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Research Papers: Offshore Technology

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 Avenue,
Tehran 15914, Iran
e-mail: a.shahbaztabar@aut.ac.ir

Ahmad Rahbar Ranji

Department of Ocean Engineering,
AmirKabir University of Technology,
Hafez Avenue,
Tehran 15914, Iran
e-mail: rahbar@aut.ac.ir

1Corresponding author.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received May 11, 2017; final manuscript received September 6, 2017; published online October 20, 2017. Assoc. Editor: Ron Riggs.

J. Offshore Mech. Arct. Eng 140(2), 021302 (Oct 20, 2017) Paper No: OMAE-17-1075; doi: 10.1115/1.4038031 History: Received May 11, 2017; Revised September 06, 2017

Free vibration analysis of functionally graded (FG) rectangular plates on two-parameter elastic foundation and vertically coupled with fluid is the objective of this 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 FG 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.

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References

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Figures

Grahic Jump Location
Fig. 1

Geometry and coordinates of FG rectangular plate on Pasternak foundation and in contact with fluid

Grahic Jump Location
Fig. 2

Variation of fundamental wet natural frequency parameters versus fluid depth ratio for a FG plate with SSSS boundary condition (λ=1, α=1)

Grahic Jump Location
Fig. 3

Variation of fundamental wet natural frequency parameters versus aspect ratio for a FG plate with various boundary conditions resting on Pasternak foundation: (a) δ=0.1, α=1, Kw=100, Kp=10, H¯=0 and (b) δ=0.1, α=1, Kw=100, Kp=10, H¯=0.6

Grahic Jump Location
Fig. 4

Variation of fundamental wet natural frequency parameters versus aspect ratio for a FG plate with SCSF boundary conditions resting on Pasternak foundation: (a) δ=0.1, λ=1,Kw=100, H¯=0.5 and (b) δ=0.1, λ=1, Kp=100, H¯=0.5

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