Research Papers

Stochastic Earthquake Analysis of Underwater Storage Tanks

[+] Author and Article Information
H. Karadeniz

Department of Civil Engineering, Delft University of Technology, Delft 2628 CN, The Netherlands

J. Offshore Mech. Arct. Eng 130(3), 031010 (Jul 18, 2008) (8 pages) doi:10.1115/1.2904946 History: Received March 20, 2007; Revised August 14, 2007; Published July 18, 2008

In this paper, the problem and analysis method of underwater storage tanks resting on a horizontal seabed is presented under stochastic earthquake loading. The tank is axisymmetrical and has a flexible wall/roof. The finite element method is used for the response solution. A solid axisymmetrical finite element has been formulated to idealize the tank whereas an axisymmetrical fluid element is used for the idealization of the fluid domain. The Eulerian formulation of the fluid system is used to calculate the interactive water pressure acting on the tank during the free motion of the tank and earthquake motion. For the response calculation, the modal analysis technique is used with a special algorithm to obtain natural frequencies of the water-structure coupled system. For the stochastic description of the earthquake loading, the modified Kanai–Tajimi earthquake spectrum is used. Finally, the analysis method presented in the paper is demonstrated by an example.

Copyright © 2008 by American Society of Mechanical Engineers
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Figure 2

An axisymmetric solid element and coordinate systems

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Figure 1

Generators of an axisymmetric object and an element

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Figure 3

Fluid-structure interface boundary

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Figure 4

Horizontal displacement of an axisymmetric structure under ground motion

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Figure 5

KT Earthquake spectrum for different ωf

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Figure 6

An example underwater storage tank subjected to earthquake

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Figure 7

The finite element mesh of the tank-fluid system

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Figure 8

(a) Meridional mode shapes of the sample tank for the circumferential mode, m=1 (b) meridional mode shape of the tank for m=1

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Figure 9

Hyrodynamic pressures on the tank due to eigenmodes

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Figure 10

Hydrodynamic pressure distributions at the sea bottom

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Figure 11

KT earthquake spectrum (spectrum of ground acceleration)

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Figure 12

Modulus of transfer functions of relative displacements at the top of the tank

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Figure 13

Spectrum of relative displacements at the top of the tank



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