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RESEARCH PAPERS

Sloshing in a Cylindrical Liquid Storage Tank With a 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 129(4), 557-566 (Jul 10, 2006) (10 pages) doi:10.1115/1.2767333 History: Received May 09, 2006; Revised July 10, 2006

An analytical solution is presented to predict the sloshing response of a cylindrical liquid storage tank with a floating roof under seismic excitation. The contained liquid is assumed to be inviscid, incompressible, and irrotational, while the floating roof is idealized as an isotropic elastic plate with uniform stiffness and mass. The dynamic interaction between the floating roof and the liquid is taken into account exactly within the framework of linear potential theory. By expanding the response of the floating roof into free-vibration modes in air and employing the Fourier–Bessel expansion method in cylindrical coordinates, the solution is obtained in an explicit form, which will be useful for parametric understanding of the sloshing behavior and preliminary study in the early design stage. Numerical results are also provided to investigate the effect of the stiffness and mass of the floating roof on the sloshing response.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 2

Natural periods (small tank model)

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Figure 3

Natural periods (large tank model)

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Time histories of response (DRL-S model)

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Figure 5

Time histories of response (DRL-L model)

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Fourier amplitude spectra of response (DRL-S model)

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Fourier amplitude spectra of response (DRL-L model)

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Figure 1

Tank geometry and coordinate system

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Figure 8

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

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Figure 9

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

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Figure 10

Time histories of response—rigid plate versus elastic plate—(DRL-S model)

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Figure 11

Time histories of response—rigid plate versus elastic plate—(DRL-L model)

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Figure 12

Maximum amplitudes of response along θ=0—rigid plate versus elastic plate—(DRL-S model)

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Figure 13

Maximum amplitudes of response along θ=0—rigid plate versus elastic plate—(DRL-L model)

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