Simplified Earthquake Analysis of Concrete Gravity Dams
Publication: Journal of Structural Engineering
Volume 113, Issue 8
Abstract
A two‐stage procedure was proposed in 1978 for the analysis phase of elastic design and safety evaluation of concrete gravity dams: (1) A simplified analysis procedure in which the response due only to the fundamental vibration mode is estimated directly from the earthquake design spectrum; and (2) a refined response history analysis procedure for finite element idealizations of the dam monolith. The former was recommended for the preliminary design and safety evaluation of dams, and the latter for accurately computing the dynamic response and checking the adequacy of the preliminary evaluation. In this paper, the simplified analysis procedure has been extended to include the effects of dam‐foundation rock interaction and of reservoir bottom sediments, in addition to the effects of dam‐water interaction and water compressibility included in the earlier procedure. Also included now in the simplified procedure is a “static correction” method to consider the response contributions of the higher vibration modes. Thus, the design procedure proposed in 1978, which is still conceptually valid, should utilize the new simplified analysis procedure.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Anagnostopoulos, S. A., “Wave and Earthquake Response of Offshore Structures: Evaluation of Modal Solutions,” Journal of the Structural Division, ASCE, Vol. 108, No. 10, Oct., 1982, pp. 2175–2191.
2.
Chopra, A. K., Dynamics of Structures, A Primer, Earthquake Engineering Research Institute, Berkeley, Calif., 1981.
3.
Chopra, A. K., “Earthquake Resistant Design of Concrete Gravity Dams,” Journal of the Structural Division, ASCE, Vol. 104, No. 6, Jun., 1978, pp. 953–971.
4.
Design of Gravity Dams, U.S. Bureau of Reclamation, U.S. Government Printing Office, Denver, Colo., 1976.
5.
Fenves, G., and Chopra, A. K., “EAGD‐84: A Computer Program for Earthquake Analysis of Concrete Gravity Dams,” Report No. UCB/EERC‐84/11, Earthquake Engineering Research Center, University of California, Berkeley, Calif., 1984.
6.
Fenves, G., and Chopra, A. K., “Earthquake Analysis of Concrete Gravity Dams Including Reservoir Bottom Absorption and Dam‐Water‐Foundation Rock Interaction,” Earthquake Engineering and Structural Dynamics, Vol. 12, No. 5, Sep.–Oct., 1984, pp. 663–680.
7.
Fenves, G., and Chopra, A. K., “Effects of Reservoir Bottom Absorption and Dam‐Water‐Foundation Rock Interaction on Frequency Response Functions for Concrete Gravity Dams,” Earthquake Engineering and Structural Dynamics, Vol. 13, No. 1, Jan.–Feb., 1985, pp. 13–31.
8.
Fenves, G., and Chopra, A. K., “Effects of Reservoir Bottom Absorption on Earthquake Response of Concrete Gravity Dams,” Earthquake Engineering and Structural Dynamics, Vol. 11, No. 6, Nov.–Dec., 1983, pp. 809–829.
9.
Fenves, G., and Chopra, A. K., “Reservoir Bottom Absorption Effects in Earthquake Response of Concrete Gravity Dams,” Journal of Structural Engineering, ASCE, Vol. 111, No. 3, Mar., 1985, pp. 545–562.
10.
Fenves, G., and Chopra, A. K., “Simplified Analysis for Earthquake Resistant Design of Concrete Gravity Dams,” Report No. UCB/EERC‐85/10, Earthquake Engineering Research Center, University of California, Berkeley, Calif., 1986.
11.
Fenves, G., and Chopra, A. K., “Simplified Earthquake Analysis of Concrete Gravity Dams: Combined Hydrodynamic and Foundation Interaction Effects,” Journal of Engineering Mechanics, ASCE, Vol. 111, No. 6, Jun., 1985, pp. 736–756.
12.
Fenves, G., and Chopra, A. K., “Simplified Earthquake Analysis of Concrete Gravity Dams: Separate Hydrodynamic and Foundation Interaction Effects,” Journal of Engineering Mechanics, ASCE, Vol. 111, No. 6, Jun., 1985, pp. 715–735.
13.
Hansteen, O. E., and Bell, K., “On the Accuracy of Mode Superposition Analysis in Structural Dynamics,” Earthquake Engineering and Structural Dynamics, Vol. 7, No. 5, Sep.–Oct., 1979, pp. 405–411.
14.
Rosenblueth, E., “Presión Hidrodinámica en Presas Debida a la Aceleración Vertical con Refraccion en el Fonda,” Proceedings, 2nd Congreso Nacional de lngeniería Sismica, Vol. 3, Sociedad Mexicana de Ingeniería and Universidad Veracruzana, Veracruz, Mexico, 1968 (in Spanish).
15.
Veletsos, A. S., “Dynamics of Structure‐Foundation Systems,” Structural and Geotechnical Mechanics, W. J. Hall, Ed., Prentice‐Hall, Clifton, N.J., 1977.
Information & Authors
Information
Published In
Copyright
Copyright © 1987 ASCE.
History
Published online: Aug 1, 1987
Published in print: Aug 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.