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International Journal of Aerospace Engineering
Volume 2014, Article ID 516303, 15 pages
Research Article

Active Control Optimization for Minimizing the Dynamic Response of Functionally Graded Plate

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Received 10 July 2014; Accepted 22 September 2014; Published 27 October 2014

Academic Editor: Ronald M. Barrett

Copyright © 2014 M. E. Fares et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A control optimization problem for functionally graded (FG) plates is presented using a first-order shear deformation plate theory including through-the-thickness normal strain effect. The aim of the optimization is to minimize the vibrational response of FG plate with constraints on the control energy used in the damping process. An active control optimization is presented to determine the optimal level of a closed loop control function. Plate thickness and a homogeneity parameter of FG plates are used as design variables. Numerical results for the optimal control force and the total energy for a simply supported FG plate are given. The influence of through-the-thickness normal strain effect on the accuracy of the obtained results is illustrated. The effectiveness of the present control and design procedure is examined.