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

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 ene...

Full description

Saved in:
Bibliographic Details
Main Authors: M. E. Fares, M. Kh. Elmarghany, Doaa Atta
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:International Journal of Aerospace Engineering
Online Access:http://dx.doi.org/10.1155/2014/516303
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832552266670800896
author M. E. Fares
M. Kh. Elmarghany
Doaa Atta
author_facet M. E. Fares
M. Kh. Elmarghany
Doaa Atta
author_sort M. E. Fares
collection DOAJ
description 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.
format Article
id doaj-art-fd1a6d6ed03646a6ba1ed90f8b16a730
institution Kabale University
issn 1687-5966
1687-5974
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series International Journal of Aerospace Engineering
spelling doaj-art-fd1a6d6ed03646a6ba1ed90f8b16a7302025-02-03T05:59:13ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742014-01-01201410.1155/2014/516303516303Active Control Optimization for Minimizing the Dynamic Response of Functionally Graded PlateM. E. Fares0M. Kh. Elmarghany1Doaa Atta2Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptA 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.http://dx.doi.org/10.1155/2014/516303
spellingShingle M. E. Fares
M. Kh. Elmarghany
Doaa Atta
Active Control Optimization for Minimizing the Dynamic Response of Functionally Graded Plate
International Journal of Aerospace Engineering
title Active Control Optimization for Minimizing the Dynamic Response of Functionally Graded Plate
title_full Active Control Optimization for Minimizing the Dynamic Response of Functionally Graded Plate
title_fullStr Active Control Optimization for Minimizing the Dynamic Response of Functionally Graded Plate
title_full_unstemmed Active Control Optimization for Minimizing the Dynamic Response of Functionally Graded Plate
title_short Active Control Optimization for Minimizing the Dynamic Response of Functionally Graded Plate
title_sort active control optimization for minimizing the dynamic response of functionally graded plate
url http://dx.doi.org/10.1155/2014/516303
work_keys_str_mv AT mefares activecontroloptimizationforminimizingthedynamicresponseoffunctionallygradedplate
AT mkhelmarghany activecontroloptimizationforminimizingthedynamicresponseoffunctionallygradedplate
AT doaaatta activecontroloptimizationforminimizingthedynamicresponseoffunctionallygradedplate