Boundary Solutions for Fluid‐Structure Interaction
Publication: Journal of Hydraulic Engineering
Volume 110, Issue 1
Abstract
The boundary integral equation method is formulated to calculate hydrodynamic pressures in a reservoir Impounded by a dam and subject to horizontal ground vibrations. The dam is assumed to be either a rigid body or a thin elastic structure. The radiation condition for infinite reservoir is treated using a hybrid method. Good agreement between present numerical results and analytical solutions is observed for the cases where water depth is a constant. Numerical results are also obtained for nonuniform water depth cases.
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References
1.
Abramowitz, M., and Stegun, I. A., “Handbook of Mathematical Functions,” Dover Publications, Inc., New York, N.Y., 1974.
2.
Bird, H. W. K., and Shepard, R., “Wave Interaction with Large Submerged Structures,” Journal of the Waterway, Port, Coastal and Ocean Division, ASCE, Vol. 108, No. WW2, May, 1982, pp. 146–162.
3.
Chopra, A. K., “Hydrodynamic Pressures in Dams during Earthquake,” Journal of the Engineering Mechanics Division, ASCE, Vol. 93, No. EM6, June, 1967, pp. 205–223.
4.
Hall, J. F., and Chopra, A. K., “Hydrodynamic Effects in the Dynamic Response of Concrete Gravity Dams,” Earthquake Engineering and Structural Dynamics, Vol. 10, No. 2, Mar., 1982, pp. 333–345.
5.
Hanna, Y. G., and Humar, J. L., “Boundary Element Analysis of Fluid Domain,” Journal of the Engineering Mechanics Division, ASCE, Vol. 108, No. EM2, Apr., 1982, pp. 436–449.
6.
Liu, P. L.‐F., and Liggett, J. A., “Applications of Boundary Element Methods to Problems of Water Waves,” Developments in Boundary Element Methods—2, P. K. Banerjee and R. P. Shaw, eds., Applied Science Publishers Ltd., London, England, 1982, pp. 37–67.
7.
Mei, C. C., Foda, M. A., and Tong, P., “Exact and Hybrid‐Element Solutions for the Vibration of a Thin Elastic Structure Seated on the Sea Floor,” Applied Ocean Resources, Vol. 1, No. 2, Jan., 1979, pp. 79–88.
8.
Morse, P., and Feshbach, H., “Methods of Theoretical Physics,” McGraw‐Hill, New York, N.Y., 1953.
9.
Shaw, R. P., “Boundary Integral Equation Methods Applied to Wave Problems,” Developments in Boundary Element Methods—1, P. K. Banerjee and R. Butterfield, eds., Applied Science Publishers Ltd., London, England, 1979, pp. 121–153.
10.
Westergaard, H. M., “Water Pressure on Dams during Earthquakes,” Transactions, ASCE, Vol. 98, 1933, pp. 418–433.
11.
Zienkiewicz, O. C., and Newton, R. E., “Coupled Vibrations of a Structure Submerged in a Compressible Fluid,” International Symposium on Finite Element Techniques, Stuttgart, Germany, 1969.
12.
Zienkiewicz, O. C., and Bettess, P., “Fluid‐Structure Dynamic Interaction and Wave Forces. An Introduction to Numerical Treatment,” International Journal of Numerical Methods in Engineering, Vol. 13, No. 1, Jan., 1978, pp. 1–16.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 110 • Issue 1 • January 1984
Pages: 51 - 64
Copyright
Copyright © 1984 ASCE.
History
Published online: Jan 1, 1984
Published in print: Jan 1984
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