TECHNICAL PAPERS
Sep 1, 1991

Time‐Domain Analyses of Dam‐Reservoir System. II: Substructure Method

Publication: Journal of Engineering Mechanics
Volume 117, Issue 9

Abstract

Nonlinear analyses of (flexible) dam‐ (infinite) reservoir interactions require time‐domain formulations. In this paper, an exact consideration of radiation condition in the far field of the infinite reservoir and a time‐domain substructure method are presented. The proposed method can explicitly express the physical phenomena of the dam‐reservoir system. Results obtained compared very well with available exact solutions for simple geometries. Additional results with arbitrary geometrical shapes are also presented to illustrate the applicability of the method.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Antes, H., and Von Estorff, O. (1987). “Analysis of absorption effects on the dynamic response of dam reservoir systems by boundary element methods.” Earthquake Engrg. and Struct. Dynamics, 15(8), 1023–1036.
2.
Dowling, M. J., and Hall, J. F. (1989). “Nonlinear seismic analysis of arch dams.” J. Engrg. Mech., ASCE, 115(4), 768–789.
3.
El‐Aidi, B., and Hall, J. F. (1989a). “Non‐linear earthquake response of concrete gravity dams Part 1: modelling.” Earthquake Engrg. and Struct. Dynamics, 18(6), 837–851.
4.
El‐Aidi, B., and Hall, J. F. (1989b). “Non‐linear earthquake response of concrete gravity dams Part 2: behavior.” Earthquake Engrg. and Struct. Dynamics, 18(6), 853–865.
5.
Fenves, G., and Chopra, A. K. (1985). “Earthquake analysis of concrete gravity dam including reservoir bottom absorption and dam‐water‐foundation rock interaction.” Earthquake Engrg. and Struct. Dynamics, 13(1), 13–31.
6.
Fenves, G., and Vargas‐Loli, L. M. (1988). “Nonlinear dynamic analysis of fluidstructure systems.” J. Engrg. Mech., ASCE, 114(2), 219–240.
7.
Fenves, G. L., Mojtahedi, S., and Reimer, R. B. (1989). “ADAP‐88: A computer program for nonlinear earthquake analysis of concrete arch dams.” Report No. UCB/EERC‐89/12, Earthquake Engrg. Res. Ctr., Coll. of Engrg., Univ. of California at Berkeley, Calif.
8.
Fok, K.‐L., and Chopra, A. K. (1986). “Earthquake analysis of arch dams including dam‐water interaction, reservoir boundary absorption and foundation flexibility.” Earthquake Engrg. and Struct. Dynamics, 14(2), 155–184.
9.
Hall, J. F., and Chopra, A. K. (1980). “Dynamic response of embankment, concrete gravity and arch dams including hydrodynamic interaction.” Report No. EERC. 80‐39, Earthquake Engrg. Res. Ctr., Univ. of California at Berkeley, Calif.
10.
Hall, J. F., and Chopra, A. K. (1982). “Two‐dimensional dynamic analysis of concrete gravity and embankment dams including hydrodynamic effects.” Earthquake Engrg. Struct. Dynamics, 10(2), 305–332.
11.
Hall, J. F., and Chopra, A. K. (1983). “Dynamic analysis of arch dams including hydrodynamic effects.” J. Engrg. Mech., ASCE, 109(1), 149–167.
12.
Hung, T.‐K., and Chen, B.‐F. (1990). “Nonlinear hydrodynamic pressure on dams.” J. Engrg. Mech., ASCE, 116(6), 1372–1391.
13.
Hung, T.‐K., and Wang, M. H. (1987). “Nonlinear hydrodynamic pressure on rigid dam motion.” J. Engrg. Mech., ASCE, 113(4), 482–499.
14.
Lee, G. C., and Tsai, C. S. (1991). “Time‐domain analyses of dam‐reservoir system. I: Exact solution.” J. Engrg. Mech., ASCE, 117(9), 1990–2006.
15.
Liu, P. L.‐F., and Cheng, A. H.‐D. (1984). “Boundary solutions for fluid structure interaction.” J. Hydr. Engrg., ASCE, 110(1), 51–64.
16.
Liu, P. L.‐F., and Liggett, J. A. (1984). “Boundary element formulations and solutions for some non‐linear water wave problems.” Developments in boundary element methods‐3, P. K. Banerjee and S. Mukherjee, eds., Elsevier Appl. Sci. Publishers, New York, N.Y.
17.
Mei, C. C., Foda, M. A., and Tong, P. (1979). “Exact and hybrid‐element solutions for the vibration of a thin elastic structure seated on the sea floor.” Appl. Ocean Res., 1(2), 79–88.
18.
Newmark, N. M. (1959). “A method of computation for structural dynamic.” J. of Engrg. Mech., ASCE, 85(3), 67–94.
19.
O'Connor, J. P. F., and Boot, J. C. (1988). “A solution procedure for the earthquake analysis of arch dam‐reservoir systems with compressible water.” Earthquake Engrg. and Struct. Dynamics, 16(5), 757–773.
20.
Shiojiri, H., and Taguti, T. (1988). “Nonlinear dynamic analysis of structures including hydrodynamic and foundation interaction effects.” Proc. of Ninth World Conference on Earthquake Engrg., VI, International Association for Earthquake Engineering, 271–276.
21.
Sommerfeld, A. (1912). “Die Greensche funktion der schwingungsgleichung.” Jber. Deutsch. Math.‐Verein., 21, 309–353 (in German).
22.
Sommerfeld, A. (1949). Partial differential equations in physics. Academic Press, New York, N.Y.
23.
Tsai, C. S., and Lee, G. C. (1987a). “Arch dam‐fluid interactions: By FEM‐BEM and substructure concept.” Int. J. Numerical Methods in Engrg., 24(Dec), 2367–2388.
24.
Tsai, C. S., and Lee, G. C. (1987b). “Analyses of infinite reservoir using the boundary element method with particular integrals.” Boundary Elements IX, Proc. Of 9th Int. Conference, 1, 143–164.
25.
Tsai, C. S., and Lee, G. C. (1987c). “Analyses of infinite reservoir.” ASCE Engrg. Mech. Specialty Conference, ASCE.
26.
Tsai, C. S., and Lee, G. C. (1989). “Hydrodynamic pressure on gravity dams subjected to ground motion.” J. Engrg. Mech. Div., ASCE, 115(3), 598–617.
27.
Tsai, C. S., and Lee, G. C. (1990). “Method for the transient analysis of threedimensional dam‐reservoir interactions.” J. Engrg. Mech., ASCE, 116(10), 2151–2172.
28.
Tsai, C. S., Lee, G. C., and Ketter, R. L. (1990a). “Solution of the dam‐reservoir interaction problem using a combination of FEM, BEM with particular integrals, modal analysis and substructuring.” J. Engrg. Analysis (in press).
29.
Tsai, C. S., Lee, G. C., and Ketter, R. L. (1990b). “A semi‐analytical method for time‐domain analyses of dam‐reservoir interactions.” Int. J. Numerical Methods in Engrg., 29(5), 913–933.
30.
Tsai, C. S., Lee, G. C., and Yeh, C. S. (1990c). “Transient responses of 3‐D fluid structure interactions.” Advances in Boundary Elements Methods in Japan and USA, Vol.7, 183–199.
31.
Vargas‐Loli, L. M., and Fenves, G. L. (1988). “Nonlinear response of concrete gravity dams.” Proc. of Ninth World Conference on Earthquake Engrg., VI, International Association for Earthquake Engineering, 343–348.
32.
Vargas‐Loli, L. M., and Fenves, G. L. (1989). “Effects of concrete cracking on the earthquake response of gravity dams.” Earthquake Engrg. and Struct. Dynamics, 18(4), 575–592.
33.
Wang, M.‐H., and Hung, T.‐K. (1990). “Three‐dimensional analysis of pressures on dams.” J. Engrg. Mech., ASCE, 116(6), 1290–1304.
34.
Wepf, Dieter H., Wolf, J. P., and Bachmann, H. (1988). “Hydrodynamic‐stiffness matrix based on boundary elements for time‐domain dam‐reservoir‐soil analysis.” Earthquake Engrg. and Struct. Dynamics, 16(3), 417–432.
35.
Westergaard, H. M. (1933). “Water pressures on dams during earthquakes.” Trans., ASCE, 98, 418–433.
36.
Zienkiewicz, O. C., and Bettess, P. (1978). “Fluid‐structure dynamic interaction and wave forces. An introduction to numerical treatment.” Int. J. for Numerical Methods in Engrg., 13(1), 1–16.
37.
Zienkiewicz, O. C., Paul, D. K., and Hinton, E. (1983). “Cavitation in fluid‐structure response (with particular reference to dams under earthquake loading).” Earthquake Engrg. and Struct. Dynamics, 11(4), 463–481.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 117Issue 9September 1991
Pages: 2007 - 2026

History

Published online: Sep 1, 1991
Published in print: Sep 1991

Permissions

Request permissions for this article.

Authors

Affiliations

C. S. Tsai, Associate Member, ASCE
Res. Asst. Prof., Dept. of Civ. Engrg., State Univ. of New York at Buffalo, Buffalo, NY 14260
G. C. Lee, Member, ASCE
Prof. and Dean of Engrg. and Appl. Sci., 412 Bonner Hall, State Univ. of New York at Buffalo, Buffalo, NY

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share