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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Format: | Article |
Language: | English |
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Wiley
2021-01-01
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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 |
id | doaj-art-cd1835082c8a4bcf84bd08522be63ab1 |
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 |
work_keys_str_mv | AT sairajaved geometricalinfluencesonthevibrationoflayeredplates AT fhhalmukahal geometricalinfluencesonthevibrationoflayeredplates AT sbaelsayed geometricalinfluencesonthevibrationoflayeredplates |