Evaluating 3D Earthquake Effects on Sloshing Wave Height of Liquid Storage Tanks Using Finite Element Method

The objective of this article is to study the effect of various components of earthquake on sloshing response of liquid storage tanks. First, commonly used theory for unidirectional analysis of liquid behavior in cylindrical tanks was reviewed. Second, the Finite Element Modeling (FEM) strategy which was used to simulate dynamic response of the liquid tank system was described. The FEM was validated using a set of experimental measurements reported by previous researchers. Third, a parametric study for some vertical, cylindrical tanks with different aspect ratios excited by various time series of earthquake accelerations was performed. Each tank was subjected to unidirectional and bidirectional excitations of earthquake accelerations. Fourth, provision suggested by some seismic codes for the estimation of Maximum Sloshing Wave Height (MSWH) were reviewed and the accuracy of the codes prediction was numerically investigated. Finally, the available simplified formulation for evaluating MSWH under unidirectional excitation was extended for bidirectional excitation.

[1]  R. Eatock Taylor,et al.  Numerical simulation of sloshing waves in a 3D tank , 1998 .

[2]  Praveen K. Malhotra.  Sloshing Loads in Liquid-Storage Tanks with Insufficient Freeboard , 2005 .

[3]  Yonghwan Kim,et al.  Numerical study on slosh-induced impact pressures on three-dimensional prismatic tanks , 2004 .

[4]  Feng Liu,et al.  LARGE AMPLITUDE LIQUID SLOSHING IN SEISMICALLY EXCITED TANKS , 1996 .

[5]  M. Guillot.  Application of a Discontinuous Galerkin Finite Element Method to Liquid Sloshing , 2006 .

[6]  A. Colagrossi,et al.  Numerical simulation of interfacial flows by smoothed particle hydrodynamics , 2003 .

[7]  Young Ho Kim,et al.  Numerical simulation of sloshing flows with impact load , 2001 .

[8]  A. Veletsos,et al.  Earthquake Response of Liquid Storage Tanks , 1977 .

[9]  Medhat A. Haroun,et al.  Seismic Design of Liquid Storage Tanks , 1981 .

[10]  Praveen K. Malhotra.  Earthquake Induced Sloshing in Tanks with Insufficient Freeboard , 2006 .

[11]  Yoshiyuki Inoue,et al.  3D Numerical Simulation of Impact Load due to Liquid Cargo Sloshing , 1992 .

[12]  Praveen K. Malhotra,et al.  Simple Procedure for Seismic Analysis of Liquid-Storage Tanks , 2000 .

[13]  Joon-Hyung Cho,et al.  Non‐linear finite element analysis of large amplitude sloshing flow in two‐dimensional tank , 2004 .

[14]  A. Souto Iglesias,et al.  Simulation of anti-roll tanks and sloshing type problems with smoothed particle hydrodynamics , 2004 .

[15]  Seizo Tanaka,et al.  PC cluster parallel finite element analysis of sloshing problem by earthquake using different network environments , 2002 .

[16]  김사수.  Sloshing 현상과 제어 , 1994 .

[17]  Edward Cohen,et al.  Minimum Design Loads for Buildings and Other Structures , 1990 .

[18]  George W. Housner.  Earthquake pressures on fluid containers , 1954 .

[19]  G. Oger,et al.  Two-dimensional SPH simulations of wedge water entries , 2006, J. Comput. Phys..

[20]  G. Housner.  Dynamic pressures on accelerated fluid containers , 1957 .

[21]  Odd M. Faltinsen,et al.  A numerical nonlinear method of sloshing in tanks with two-dimensional flow , 1978 .

[22]  K Taylor,et al.  SLOSHING IN PARTIALLY FILLED LIQUID TANKS AND ITS EFFECT ON SHIP MOTIONS: NUMERICAL SIMULATIONS AND EXPERIMENTAL VERIFICATION , 1984 .