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Earthquakes and Structures Volume 10, Number 5, May 2016 , pages 1033-1048 DOI: https://doi.org/10.12989/eas.2016.10.5.1033 |
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Free vibration analysis of FG plates resting on the elastic foundation and based on the neutral surface concept using higher order shear deformation theory |
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Rabia Benferhat, Tahar Hassaine Daouadji, Mohamed Said Mansour
and Lazreg Hadji
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| Abstract | ||
| An analytical solution based on the neutral surface concept is developed to study the free vibration behavior of simply supported functionally graded plate reposed on the elastic foundation by taking into account the effect of transverse shear deformations. No transversal shear correction factors are needed because a correct representation of the transversal shearing strain obtained by using a new refined shear deformation theory. The foundation is described by the Winkler-Pasternak model. The Young´s modulus of the plate is assumed to vary continuously through the thickness according to a power law formulation, and the Poisson ratio is held constant. The equation of motion for FG rectangular plates resting on elastic foundation is obtained through Hamilton´s principle. Numerical examples are provided to show the effect of foundation stiffness parameters presented for thick to thin plates and for various values of the gradient index, aspect and side to thickness ratio. It was found that the proposed theory predicts the fundamental frequencies very well with the ones available in literature. | ||
| Key Words | ||
| functionally graded material; analytical solution; free vibration analysis; neutral surface concept; elastic foundation | ||
| Address | ||
| Rabia Benferhat, Mohamed Said Mansour: Laboratoire de Géomatériaux, Département de Génie Civil, Université de Chlef, Algérie Tahar Hassaine Daouadji, Lazreg Hadji: Département de Génie Civil, Université Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algérie | ||