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Structural Engineering and Mechanics Volume 70, Number 1, April10 2019 , pages 97-112 DOI: https://doi.org/10.12989/sem.2019.70.1.097 |
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The effect of porosity on free vibration of SPFG circular plates resting on visco-Pasternak elastic foundation based on CPT, FSDT and TSDT |
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Ehsan Arshid, Ahmad Reza Khorshidvand and S. Mahdi Khorsandijou
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| Abstract | ||
| Using the classical, first order and third order shear deformation plates theories the motion equations of an undrained porous FG circular plate which is located on visco-Pasternak elastic foundation have been derived and used for free vibration analysis thereof. Strains are related to displacements by Sanders relationship. Fluid has saturated the pores whose distribution varies through the thickness according to three physically probable given functions. The equations are discretized and numerically solved by the generalized differential quadrature method. The effect of porosity, pores distribution, fluid compressibility, viscoelastic foundation and aspect ratio of the plate on its vibration has been considered. | ||
| Key Words | ||
| free vibration; porous material; circular plate; generalized differential quadrature method; shear deformation plate theory; visco-Pasternak foundation | ||
| Address | ||
| Ehsan Arshid: Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran Ahmad Reza Khorshidvand: Department of Mechanical Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran S. Mahdi Khorsandijou: Department of Mechatronics Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran | ||