Effect of Earthquake Frequency Content on 3D Sloshing in Rectangular Tanks

Document Type : Structural Earthquake Engineering

Authors

Shahid Beheshti University

Abstract

Earthquake frequency content has a significant effect on sloshing wave amplitude and height in liquid storage tanks. In this paper, the finite element method had been used to obtain the three dimensional fluid-structure interaction responsen of the rectangular tanks to access the sloshing interference effects at the tank corners under various seismic input motions with different frequency contents. The flexibility of the tank wall as well as the structural and fluid damping have been taken into account to obtain more reliable and realistic results. It has also been shown that the 3D sloshing interference may increase the total wave height significantly at the corners of the tanks compared to the values presented in the design codes, which shows the maximum sloshing wave with much lower values and at a different location. It has been finally shown that the 3D sloshing effects relates to the ratio of the width and the length of the tank.

Keywords


Haroun, M.A. (1983) Vibration studies and tests of liquid storage tanks. Earthquake Engineering and Structural Dynamics, 11, 179-206.
Hoskins, L.M. and Jacobsen, L.S. (1934) Water pressure in a tank caused by a simulated earthquake. Bulletin of the Seismological Society of America , 24, 1-32.
Graham, E.W. and Rodriquez, A.M. (1951) The Characteristics of Fuel Motion which Affect Airplane Dynamics. Douglas Aircraft Co. Inc. Santa Monica.
Housner, G.W. (1963) The dynamic behavior of water tanks. Bulletin of Seismological Society of America , 53, 381-387.
Housner, G.W. (1957) Dynamic pressures on accelerated fluid containers. Bulletin of the Seismological Society of America , 47, 15-35.
ACI 350.3-06 (2006) Seismic Design of Liquid-Containing Concrete Structures and Commentary. American Concrete Institude (ACI) Committee 350.
Epstein, H.I. (1976) Seismic design of liquid storage tanks. Journal of the Structur a l Division, 102, 1659-1673.
Haroun, M.A. (1984) Stress analysis of rectangular walls under seismicity induced hydrodynamic loads. Bulletin of the Seismological Society of America , 74, 1031-1041.
Kim, J.K., Koh, H.M., and Kwahk, I.J. (1996) Dynamic response of rectangular flexible fluid containers. Journal of Engineering Mechanics, 122, 807-817.
Dogangün, A., Durmus, A., and Ayvaz, Y. (1997) Earthquake analysis of flexible rectangular tanks by using the Lagrangian fluid finite element. European Journal of Mechanics, 16, 165-182.
Koh, H.M., Kim, J.K., and Park, J.H. (1998) Fluid-structure interaction analysis of 3-D rectangular tanks by a variationally coupled BEM-FEM and comparison with test results. Earthquake Engineer ing and Structur a l
Dynamics, 27, 109-124.
Chen, J.Z. and Kianoush, M.R. (2005) Seismic response of concrete rectangular tanks for liquid containing structures. Journal of Civil Engineering, 32, 739-752.
Kianoush, M.R. and Chen, J.Z. (2006) Effect of vertical acceleration on response of concrete rectangular liquid storage tanks. Engineering Structures, 28, 704-715.
Kianoush, M.R., Mirzabozorg, H., and Ghaemian, M. (2006) Dynamic analysis of rectangular liquid containers in three-dimensional space. Journal of Civil Engineering, 33, 501-507.
Livaoglu, R. (2008) Investigation of seismic behavior of fluid-rectangular tank-soil/foundation systems in frequency domain. Soil Dynamics and Earthquake Engineering, 28, 132-146.
Hosseini, M. and Abizadeh, S. (2013) Behavior of reinforced concrete rectangular above ground tanks subjected to near-source seismic excitations. American Environmentalism: Philosophy, History, and Public Policy, 449-
Hosseini, M., Vosoughifar, H., and Farshadmanesh, P. (2013) Simplified dynamic analysis of sloshing in rectangular tanks with multiple vertical baffles. Journal of Water Sciences Research, 5, 19-30.
Ghaemmaghami, A.R. and Kianoush, M.R. (2010) Effect of wall flexibility on dynamic response of concrete rectangular liquid storage tanks under horizontal and vertical ground motions. Journal of Structural Engineering,
, 441-451.
Federal Emergency Management Agency (2009) Quantification of Building Seismic Performance Factor s . Report no. FEMA P695, FEMA, Washington, DC.
Hashemi, S., Saadatpour, M.M., and Kianoush, M.R. (2013) Dynamic behavior of flexible rectangular fluid containers. Thin Walled Structures, 66, 23-38.