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Research Papers: Fluid-Structure Interaction

Sloshing in a Cylindrical Liquid Storage Tank With a Single-Deck Type Floating Roof Under Seismic Excitation

[+] Author and Article Information
Tetsuya Matsui

Department of Architecture, Meijo University, 1-501 Shiogamaguchi, Tenpaku-ku, Nagoya 468-8502, Japanmatsuite@ccmfs.meijo-u.ac.jp

J. Pressure Vessel Technol 131(2), 021303 (Jan 22, 2009) (10 pages) doi:10.1115/1.3062939 History: Received September 06, 2007; Revised February 15, 2008; Published January 22, 2009

An explicit analytical solution is derived for sloshing in a cylindrical liquid storage tank with a single-deck type floating roof under seismic excitation. The floating roof is composed of an inner deck, which may be idealized as an isotropic elastic plate with uniform thickness and mass, and connected to an outer pontoon, which can be modeled as an elastic curved beam. The contained liquid is assumed to be inviscid, incompressible, and irrotational. By expanding the response of the floating roof into free-vibration modes in air and applying the Fourier–Bessel expansion technique in cylindrical coordinates, the solution is obtained in an explicit form, which is exact within the framework of linear potential theory. Numerical results are presented to investigate the effect of the type (single-deck or double-deck) and stiffness of the floating roof on the sloshing response.

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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Tank geometry and coordinate system

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Figure 2

Displacement components of floating roof

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Figure 3

Natural periods (small tank model)

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Figure 4

Natural periods (large tank model)

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Figure 5

Time histories of response (S-25 model)

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Figure 6

Time histories of response (S-40 model)

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Figure 7

Fourier amplitude spectra of response (S-25 model)

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Figure 8

Fourier amplitude spectra of response (S-40 model)

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Figure 9

Maximum amplitudes of response along θ=0 (small tank model)

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Figure 10

Maximum amplitudes of response along θ=0 (large tank model)

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Figure 11

Stress resultants, stress couples, and external forces on pontoon

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