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Wind and Structures Volume 22, Number 4, April 2016 , pages 429-454 DOI: https://doi.org/10.12989/was.2016.22.4.429 |
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Effect of porosity on vibrational characteristics of non-homogeneous plates using hyperbolic shear deformation theory |
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Fethi Mouaici, Samir Benyoucef, Hassen Ait Atmane and Abdelouahed Tounsi
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| Abstract | ||
| In this paper, a shear deformation plate theory based on neutral surface position is developed for free vibration analysis of functionally graded material (FGM) plates. The material properties of the FGM plates are assumed to vary through the thickness of the plate by a simple power-law distribution in terms of the volume fractions of the constituents. During manufacture, defects such as porosities can appear. It is therefore necessary to consider the vibration behavior of FG plates having porosities in this investigation. The proposed theory is based on assumption that the in-plane and transverse displacements consist of bending and shear components, in which the bending components do not contribute toward shear forces and, likewise, the shear components do not contribute toward bending moments. The neutral surface position for a functionally graded plate which its material properties vary in the thickness direction is determined. The equation of motion for FG rectangular plates is obtained through Hamilton\'s principle. The closed form solutions are obtained by using Navier technique, and then fundamental frequencies are found by solving the results of eigenvalue problems. Numerical results are presented and the influences of the volume fraction index and porosity volume fraction on frequencies of FGM plates are clearly discussed. | ||
| Key Words | ||
| functionally graded material; porosities; free vibration; plate theory; neutral surface position | ||
| Address | ||
| Fethi Mouaici: Department of Civil Engineering, Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Algeria Samir Benyoucef and Abdelouahed Tounsi Department of Civil Engineering, Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Algeria; Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, BP 89 Cité Ben M\'hidi, 22000 Sidi Bel Abbes, Algeria | ||