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