Effect of Thickness Stretching on the Natural Frequencies of Laminate-Faced Sandwich Plates Using a New Layerwise Model

The current work investigates the effect of thickness stretching on the natural frequencies of laminate-faced sandwich plates using new layerwise finite element model. The proposed model assumes higher-order displacement field for the core and first-order displacement field for the face sheets. Than...

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Main Authors: Mohamed-Ouejdi Belarbi, Abdelouahab Tati, Abdelhak Khechai
Format: Article
Language:English
Published: University Amar Telidji of Laghouat 2019-07-01
Series:Journal of Building Materials and Structures
Subjects:
Online Access:http://journals.lagh-univ.dz/index.php/jbms/article/view/71
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author Mohamed-Ouejdi Belarbi
Abdelouahab Tati
Abdelhak Khechai
author_facet Mohamed-Ouejdi Belarbi
Abdelouahab Tati
Abdelhak Khechai
author_sort Mohamed-Ouejdi Belarbi
collection DOAJ
description The current work investigates the effect of thickness stretching on the natural frequencies of laminate-faced sandwich plates using new layerwise finite element model. The proposed model assumes higher-order displacement field for the core and first-order displacement field for the face sheets. Thanks for enforcing the continuity of the interlaminar displacement, the number of variables is independent of the number of layers. The consistent mass matrix and the element stiffness matrix are derived using the Hamilton’s principle. The performance and reliability of the proposed formulation are demonstrated by comparing the author’s results with those obtained using the three-dimensional elasticity theory, analytical solutions and other advanced finite element models.
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spelling doaj.art-6f1cc0ceadd74835b9cd2dbea08b5ba12022-12-22T00:39:26ZengUniversity Amar Telidji of LaghouatJournal of Building Materials and Structures2353-00572019-07-0162889610.5281/zenodo.335231071Effect of Thickness Stretching on the Natural Frequencies of Laminate-Faced Sandwich Plates Using a New Layerwise ModelMohamed-Ouejdi Belarbi0Abdelouahab Tati1Abdelhak Khechai2Laboratoire de Génie Energétique et Matériaux, LGEM. Université de Biskra B.P. 145, R.P. 07000, Biskra, AlgeriaLaboratoire de Génie Energétique et Matériaux, LGEM. Université de Biskra B.P. 145, R.P. 07000, Biskra, Algeria.Laboratoire de Génie Civil, LRGC. Université de Biskra B.P. 145, R.P. 07000, Biskra, Algeria.The current work investigates the effect of thickness stretching on the natural frequencies of laminate-faced sandwich plates using new layerwise finite element model. The proposed model assumes higher-order displacement field for the core and first-order displacement field for the face sheets. Thanks for enforcing the continuity of the interlaminar displacement, the number of variables is independent of the number of layers. The consistent mass matrix and the element stiffness matrix are derived using the Hamilton’s principle. The performance and reliability of the proposed formulation are demonstrated by comparing the author’s results with those obtained using the three-dimensional elasticity theory, analytical solutions and other advanced finite element models.http://journals.lagh-univ.dz/index.php/jbms/article/view/71layerwisefinite elementsandwich platesfree vibration
spellingShingle Mohamed-Ouejdi Belarbi
Abdelouahab Tati
Abdelhak Khechai
Effect of Thickness Stretching on the Natural Frequencies of Laminate-Faced Sandwich Plates Using a New Layerwise Model
Journal of Building Materials and Structures
layerwise
finite element
sandwich plates
free vibration
title Effect of Thickness Stretching on the Natural Frequencies of Laminate-Faced Sandwich Plates Using a New Layerwise Model
title_full Effect of Thickness Stretching on the Natural Frequencies of Laminate-Faced Sandwich Plates Using a New Layerwise Model
title_fullStr Effect of Thickness Stretching on the Natural Frequencies of Laminate-Faced Sandwich Plates Using a New Layerwise Model
title_full_unstemmed Effect of Thickness Stretching on the Natural Frequencies of Laminate-Faced Sandwich Plates Using a New Layerwise Model
title_short Effect of Thickness Stretching on the Natural Frequencies of Laminate-Faced Sandwich Plates Using a New Layerwise Model
title_sort effect of thickness stretching on the natural frequencies of laminate faced sandwich plates using a new layerwise model
topic layerwise
finite element
sandwich plates
free vibration
url http://journals.lagh-univ.dz/index.php/jbms/article/view/71
work_keys_str_mv AT mohamedouejdibelarbi effectofthicknessstretchingonthenaturalfrequenciesoflaminatefacedsandwichplatesusinganewlayerwisemodel
AT abdelouahabtati effectofthicknessstretchingonthenaturalfrequenciesoflaminatefacedsandwichplatesusinganewlayerwisemodel
AT abdelhakkhechai effectofthicknessstretchingonthenaturalfrequenciesoflaminatefacedsandwichplatesusinganewlayerwisemodel