Geometrical Influences on the Vibration of Layered Plates

This paper aims to study the influence of different geometric properties and support conditions on the vibration of layered plates of nonuniform thickness under shear deformation theory. The layered plates are supposed to have arbitrarily nonuniform thickness as linear, exponential, and sinusoidal....

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Main Authors: Saira Javed, F. H. H. Al Mukahal, S. B. A. El Sayed
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2021/8843358
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author Saira Javed
F. H. H. Al Mukahal
S. B. A. El Sayed
author_facet Saira Javed
F. H. H. Al Mukahal
S. B. A. El Sayed
author_sort Saira Javed
collection DOAJ
description This paper aims to study the influence of different geometric properties and support conditions on the vibration of layered plates of nonuniform thickness under shear deformation theory. The layered plates are supposed to have arbitrarily nonuniform thickness as linear, exponential, and sinusoidal. The spline approximation is used to approximate translational and angular displacement functions. Eigen frequency parameters are calculated by solving eigenvalue problem. The geometrical influences such as number of lay-ups, different ply orientations, each ply consisting of different material, side-to-thickness ratio, and aspect ratio are taken into consideration to examine the frequency variation of plates for two different support conditions.
format Article
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institution Kabale University
issn 1070-9622
1875-9203
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-cd1835082c8a4bcf84bd08522be63ab12025-02-03T01:31:22ZengWileyShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/88433588843358Geometrical Influences on the Vibration of Layered PlatesSaira Javed0F. H. H. Al Mukahal1S. B. A. El Sayed2Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Hofuf 31982, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Hofuf 31982, Saudi ArabiaDepartment of Basic Science, Common First Year Deanship, Jouf University, Sakaka, Saudi ArabiaThis paper aims to study the influence of different geometric properties and support conditions on the vibration of layered plates of nonuniform thickness under shear deformation theory. The layered plates are supposed to have arbitrarily nonuniform thickness as linear, exponential, and sinusoidal. The spline approximation is used to approximate translational and angular displacement functions. Eigen frequency parameters are calculated by solving eigenvalue problem. The geometrical influences such as number of lay-ups, different ply orientations, each ply consisting of different material, side-to-thickness ratio, and aspect ratio are taken into consideration to examine the frequency variation of plates for two different support conditions.http://dx.doi.org/10.1155/2021/8843358
spellingShingle Saira Javed
F. H. H. Al Mukahal
S. B. A. El Sayed
Geometrical Influences on the Vibration of Layered Plates
Shock and Vibration
title Geometrical Influences on the Vibration of Layered Plates
title_full Geometrical Influences on the Vibration of Layered Plates
title_fullStr Geometrical Influences on the Vibration of Layered Plates
title_full_unstemmed Geometrical Influences on the Vibration of Layered Plates
title_short Geometrical Influences on the Vibration of Layered Plates
title_sort geometrical influences on the vibration of layered plates
url http://dx.doi.org/10.1155/2021/8843358
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AT fhhalmukahal geometricalinfluencesonthevibrationoflayeredplates
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