TECHNICAL PAPERS
May 1, 2005

Equivalent Models of Pure Conical Tanks under Vertical Ground Excitation

Publication: Journal of Structural Engineering
Volume 131, Issue 5

Abstract

Elevated water tanks are commonly built with superstructure vessels that have a truncated conical shape. As a result of the inclination of the vessel’s walls, the axisymmetric hydrodynamic pressure that is associated with vertical ground accelerations develops hoop and axial meridional stresses. The purpose of the current study is to establish a simple procedure that can be used to estimate the seismic forces acting on a conical tank subjected to vertical ground accelerations. The study is conducted using a numerical model that is based on a coupled finite-boundary element formulation previously developed for the analysis of this fluid-structure interaction problem. First, the numerical model is used to develop charts that can be used to identify the fundamental frequency of the axisymmetric vibrations of conical tanks. Then, an equivalent mechanical model in which the fluid mass is simulated as rigid and flexible mass components is developed. The parameters of the mechanical model are presented in chart form. An example that estimates the forces acting on a conical tank subjected to the vertical component of real prerecorded earthquake motion is presented to illustrate the procedure.

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References

El Damatty, A. A., Korol, R. M., and Mirza, F. A. (1997a). “Stability of elevated liquid-filled conical tanks under seismic loading. I: Theory.” Earthquake Eng. Struct. Dyn., 26, 1191–1208.
El Damatty, A. A., Korol, R. M., and Mirza, F. A. (1997b). “Stability of elevated liquid-filled conical tanks under seismic loading. II: Applications.” Earthquake Eng. Struct. Dyn., 26, 1209–1229.
El Damatty, A. A., Korol, R. M., and Mirza, F. A. (1997c). “Stability of imperfect steel conical tanks under hydrostatic loading.” J. Struct. Eng., 123(6), 703–712.
Haroun, M. A., and Tayel, M. A. (1985a). “Axisymmetrical vibrations of tanks—Numerical.” J. Eng. Mech., 111(3), 329–345.
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Sweedan, A. M. I. (2003). “Seismic design and behaviour of elevated conical tanks.” PhD thesis, Univ. of Western Ontario, London, Ontario, Canada.
Sweedan, A. M. I., and El Damatty, A. A. (2003). “Experimental identification of the vibration modes of liquid-filled conical tanks and validation of a numerical model.” Earthquake Eng. Struct. Dyn.,32(9), 1407-1430.
Vandepitte, D., Rathe, J., Verhegghe, B., Paridaens, R., and Verschaeve, C. (1982). “Experimental investigation of hydrostatically loaded conical shells and practical evaluation of the buckling load.” Proc., State-of-the-Art Colloquium, Univ. Stuttgart, Germany, 375–399.
Veletsos, A. S., and Kumar, A. (1984). “Dynamic response of vertically excited liquid storage tanks.” Proc., 8th World Conf. on Earthquake Engineering, Vol. VII, 453–459.
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Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 131Issue 5May 2005
Pages: 725 - 733

History

Received: Jul 31, 2002
Accepted: Oct 20, 2004
Published online: May 1, 2005
Published in print: May 2005

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Notes

Note. Associate Editor: Andrei M. Reinhorn

Authors

Affiliations

A. M. Sweedan, A.M.ASCE
Senior Technical Coordinator, Rowan Williams Davis and Irwin Inc. (RWDI), Guelph, ON, Canada N1K 1B8.
A A. El Damatty
Associate Professor, Dept. of Civil and Environmental Engineering, Univ. of Western Ontario, London, ON, Canada N6A 5B9 (corresponding author). E-mail: [email protected]

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