TECHNICAL PAPERS
Jun 1, 1986

Dynamics of Vertically Excited Liquid Storage Tanks

Publication: Journal of Structural Engineering
Volume 112, Issue 6

Abstract

A simple practical procedure is presented for evaluating the dynamic response of an upright circular cylindrical liquid storage tank to a vertical component of ground shaking, considering the flexibility of the supporting medium. The tank is presumed to be supported through a rigid circular mat at the surface of a homogeneous elastic half‐space, and it is analyzed approximately by application of Galerkin's method considering the tank‐liquid system to respond as a single‐degree‐of‐freedom system in its fixed‐base condition. Comprehensive numerical data are included that elucidate the actions of both rigidly and flexibly supported tanks, and the effects of the numerous parameters that influence the response. It is shown that soil‐structure interaction reduces the hydrodynamic effects and that the consequences of such interaction may be approximated with good accuracy by a change in the natural frequency of the tank‐liquid system and by an increase in damping. The maximum hydrodynamic effects are related simply to the corresponding hydrostatic effects.

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References

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Bleich, H. H., “Longitudinal Forced Vibrations of Cylindrical Fuel Tanks,” Jet Propulsion, Vol. 26, Feb., 1956, pp. 109–111.
2.
Chen, G., “Why the ‘Elephant's Foot’ Phenomenon of Liquid Storage Tank Happened,” Proceedings, 8th World Conference on Earthquake Engineering, Vol. VII, San Francisco, Calif., 1984, pp. 445–452.
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Flügge, W., Stresses in Shells, Springer‐Verlag, Berlin, 1960, p. 273.
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Haroun, M. A., and Tayel, M. A., “Axisymmetrical Vibrations of Tanks—Numerical and Analytical,” Journal of Engineering Mechanics, ASCE, Vol. 111, No. 3, Mar., 1985, pp. 329–358.
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Jennings, P. C., and Bielak, J., “Dynamics of Building‐Soil Interaction,” Bulletin, Seismological Society of America, Vol. 63, No. 1, 1973, pp. 9–48.
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Kumar, A., “Studies of Dynamic and Static Response of Cylindrical Liquid‐Storage Tanks,” thesis presented to Rice University, at Houston, Texas, in 1981, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
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Marchaj, T. J., “Importance of Vertical Acceleration in the Design of Liquid Containing Tanks,” Proceedings, 2nd U.S. National Conference on Earthquake Engineering, Stanford, Calif., Aug. 22–24, 1979, pp. 146–155.
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Veletsos, A. S., “Dynamics of Structure‐Foundation Systems,” Structural and Geotechnical Mechanics, a volume honoring N. M. Newmark, W. J. Hall, Ed., Prentice‐Hall, Inc., Englewood Cliffs, N.J., 1977, pp. 333–361.
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Veletsos, A. S., “Seismic Response and Design of Liquid Storage Tanks,” Guidelines for the Seismic Design of Oil and Gas Pipeline Systems, Chapter 7, ASCE Technical Council on Lifeline Earthquake Engineering, ASCE, New York, N.Y., 1984, pp. 255–370 and 443–461.
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Veletsos, A. S., and Kumar, A., “Dynamic Response of Vertically Excited Liquid Storage Tanks,” Proceedings, 8th World Conference on Earthquake Engineering, Vol. VII, San Francisco, Calif., 1984, pp. 453–460.
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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 112Issue 6June 1986
Pages: 1228 - 1246

History

Published online: Jun 1, 1986
Published in print: Jun 1986

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Authors

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Anestis S. Veletsos, M. ASCE
Brown and Root Prof., Dept. of Civ. Engrg., Rice Univ., Houston, TX 77251
Yu Tang
Grad. Student, Dept. of Civ. Engrg., Rice Univ., Houston, TX 77251

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