An efficient and simple shear deformation theory for free vibration of functionally graded rectangular plates on Winkler-Pasternak elastic foundations

- Journal title : Wind and Structures
- Volume 22, Issue 3, 2016, pp.329-348
- Publisher : Techno-Press
- DOI : 10.12989/was.2016.22.3.329

Title & Authors

An efficient and simple shear deformation theory for free vibration of functionally graded rectangular plates on Winkler-Pasternak elastic foundations

Abdelbari, Salima; Fekrar, Abdelkader; Heireche, Houari; Said, Hayat; Tounsi, Abdelouahed; Adda Bedia, E.A.;

Abdelbari, Salima; Fekrar, Abdelkader; Heireche, Houari; Said, Hayat; Tounsi, Abdelouahed; Adda Bedia, E.A.;

Abstract

This work presents a simple hyperbolic shear deformation theory for analysis of functionally graded plates resting on elastic foundation. The proposed model contains fewer number of unknowns and equations of motion than the first-order shear deformation model, but the transverse shear stresses account for a hyperbolic variation and respect the tangential stress-free boundary conditions on the plate boundary surface without introducing shear correction factors. Equations of motion are obtained from Hamilton`s principle. The Navier-type analytical solutions for simply-supported plates are compared with the existing solutions to demonstrate the accuracy of the proposed theory.

Keywords

shear deformation theory;vibration;functionally graded plate;elastic foundation;

Language

English

Cited by

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A new 3-unknowns non-polynomial plate theory for buckling and vibration of functionally graded sandwich plate,;;;

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An analytical approach for buckling of functionally graded plates,;;

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Thermo-mechanical postbuckling of symmetric S-FGM plates resting on Pasternak elastic foundations using hyperbolic shear deformation theory,;;;;;;

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Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept,;;;;

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Thermal stability analysis of solar functionally graded plates on elastic foundation using an efficient hyperbolic shear deformation theory,;;;;

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A simple hyperbolic shear deformation theory for vibration analysis of thick functionally graded rectangular plates resting on elastic foundations,;;;

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