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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 |
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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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Salima Abdelbari, Abdelkader Fekrar, Houari Heireche, Hayat Saidi, Abdelouahed Tounsi and E.A. Adda Bedia
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| 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 | ||