TECHNICAL PAPERS
Sep 1, 1990

Hydrodynamic Pressure Analysis of Arch Dams with T‐Complete Functions

Publication: Journal of Engineering Mechanics
Volume 116, Issue 9

Abstract

The hydrodynamic pressure acting on the upstream face of arch dams is explored by a special boundary element method based on the use of a complete and nonsingular set of Trefftz functions. The arch dam, bounded by a limited, arbitrary irregular part and an unlimited regular part of the river valley, is considered to be in an arbitrary shape. Using this method, one can, with minimal effort, accurately model the compressibility of the water and the gravity waves on the water surface. Numerical examples are presented to illustrate the results obtained from this method. Comparisons with other numerical solutions are provided.

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References

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Brebbia, C. A., Telles, J. C. F., and Wrobel, L. C. (1980). Boundary element techniques. Springer‐Verlag, Berlin, Federal Republic of Germany.
2.
Chopra, A. K. (1967). “Hydrodynamic pressures on dams during earthquakes.” J. Engrg. Mech. Div., ASCE, 93(6), 205–223.
3.
Clough, R. W. (1982). “Reservoir interaction effects on the dynamic response of arch dams.” Proc. of U.S.‐P.R.C. Bilateral Workshop on Earthquake Engineering, 1, 58–84.
4.
Herrera, I. (1984). “Trefftz method.” Topics in boundary element research, C. A. Brebbia, ed., Springer‐Verlag, Berlin, Federal Republic of Germany, 1, 225–251.
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Porter, C. S., and Chopra, A. K. (1981). “Dynamic analysis of simple arch dams including hydrodynamic interaction.” Earthquake Engrg. Struct. Dyn., 9(6), 573–597.
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Quinlan, P. M. (1974). “The edge function method in elastostatics.” Studies in numerical analysis, B. K. P. Scaife, ed., Academic Press, Inc., New York, N.Y., 265–293.
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Sun, K., Lin, G., and Zhao, J. (1986). “Application of the boundary element method in coupling vibration of fluid‐structure system.” Boundary elements, Qinghua Du, ed., Pergamon Press, Ltd., Oxford, London, 491–498.
8.
Tsai, C. S. (1987). “An improved solution procedure to the fluid‐structure interaction problem as applied to the dam‐reservoir system,” thesis presented to the State University of New York, at Buffalo, N.Y., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 116Issue 9September 1990
Pages: 2054 - 2069

History

Published online: Sep 1, 1990
Published in print: Sep 1990

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Authors

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Kerning Sun
Post‐Doctoral Res., Dept. of Civ. Engrg., The Ohio State Univ., Columbus, OH 43210‐1275; formerly, Lect., Dalian Univ. of Tech., Dalian, People's Republic of China
Fabian C. Hadipriono, Member, ASCE
Assoc. Prof., Dept. of Civ. Engrg., The Ohio State Univ., Columbus, OH 43210‐1275

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