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Wind and Structures
  Volume 22, Number 3, March 2016 , pages 329-348
DOI: https://doi.org/10.12989/was.2016.22.3.329
 


An efficient and simple shear deformation theory for free vibration of functionally graded rectangular plates on Winkler–Pasternak elastic foundations
Salima Abdelbari, Abdelkader Fekrar, Houari Heireche, Hayat Saidi, Abdelouahed Tounsi and E.A. Adda Bedia

 
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.
 
Key Words
    shear deformation theory; vibration; functionally graded plate; elastic foundation
 
Address
Salima Abdelbari, Abdelkader Fekrar and Hayat Saidi: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
Abdelouahed Tounsi:Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology,
Civil Engineering Department, Algeria;
Laboratoire de Modélisation et Simulation Multi-échelle, Département de Physique, Faculté des Sciences Exactes, Département de Physique, Université de Sidi Bel Abbés, Algeria;
Algerian National Thematic Agency of Research in Science and Technology (ATRST), Algeria
E.A. Adda Bedia: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology,
Civil Engineering Department, Algeria;
Algerian National Thematic Agency of Research in Science and Technology (ATRST), Algeria
 

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