Seismic‐Generated Water Waves in Axisymmetric tanks
Publication: Journal of Engineering Mechanics
Volume 113, Issue 5
Abstract
An eigenfunction expansion is used to calculate a solution for wave movement in an axisymmetric tank of liquid that is accelerated horizontally by an earthquake. Fluid motion is assumed to be irrotational and incompressible, and tank boundaries are assumed to be rigid. A major portion of the solution is obtained from the numerical solution of an integral equation eigenvalue problem. A comparison between solutions calculated for a cylindrical tank and a conical tank, both filled with equal volumes of liquid, shows that solutions for free surface displacements and pressure forces are similar in magnitude and behavior, but that moments created by the fluid pressure differ considerably.
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References
1.
Acton, F. S., Numerical Methods that Work, Harper and Row, New York, N.Y., 1970, pp. 231–233.
2.
Aslam, M., Godden, W. G., and Scalise, D. T., “Earthquake Sloshing in Annular and Cylindrical Tanks,” Journal of the Engineering Mechanics Division, ASCE, Vol. 105, No. 3, Proc. Paper 14643, Jun., 1979, pp. 371–389.
3.
Balendra, T., Ang, K. K., Paramasivam, P., and Lee, S. L., “Seismic Design of Flexible Cylindrical Liquid Storage Tanks,” Earthquake Engineering and Structural Dynamics, Vol. 10, 1982, pp. 477–496.
4.
Baron, M. L., and Skalak, R., “Free Vibrations of Fluid‐Filled Cylindrical Shells,” Journal of the Engineering Mechanics Division, ASCE, Vol. 88, No. 3, Proc. Paper 3159, Jun., 1962, pp. 17–43.
5.
Ehrlich, L. W., Riley, J. D., Strang, W. G., and Troesch, B. A., “Finite‐Difference Techniques for a Boundary Problem with an Eigenvalue in a Boundary Condition,” Journal of Soc. Indust. Appl. Math., Vol. 9, 1961, pp. 149–164.
6.
Fischer, D., “Dynamic Fluid Effects in Liquid‐Filled Flexible Cylindrical Tanks,” Earthquake Engineering and Structural Dynamics, Vol. 7, 1979, pp. 587–601.
7.
Graham, E. W., and Rodriguez, A. M., “The Characteristics of Fuel Motion Which Affect Airplane Dynamics,” Journal of Applied Mechanics, Vol. 19, 1952, pp. 381–388.
8.
Haroun, M. A., and Housner, G. W., “Dynamic Characteristics of Liquid Storage Tanks,” Journal of the Engineering Mechanics Division, ASCE, Vol. 108, No. 5, Proc. Paper 17381, Oct., 1982, pp. 783–800.
9.
Haroun, M. A., and Housner, G. W., “Complications in Free Vibration Analysis of Tanks,” Journal of the Engineering Mechanics Division, ASCE, Vol. 108, No. 5, Proc. Paper 17382, Oct., 1982, pp. 801–818.
10.
Haroun, M. A., and Ellaithy, H. M., “Model for Flexible Tanks Undergoing Rocking,” Journal of Engineering Mechanics, ASCE, Vol. 111, No. 2, Proc. Paper 19479, Feb., 1985, pp. 143–157.
11.
Haroun, M. A., and Tayel, M. A., “Axisymmetrical Vibrations of Tanks—Numerical,” Journal of Engineering Mechanics, ASCE, Vol. 111, No. 2, Proc. Paper 19537, Mar., 1985, pp. 329–345.
12.
Haroun, M. A., and Tayel, M. A., “Axisymmetrical Vibrations of Tanks—Analytical,” Journal of Engineering Mechanics, ASCE, Vol. 111, No. 3, Proc. Paper 19538, Mar., 1985, pp. 346–358.
13.
Hildebrand, F. B., Methods of Applied Mathematics, Prentice‐Hall, Englewood Cliffs, N.J., 1965, pp. 88–92.
14.
Housner, G. W., “Dynamic Pressures on Accelerated Fluid Containers,” Bulletin of the Seismological Society of America, Vol. 47, 1957, pp. 15–35.
15.
Hunt, B., and Priestley, N., “Seismic Water Waves in a Storage Tank,” Bulletin of the Seismological Society of America, Vol. 68, 1978, pp. 487–499.
16.
Jacobsen, L. S., “Impulsive Hydrodynamics of Fluid Inside a Cylindrical Tank and of Fluid Surrounding a Cylindrical Pier,” Bulletin of the Seismological Society of America, Vol. 39, 1949, pp. 189–204.
17.
Kellogg, O. D., Foundations of Potential Theory, Dover Publications, New York, N.Y., 1953, pp. 12, 66–69.
18.
Silverman, S., and Abramson, H. N., “The Dynamic Behavior of Liquids in Moving Containers,” U.S. National Aeronautics and Space Administration, Ch. 2, SP‐106, 1966.
19.
Sternberg, W. J., and Smith, W. J., The Theory of Potential and Spherical Harmonics, Univ. of Toronto Press, Toronto, Canada, 1961, p. 69.
20.
Stoker, J. J., Water Waves, Sec. 2.1, Interscience Publishers, New York, N.Y., 1957.
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Copyright © 1987 ASCE.
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Published online: Jan 1, 1987
Published in print: Jan 1987
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