Effect of Wall Flexibility on Dynamic Response of Concrete Rectangular Liquid Storage Tanks under Horizontal and Vertical Ground Motions

In this study, the finite-element method is used to investigate the seismic behavior of rectangular liquid tanks in two-dimensional space. This method is capable of considering both impulsive and convective responses of liquid-tank system. Two different finite-element models corresponding with shallow and tall tank configurations are studied under the effects of both horizontal and vertical ground motions using the scaled earthquake components of the 1940 El-Centro earthquake record. The containers are assumed fixed to the rigid ground. Fluid-structure interaction effects on the dynamic response of fluid containers are taken into account incorporating wall flexibility. The results show that the wall flexibility and fluid damping properties have a major effect on seismic behavior of liquid tanks and should be considered in design criteria of tanks. The effect of vertical acceleration on the dynamic response of the liquid tanks is found to be less significant when horizontal and vertical ground motions are considered together. The results in this study are verified and compared with those obtained by numerical methods and other available methods in the literature.

[1]  Spyros A. Karamanos,et al.  Variational solutions for externally induced sloshing in horizontal-cylindrical and spherical vessels , 2007 .

[2]  Medhat A. Haroun,et al.  Parametric Study of Seismic Soil‐Tank Interaction. II: Vertical Excitation , 1992 .

[3]  Medhat A. Haroun Vibration studies and tests of liquid storage tanks , 1983 .

[4]  Jong Yih Yang,et al.  Dynamic behavior of fluid-tank systems , 1976 .

[5]  Hyun Moo Koh,et al.  Fluid–structure interaction analysis of 3‐D rectangular tanks by a variationally coupled BEM–FEM and comparison with test results , 1998 .

[6]  S. K. Bhattacharyya,et al.  Finite element analysis of fluid-structure interaction effect on liquid retaining structures due to sloshing , 1996 .

[7]  Medhat A. Haroun,et al.  Seismically Induced Fluid Forces on Elevated Tanks , 1985 .

[8]  G. Housner The dynamic behavior of water tanks , 1963 .

[9]  Yusuf Ayvaz,et al.  Earthquake analysis of flexible rectangular tanks by using the Lagrangian fluid finite element , 1997 .

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

[11]  M. R. Kianoush,et al.  Effect of vertical acceleration on response of concrete rectangular liquid storage tanks , 2006 .

[12]  Yu Tang,et al.  Dynamic Response of Flexibly Supported Liquid‐Storage Tanks , 1992 .

[13]  Medhat A. Haroun,et al.  Parametric Study of Seismic Soil‐Tank Interaction. I: Horizontal Excitation , 1992 .

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

[15]  Luis A. Godoy,et al.  Linear and nonlinear 2D finite element analysis of sloshing modes and pressures in rectangular tanks subject to horizontal harmonic motions , 2008 .

[16]  Chikahiro Minowa DYNAMIC ANALYSES FOR RECTANGULAR WATER TANKS , 1979 .

[17]  Mohsen Ghaemian,et al.  Dynamic analysis of rectangular liquid containers in three-dimensional space , 2006 .

[18]  Durgesh C. Rai Seismic Retrofitting of R/C Shaft Support of Elevated Tanks , 2002 .

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

[20]  Andrew S. Whittaker,et al.  Seismic Performance of Industrial Facilities Affected by the 1999 Turkey Earthquake , 2006 .

[21]  H. Koh,et al.  Fluid-Structure Interaction Analysis by a Coupled Boundary Element-Finite Element Method in Time Domain , 1992 .

[22]  Spyros A. Karamanos,et al.  Sloshing effects on the seismic design of horizontal-cylindrical and spherical industrial vessels , 2006 .

[23]  Hasan Mirzabozorg Staggered solution scheme for three-dimensional analysis of dam reservoir interaction , 2003 .

[24]  Medhat A. Haroun,et al.  Earthquake Response of Deformable Liquid Storage Tanks , 1981 .

[25]  M. R. Kianoush,et al.  Seismic response of concrete rectangular tanks for liquid containing structures , 2005 .

[26]  Medhat. A. Haroun,et al.  Stress analysis of rectangular walls under seismically induced hydrodynamic loads , 1984 .

[27]  Yu Tang,et al.  Dynamics of Vertically Excited Liquid Storage Tanks , 1986 .

[28]  R. Livaoglu,et al.  Investigation of seismic behavior of fluid–rectangular tank–soil/foundation systems in frequency domain , 2008 .

[29]  H. Koh,et al.  Dynamic Response of Rectangular Flexible Fluid Containers , 1996 .

[30]  Medhat A. Haroun,et al.  Response of tanks to vertical seismic excitations , 1985 .