Nonlinear Hydrodynamic Pressure on Rigid Dam Motion
Publication: Journal of Engineering Mechanics
Volume 113, Issue 4
Abstract
A finite‐difference analysis was employed to calculate nonlinear hydrodynamic pressures on vertical and inclined faces of dams. Two idealized ground accelerations and an actual earthquake excitation were used as the prescribed boundary condition. This dynamic condition and the free surface profile were cast in a dimensionless form of the basic equations, making the moving boundary problem simpler in computational analysis. The effect of water compressibility could be augmented by the nonlinear effect. Comparison of the results between inviscid and viscous analyses reflected not only the insignificant viscous effect but also the potential numerical noise associated with the viscous solution.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Brown, T. D., and Hung, T. K., “Computational and Experimental Investigations of Two‐Dimensional Nonlinear Peristaltic Flows,” Journal of Fluid Mechanics, Vol. 83, 1978, pp. 249–272.
2.
Cheng, W. S., and Hung, T. K., “A Computation of Pulsatile Flow in Rigid and Deformable Coiled Tubes,” Third International Conference on Mechanics in Medicine and Biology, France, 1982, pp. 193–194.
3.
Chopra, A. K., “Hydrodynamic Pressures on Dams during Earthquakes,” Journal of the Engineering Mechanics Division, ASCE, Vol. 93, 1967, pp. 205–223.
4.
Chopra, A. K., and Gupta, S., “Hydrodynamic and Foundation Interaction Effects in Earthquake Response of a Concrete Gravity Dam,” Journal of the Structural Division, ASCE, Vol. 107, 1981, pp. 1399–1412.
5.
Chopra, A. K., and Gupta, S., “Hydrodynamic and Foundation Interaction Effect in Frequency Response Functions for Concrete Gravity Dams,” Journal of Earth and Structural Dynamics, Vol. 10, 1982, pp. 89–106.
6.
Chwang, A. T., “Hydrodynamic Pressures on Sloping Dams during Earthquakes” (Part 2, Exact Theory), Journal of Fluid Mechanics, Vol. 87, 1978, pp. 343–348.
7.
Chwang, A. T., “Nonlinear Hydrodynamic Pressure on an Accelerating Plate,” Journal of Physics Fluids, Vol. 26, No. 2, 1983, pp. 383–387.
8.
Chwang, A. T., and Housner, G. W., “Hydrodynamic Presures on Sloping Dams during Earthquakes” (Part 1, Momentum Method), Journal of Fluid Mechanics, Vol. 87, 1978, pp. 335–341.
9.
Hanna, Y. G., and Humar, J. L., “Boundary Element Analysis of Fluid Domain,” Journal of the Engineering Mechanics Division, ASCE, Vol. 108, 1982, pp. 436–450.
10.
Harlow, F. H., and Welch, J. E., “Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface,” Journal of Physics Fluids, Vol. 8, 1965, pp. 2182–2189.
11.
Hung, T. K., “Spiral Flows in Finite Rotating Annular Tubes,” Journal of the Engineering Mechanics Division, ASCE, No. EM1, 1973, pp. 13–19.
12.
Hung, T. K., “Forcing Functions in Navier‐Stokes Equations,” Journal of the Engineering Mechanics Division, ASCE, Vol. 107, No. EM3, 1981, pp. 643–648.
13.
Lotfi, V., Roesset, J. M., and Tassoulas, J. L., “Water‐Dam Interaction during Earthquake,” Proceedings of the Fourth Engineering Mechanics Division Specialty Conference, ASCE, 1983, pp. 291–294.
14.
Macagno, E. O., and Hung, T. K., “Computational Experimental Study of a Captive Annular Eddy,” Journal of Fluid Mechanics, Vol. 28, 1967, pp. 43–64.
15.
Nath, B., “Hydrodynamic Pressure on Arch Dams—by a Mapping Finite Element Method,” Journal of Earth and Structural Dynamics, Vol. 9, 1981, pp. 117–131.
16.
Nath, B., “Natural Frequencies of Arch Dam Reservoir System—by a Mapping Finite Element Method,” Earthquake Engineering and Structural Dynamics, Vol. 10, 1982, pp. 719–734.
17.
Newmark, N. M., and Rosenblueth, E., Fundamentals of Earthquake Engineering, Prentice‐Hall, Inc., Englewood Cliffs, N.J., 1971.
18.
Porter, G. S., and Chopra, A. K., “Hydrodynamic Effects in Dynamic Response of Simple Arch Dams,” Journal of Earth and Structural Dynamics, Vol. 10, 1982, pp. 417–431.
19.
Rashed, A. A., and Iwan, W. D., “Hydrodynamic Pressure on Short‐Length Gravity Dams,” Journal of Engineering Mechanics, ASCE, Vol. 110, 1984, pp. 1264–1283.
20.
Saini, S. S., Bettess, P., and Zienkiewicz, O. C., “Coupled Hydrodynamic Response of Concrete Gravity Dams Using Finite and Infinite Elements,” Journal of Earth Engineering and Structural Dynamics, Vol. 6, 1978, pp. 363–374.
21.
Sanchez‐Sesma, F. J., and Rosenblueth, E., “Hydrodynamic Pressure in Semi‐Cylindrical Reservoir,” Journal of the Engineering Mechanics Division, Vol. 103, 1977, pp. 913–919.
22.
von Kármán, T., “Discussion of Water Pressures on Dams during Earthquakes,” Transactions, ASCE, Vol. 98, 1933, pp. 434–436.
23.
Wang, M. H., “Nonlinear Hydrodynamic Analysis on Dam during Earthquake,” Ph.D. thesis, University of Pittsburgh, Pittsburgh, Pa., 1985.
24.
Westergaard, H. M., “Water Pressures on Dams during Earthquakes,” Transactions, ASCE, Vol. 98, 1933, pp. 418–433.
25.
Wiegel, R. L., Earthquake Engineering, Prentice‐Hall, Inc., Englewood Cliffs, N.J., 1970.
26.
Wylie, E., “Seismic Response of Reservoir‐Dam Systems,” Journal of the Hydraulics Division, ASCE, Vol. 101, 1975, pp. 403–419.
27.
Zangar, C. N., “Hydrodynamic Pressures on Dams Due to Horizontal Earthquakes,” Proceedings of Society of Experimental Stress Analysis, Vol. 10, 1952, pp. 93–102.
28.
Zienkiewicz, O. C., and Nath, B., “Earthquake Hydrodynamic Pressures on Arch Dams—an Electric Analogue Solution,” Proceedings of the Institution of Civil Engineers, Vol. 25, 1963, pp. 165–176.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 113 • Issue 4 • April 1987
Pages: 482 - 499
Copyright
Copyright © 1987 ASCE.
History
Published online: Apr 1, 1987
Published in print: Apr 1987
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.