Vibration analysis using the theory of exponential shear deformation for laminated plates
In this research, the free vibration response of laminated composite plates is studied using a refined exponential shear strain theory. The most interesting feature of this theory is that it allows exponential distributions of transverse shear strains, and verifies zero-shear boundary conditions on...
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Format: | Article |
Language: | English |
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Universidade Federal de Viçosa (UFV)
2024-10-01
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Series: | The Journal of Engineering and Exact Sciences |
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Online Access: | https://periodicos.ufv.br/jcec/article/view/19977 |
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author | Khaled Bendahane Mohammed Sehoul Otbi Bouguenina Abdelkrim Benahmed |
author_facet | Khaled Bendahane Mohammed Sehoul Otbi Bouguenina Abdelkrim Benahmed |
author_sort | Khaled Bendahane |
collection | DOAJ |
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In this research, the free vibration response of laminated composite plates is studied using a refined exponential shear strain theory. The most interesting feature of this theory is that it allows exponential distributions of transverse shear strains, and verifies zero-shear boundary conditions on the plate surfaces without the use of shear correction factors. Some stiffness constants are written as a series. The number of independent unknowns in the present theory is four, compared with five in other shear deformation theories. The equations of motion are obtained from Hamilton's principle and Navier's method is used to determine the exact solution for antisymmetric cross-laminated plates. The numerical results found in the present analysis for free vibration are presented and compared with those available in the literature. The proposed theory is not only accurate, but also effective in predicting the fundamental frequencies of laminated composite plates.
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format | Article |
id | doaj-art-86263597429c4fbf9b519cd9c01ad0f6 |
institution | Kabale University |
issn | 2527-1075 |
language | English |
publishDate | 2024-10-01 |
publisher | Universidade Federal de Viçosa (UFV) |
record_format | Article |
series | The Journal of Engineering and Exact Sciences |
spelling | doaj-art-86263597429c4fbf9b519cd9c01ad0f62025-02-02T19:53:19ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752024-10-0110710.18540/jcecvl10iss7pp19977Vibration analysis using the theory of exponential shear deformation for laminated platesKhaled Bendahane0Mohammed Sehoul1Otbi Bouguenina2Abdelkrim Benahmed3University Center Nour Bachir El-Bayadh, AlgeriaUniversity Center Nour Bachir El-Bayadh, AlgeriaUniversity Center Nour Bachir El-Bayadh, AlgeriaUniversity Center Nour Bachir El-Bayadh, Algeria In this research, the free vibration response of laminated composite plates is studied using a refined exponential shear strain theory. The most interesting feature of this theory is that it allows exponential distributions of transverse shear strains, and verifies zero-shear boundary conditions on the plate surfaces without the use of shear correction factors. Some stiffness constants are written as a series. The number of independent unknowns in the present theory is four, compared with five in other shear deformation theories. The equations of motion are obtained from Hamilton's principle and Navier's method is used to determine the exact solution for antisymmetric cross-laminated plates. The numerical results found in the present analysis for free vibration are presented and compared with those available in the literature. The proposed theory is not only accurate, but also effective in predicting the fundamental frequencies of laminated composite plates. https://periodicos.ufv.br/jcec/article/view/19977Laminated composite plates; free vibration; refined exponential theory; Navier solution. |
spellingShingle | Khaled Bendahane Mohammed Sehoul Otbi Bouguenina Abdelkrim Benahmed Vibration analysis using the theory of exponential shear deformation for laminated plates The Journal of Engineering and Exact Sciences Laminated composite plates; free vibration; refined exponential theory; Navier solution. |
title | Vibration analysis using the theory of exponential shear deformation for laminated plates |
title_full | Vibration analysis using the theory of exponential shear deformation for laminated plates |
title_fullStr | Vibration analysis using the theory of exponential shear deformation for laminated plates |
title_full_unstemmed | Vibration analysis using the theory of exponential shear deformation for laminated plates |
title_short | Vibration analysis using the theory of exponential shear deformation for laminated plates |
title_sort | vibration analysis using the theory of exponential shear deformation for laminated plates |
topic | Laminated composite plates; free vibration; refined exponential theory; Navier solution. |
url | https://periodicos.ufv.br/jcec/article/view/19977 |
work_keys_str_mv | AT khaledbendahane vibrationanalysisusingthetheoryofexponentialsheardeformationforlaminatedplates AT mohammedsehoul vibrationanalysisusingthetheoryofexponentialsheardeformationforlaminatedplates AT otbibouguenina vibrationanalysisusingthetheoryofexponentialsheardeformationforlaminatedplates AT abdelkrimbenahmed vibrationanalysisusingthetheoryofexponentialsheardeformationforlaminatedplates |