By applying the proposed method, it is possible to asymptotically stabilize large amplitude vibration of anisotropic composite plates with simply supported boundary conditions without resorting to truncation of the model and without the use of in-domain measuring and actuating devices.
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e-mail: rastgoftar@shirazu.ac.ir
e-mail: eghtesad@shirazu.ac.ir
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December 2010
Research Papers
Boundary Control of Large Amplitude Vibration of Anisotropic Composite Laminated Plates
Hossein Rastgoftar,
Hossein Rastgoftar
MSc. Graduate of Mechanical Eng.
Department of Mechanical Engineering, School of Engineering,
e-mail: rastgoftar@shirazu.ac.ir
Shiraz University
, Mollasadra Avenue, Shiraz, Fars 71348-51154, Iran
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Mohammad Eghtesad,
Mohammad Eghtesad
Associate Professor
Department of Mechanical Engineering, School of Engineering,
e-mail: eghtesad@shirazu.ac.ir
Shiraz University
, Mollasadra Avenue, Shiraz, Fars 71348-51154, Iran
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Alireza Khayatian
Alireza Khayatian
Associate Professor
Department of Electrical Engineering, School of Engineering,
Shiraz University
, Mollasadra Avenue, Shiraz, Fars 71348-51154, Iran
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Hossein Rastgoftar
MSc. Graduate of Mechanical Eng.
Department of Mechanical Engineering, School of Engineering,
Shiraz University
, Mollasadra Avenue, Shiraz, Fars 71348-51154, Irane-mail: rastgoftar@shirazu.ac.ir
Mohammad Eghtesad
Associate Professor
Department of Mechanical Engineering, School of Engineering,
Shiraz University
, Mollasadra Avenue, Shiraz, Fars 71348-51154, Irane-mail: eghtesad@shirazu.ac.ir
Alireza Khayatian
Associate Professor
Department of Electrical Engineering, School of Engineering,
Shiraz University
, Mollasadra Avenue, Shiraz, Fars 71348-51154, IranJ. Vib. Acoust. Dec 2010, 132(6): 061009 (14 pages)
Published Online: October 8, 2010
Article history
Received:
June 29, 2008
Revised:
December 10, 2009
Online:
October 8, 2010
Published:
October 8, 2010
Citation
Rastgoftar, H., Eghtesad, M., and Khayatian, A. (October 8, 2010). "Boundary Control of Large Amplitude Vibration of Anisotropic Composite Laminated Plates." ASME. J. Vib. Acoust. December 2010; 132(6): 061009. https://doi.org/10.1115/1.4000984
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