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:	Hindawi Limited 2021-01-01
Series:	Shock and Vibration
Online Access:	http://dx.doi.org/10.1155/2021/8843358

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spelling	doaj-cd1835082c8a4bcf84bd08522be63ab12021-02-15T12:52:46ZengHindawi LimitedShock 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
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Saira Javed F. H. H. Al Mukahal S. B. A. El Sayed
spellingShingle	Saira Javed F. H. H. Al Mukahal S. B. A. El Sayed Geometrical Influences on the Vibration of Layered Plates Shock and Vibration
author_facet	Saira Javed F. H. H. Al Mukahal S. B. A. El Sayed
author_sort	Saira Javed
title	Geometrical Influences on the Vibration of Layered Plates
title_short	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_sort	geometrical influences on the vibration of layered plates
publisher	Hindawi Limited
series	Shock and Vibration
issn	1070-9622 1875-9203
publishDate	2021-01-01
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.
url	http://dx.doi.org/10.1155/2021/8843358
work_keys_str_mv	AT sairajaved geometricalinfluencesonthevibrationoflayeredplates AT fhhalmukahal geometricalinfluencesonthevibrationoflayeredplates AT sbaelsayed geometricalinfluencesonthevibrationoflayeredplates
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Geometrical Influences on the Vibration of Layered Plates

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