Analytical Solutions of Laminated Plates with Oblique Piezoelectric Patches

This work presents a detailed model of symmetric laminated plates with oblique piezoelectric patches. The model is developed to predict the static behavior of laminated plates subjected to bending moments induced by piezoelectric strains. The model considers plates of orthotropic layers and obeys th...

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Main Author: Osama J. Aldraihem
Format: Article
Language:English
Published: Elsevier 2003-01-01
Series:Journal of King Saud University: Engineering Sciences
Online Access:http://www.sciencedirect.com/science/article/pii/S1018363918307840
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author Osama J. Aldraihem
author_facet Osama J. Aldraihem
author_sort Osama J. Aldraihem
collection DOAJ
description This work presents a detailed model of symmetric laminated plates with oblique piezoelectric patches. The model is developed to predict the static behavior of laminated plates subjected to bending moments induced by piezoelectric strains. The model considers plates of orthotropic layers and obeys the classical plate theory. The piezoelectric patches are symmetrically bonded at off-axis orientation on the plate upper and lower surfaces. Furthermore, the patches may have straight and curved boundaries. The action of the active patches is represented by the singularity functions. Analytical solutions of specially orthotropic plates, i.e., plates for which bending-twisting coefficients D16 and D26 are zero, with simply supported boundary conditions are developed. The solutions rely on the Navier’s approach. Numerical examples of plates with oblique PZT patches that have straight and curved boundaries are presented. These examples demonstrated that the use of oblique patches could provide control authority that is difficult to be provided by the traditional orientation. The results of the present study can be directly used to perform various analysis of shape control of laminated plates. Analytical solutions of plates with two opposite edges simply supported and the remaining two edges having any possible combination of boundary conditions are natural extension of the present study. Keywords: Smart structures, Laminates, Plates, Piezoelectric actuators, Oblique patches, Shape control, Analytical solutions
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spelling doaj.art-aa32e323c71943dc89ce6c1d00cffc532022-12-21T23:01:50ZengElsevierJournal of King Saud University: Engineering Sciences1018-36392003-01-01161143157Analytical Solutions of Laminated Plates with Oblique Piezoelectric PatchesOsama J. Aldraihem0Mechanical Engineering Department, King Saud University, PO Box 800, Riyadh 11421, Kingdom of Saudi ArabiaThis work presents a detailed model of symmetric laminated plates with oblique piezoelectric patches. The model is developed to predict the static behavior of laminated plates subjected to bending moments induced by piezoelectric strains. The model considers plates of orthotropic layers and obeys the classical plate theory. The piezoelectric patches are symmetrically bonded at off-axis orientation on the plate upper and lower surfaces. Furthermore, the patches may have straight and curved boundaries. The action of the active patches is represented by the singularity functions. Analytical solutions of specially orthotropic plates, i.e., plates for which bending-twisting coefficients D16 and D26 are zero, with simply supported boundary conditions are developed. The solutions rely on the Navier’s approach. Numerical examples of plates with oblique PZT patches that have straight and curved boundaries are presented. These examples demonstrated that the use of oblique patches could provide control authority that is difficult to be provided by the traditional orientation. The results of the present study can be directly used to perform various analysis of shape control of laminated plates. Analytical solutions of plates with two opposite edges simply supported and the remaining two edges having any possible combination of boundary conditions are natural extension of the present study. Keywords: Smart structures, Laminates, Plates, Piezoelectric actuators, Oblique patches, Shape control, Analytical solutionshttp://www.sciencedirect.com/science/article/pii/S1018363918307840
spellingShingle Osama J. Aldraihem
Analytical Solutions of Laminated Plates with Oblique Piezoelectric Patches
Journal of King Saud University: Engineering Sciences
title Analytical Solutions of Laminated Plates with Oblique Piezoelectric Patches
title_full Analytical Solutions of Laminated Plates with Oblique Piezoelectric Patches
title_fullStr Analytical Solutions of Laminated Plates with Oblique Piezoelectric Patches
title_full_unstemmed Analytical Solutions of Laminated Plates with Oblique Piezoelectric Patches
title_short Analytical Solutions of Laminated Plates with Oblique Piezoelectric Patches
title_sort analytical solutions of laminated plates with oblique piezoelectric patches
url http://www.sciencedirect.com/science/article/pii/S1018363918307840
work_keys_str_mv AT osamajaldraihem analyticalsolutionsoflaminatedplateswithobliquepiezoelectricpatches