Dynamic Behavior Analysis of Functionally Graded Nanoplates Based on Elastic Foundations

An analytical study to predict the behavior of FGM Nano-plates supported by Pasternak elastic foundations based on a theory ofhyperbolic shear strain. Nonlocal elasticity theory is used to introduce the effect of small scale. The influence of the parameters of thegeometry, the foundation stiffness,...

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Main Author: Abdelbaki CHEIKH
Format: Article
Language:English
Published: University "Hassiba Benbouali" de Chlef 2022-12-01
Series:Revue Nature et Technologie
Subjects:
Online Access:http://193.194.82.220:80/index.php/natec/article/view/96
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author Abdelbaki CHEIKH
author_facet Abdelbaki CHEIKH
author_sort Abdelbaki CHEIKH
collection DOAJ
description An analytical study to predict the behavior of FGM Nano-plates supported by Pasternak elastic foundations based on a theory ofhyperbolic shear strain. Nonlocal elasticity theory is used to introduce the effect of small scale. The influence of the parameters of thegeometry, the foundation stiffness, and the material property are presented. Hence it is unnecessary to use shear correction factors. The governing equations are derived from the principle of virtual work. The free vibration solutions are finally presented for the nonlocalhigher order plate models. The numerical results obtained in the present study for several examples are presented and compared to other models available in the literature.
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spelling doaj.art-a859325d2f0b427fb744542fb62999222023-11-08T15:39:20ZengUniversity "Hassiba Benbouali" de ChlefRevue Nature et Technologie1112-97782437-03122022-12-011102Dynamic Behavior Analysis of Functionally Graded Nanoplates Based on Elastic FoundationsAbdelbaki CHEIKH 0Civil engineering Department, Applied Sciences Faculty, Ibn Khaldoun University of Tiaret, Algeria An analytical study to predict the behavior of FGM Nano-plates supported by Pasternak elastic foundations based on a theory ofhyperbolic shear strain. Nonlocal elasticity theory is used to introduce the effect of small scale. The influence of the parameters of thegeometry, the foundation stiffness, and the material property are presented. Hence it is unnecessary to use shear correction factors. The governing equations are derived from the principle of virtual work. The free vibration solutions are finally presented for the nonlocalhigher order plate models. The numerical results obtained in the present study for several examples are presented and compared to other models available in the literature. http://193.194.82.220:80/index.php/natec/article/view/96Pasternak elastic foundationsHyperbolic shear strainNano-plates
spellingShingle Abdelbaki CHEIKH
Dynamic Behavior Analysis of Functionally Graded Nanoplates Based on Elastic Foundations
Revue Nature et Technologie
Pasternak elastic foundations
Hyperbolic shear strain
Nano-plates
title Dynamic Behavior Analysis of Functionally Graded Nanoplates Based on Elastic Foundations
title_full Dynamic Behavior Analysis of Functionally Graded Nanoplates Based on Elastic Foundations
title_fullStr Dynamic Behavior Analysis of Functionally Graded Nanoplates Based on Elastic Foundations
title_full_unstemmed Dynamic Behavior Analysis of Functionally Graded Nanoplates Based on Elastic Foundations
title_short Dynamic Behavior Analysis of Functionally Graded Nanoplates Based on Elastic Foundations
title_sort dynamic behavior analysis of functionally graded nanoplates based on elastic foundations
topic Pasternak elastic foundations
Hyperbolic shear strain
Nano-plates
url http://193.194.82.220:80/index.php/natec/article/view/96
work_keys_str_mv AT abdelbakicheikh dynamicbehavioranalysisoffunctionallygradednanoplatesbasedonelasticfoundations