A Numerical Solution of Symmetric Angle Ply Plates Using Higher-Order Shear Deformation Theory

This research aims to provide the numerical analysis solution of symmetric angle ply plates using higher-order shear deformation theory (HSDT). The vibration of symmetric angle ply composite plates is analyzed using differential equations consisting of supplanting and turning functions. These suppla...

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Main Author: Saira Javed
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/3/767
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author Saira Javed
author_facet Saira Javed
author_sort Saira Javed
collection DOAJ
description This research aims to provide the numerical analysis solution of symmetric angle ply plates using higher-order shear deformation theory (HSDT). The vibration of symmetric angle ply composite plates is analyzed using differential equations consisting of supplanting and turning functions. These supplanting and turning functions are numerically approximated through spline approximation. The obtained global eigenvalue problem is solved numerically to find the eigenfrequency parameter and a related eigenvector of spline coefficients. The plates of different constituent components are used to study the parametric effects of the plate’s aspect ratio, side-to-thickness ratio, assembling sequence, number of composite layers, and alignment of each layer on the frequency of the plate. The obtained results are validated by existing literature.
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spelling doaj.art-47d56bd617af4ab9a35212ef8a09fca12023-11-17T14:10:42ZengMDPI AGSymmetry2073-89942023-03-0115376710.3390/sym15030767A Numerical Solution of Symmetric Angle Ply Plates Using Higher-Order Shear Deformation TheorySaira Javed0Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al Ahsa 31982, Saudi ArabiaThis research aims to provide the numerical analysis solution of symmetric angle ply plates using higher-order shear deformation theory (HSDT). The vibration of symmetric angle ply composite plates is analyzed using differential equations consisting of supplanting and turning functions. These supplanting and turning functions are numerically approximated through spline approximation. The obtained global eigenvalue problem is solved numerically to find the eigenfrequency parameter and a related eigenvector of spline coefficients. The plates of different constituent components are used to study the parametric effects of the plate’s aspect ratio, side-to-thickness ratio, assembling sequence, number of composite layers, and alignment of each layer on the frequency of the plate. The obtained results are validated by existing literature.https://www.mdpi.com/2073-8994/15/3/767composite platesnumerical analysis solutionHSDTsymmetric angle plyeigenfrequency parameter
spellingShingle Saira Javed
A Numerical Solution of Symmetric Angle Ply Plates Using Higher-Order Shear Deformation Theory
Symmetry
composite plates
numerical analysis solution
HSDT
symmetric angle ply
eigenfrequency parameter
title A Numerical Solution of Symmetric Angle Ply Plates Using Higher-Order Shear Deformation Theory
title_full A Numerical Solution of Symmetric Angle Ply Plates Using Higher-Order Shear Deformation Theory
title_fullStr A Numerical Solution of Symmetric Angle Ply Plates Using Higher-Order Shear Deformation Theory
title_full_unstemmed A Numerical Solution of Symmetric Angle Ply Plates Using Higher-Order Shear Deformation Theory
title_short A Numerical Solution of Symmetric Angle Ply Plates Using Higher-Order Shear Deformation Theory
title_sort numerical solution of symmetric angle ply plates using higher order shear deformation theory
topic composite plates
numerical analysis solution
HSDT
symmetric angle ply
eigenfrequency parameter
url https://www.mdpi.com/2073-8994/15/3/767
work_keys_str_mv AT sairajaved anumericalsolutionofsymmetricangleplyplatesusinghigherordersheardeformationtheory
AT sairajaved numericalsolutionofsymmetricangleplyplatesusinghigherordersheardeformationtheory