TECHNICAL PAPERS
Sep 1, 1984

Hydrodynamic Pressure on Short‐Length Gravity Dams

Publication: Journal of Engineering Mechanics
Volume 110, Issue 9

Abstract

Analytical expressions are derived for the hydrodynamic pressures generated in reservoirs behind short‐length gravity dams, and resulting from vibrational motions of the dam and ground motions. The dams have vertical upstream faces. The reservoirs are assumed to have rectangular cross‐sections, constant depths and to extend to infinity in the upstream direction. Water compressibility is taken into consideration, and solutions of the three‐dimensional wave equation are obtained under both flexible and rigid boundary assumptions. The formulas obtained are used to calculate the hydrodynamic pressure for a range of geometries, and the results are presented in a form that clearly shows its dependence on the various parameters of the problem. The effect of the length to height ratio of the dam, and the significance of the cross‐stream and vertical components of ground motion on the pressure response are investigated.

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References

1.
Chakrabarti, P., and Chopra, A. K., “Earthquake Response of Gravity Dams Including Reservoir Interaction Effects,” Report No. EERC 72‐6, Earthquake Engineering Research Center, University of California, Berkeley, Calif., Dec., 1972.
2.
Chopra, A. K., “Hydrodynamic Pressures on Dams During Earthquakes,” Journal of the Engineering Mechanics Division, ASCE, Vol. 93, No. EM6, Proc. Paper 5695, Dec., 1967, pp. 205–223.
3.
Hall, J. F., and Chopra, A. K., “Dynamic Response of Embankment, Concrete‐Gravity and Arch Dams Including Hydrodynamic Interaction,” Report No. EERC 80‐39, Earthquake Engineering Research Center, University of California, Berkeley, Calif., Oct., 1980.
4.
Mermel, T. W., Register of Dams in the United States, McGraw‐Hill Book Co., New York, N.Y., 1959.
5.
Rashed, A. A., “Dynamic Analyses of Fluid‐Structure Systems,” Report No. EERL 82‐03, Earthquake Engineering Research Laboratory, California Institute of Technology, Pasadena, Calif., July, 1982.
6.
Rea, D., Liaw, C. Y., and Chopra, A. K., “Dynamic Properties of Pine Flat Dam,” Report No. EERC 72‐7, Earthquake Engineering Research Center, University of California, Berkeley, Calif., Dec., 1972.
7.
Selby, A., and Severn, R. T., “An Experimental Assessment of the Added Mass of Plates Vibrating in Water,” International Journal of Earthquake Engineering and Structural Dynamics, Vol. 1, No. 2, Oct.–Dec., 1972, pp. 189–200.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 110Issue 9September 1984
Pages: 1264 - 1283

History

Published online: Sep 1, 1984
Published in print: Sep 1984

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Authors

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Ahmed A. Rashed, A. M. ASCE
Asst. Prof. of Civ. Engrg., The Johns Hopkins Univ., Baltimore, Md. 21218
Wilfred D. Iwan
Prof. of Civ. Engrg. and Applied Mechanics, California Inst. of Tech., Pasadena, Calif. 91125

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