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Structural Engineering and Mechanics Volume 50, Number 1, April10 2014 , pages 053-071 DOI: https://doi.org/10.12989/sem.2014.50.1.053 |
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Dynamic behavior of a functionally graded plate resting on Winkler elastic foundation and in contact with fluid |
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Ali A. Shafiee, Farhang Daneshmand, Ehsan Askari and Mojtaba Mahzoon
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| Abstract | ||
| A semi-analytical method is developed to consider free vibrations of a functionally graded elastic plate resting on Winkler elastic foundation and in contact with a quiescent fluid. Material properties are assumed to be graded distribution along the thickness direction according to a power-law in terms of the volume fractions of the constituents. The fluid is considered to be incompressible and inviscid. In the analysis, the effect of an in-plane force in the plate due to the weight of the fluid is taken into account. By satisfying the compatibility conditions along the interface of fluid and plate, the fluid-structure interaction is taken into account and natural frequencies and mode shapes of the coupled system are acquired by employing energy methods. The results obtained from the present approach are verified by those from a finite element analysis. Besides, the effects of volume fractions of functionally graded materials, Winkler foundation stiffness and in-plane forces on the dynamic of plate are elucidated. | ||
| Key Words | ||
| dynamic behavior; fluid-structure interaction; functionally graded material; Winkler elastic foundation; in-plane forces | ||
| Address | ||
| Ali A. Shafiee, Mojtaba Mahzoon : Faculty of Mechanical Engineering, Shiraz University, Shiraz 71348-51154, Iran Farhang Daneshmand : Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street W., Montreal, Quebec H3A 2K6, Canada Ehsan Askari : Australian School of Advanced Medicine, Macquarie University, Sydney, Australia | ||