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Free vibration analysis of functionally graded plates on two-parameter elastic supports and in contact with stationary fluid

[+] Author and Article Information
Arash Shahbaztabar

Department of Ocean Engineering, AmirKabir University of Technology, Hafez Ave., Tehran 15914, Iran
a.shahbaztabar@aut.ac.ir

Ahmad Rahbar Ranji

Department of Ocean Engineering, AmirKabir University of Technology, Hafez Ave., Tehran 15914, Iran
rahbar@aut.ac.ir

1Corresponding author.

ASME doi:10.1115/1.4038031 History: Received May 11, 2017; Revised September 06, 2017

Abstract

Free vibration analysis of functionally graded rectangular plates on two-parameter elastic foundation and vertically coupled with fluid is the objective of present work. The fluid domain is considered to be infinite in length but it is bounded in depth and width directions and the effects of hydrostatic pressure and free surface waves are not taken into account. The mechanical properties of the functionally graded plates are assumed to vary continuously through the thickness direction according to a power-law distribution of the volume fraction of the constituents. The accuracy and applicability of the formulation is illustrated by comparison studies with those reported in the open literature. At the end, parametric studies are carried out to examine the impact of different parameters on the natural frequencies.

Copyright (c) 2017 by ASME
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