Technical Papers
Sep 18, 2014

Response Spectrum Analysis of Concrete Gravity Dams Including Dam-Water-Foundation Interaction

Publication: Journal of Structural Engineering
Volume 141, Issue 8

Abstract

A response spectrum analysis (RSA) procedure, which estimates the peak response directly from the earthquake design spectrum, is available for the preliminary phase of design and safety evaluation of concrete gravity dams. This analysis procedure includes the effects of dam-water foundation interaction, known to be important in the earthquake response of dams. This paper presents a comprehensive evaluation of the accuracy of this RSA procedure by comparing its results with those obtained from response history analysis (RHA) of the dam modeled as a finite-element system, including dam-water-foundation interaction. The earthquake response of an actual dam to an ensemble of 58 ground motions, selected and scaled to be consistent with a target spectrum determined from a probabilistic seismic hazard analysis for the dam site, was determined by the RHA procedure. The median of the peak responses of the dam to 58 ground motions provided the benchmark result. The peak response was also estimated by the RSA procedure directly from the median response spectrum. Comparison of the two sets of results demonstrated that the RSA procedure estimates stresses to a degree of accuracy that is satisfactory for the preliminary phase in the design of new dams and in the safety evaluation of existing dams. The level of accuracy achieved in the RSA procedure is noteworthy, especially considering the complicated effects of dam-water-foundation interaction and reservoir bottom absorption on the dynamics of the system, and the number of approximations necessary to develop the procedure.

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Acknowledgments

The authors are grateful to several individuals who helped in this research: Professor Gautam Dasgupta at Columbia University provided the computer program to compute new compliance data for a viscoelastic half-plane; Professor Baris Binici at the Middle East Technical University (METU) provided a set of MATLAB scripts that were used as the starting point to develop preprocessors and postprocessors to the EAGD-84 computer program, which was utilized to perform all the response history analyses presented in this report; and Professor Pierre Léger at École Polytechnique de Montréal incorporated the new data presented in this report into the “pseudo-dynamic procedure” in the widely used computer program CADAM.

References

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 141Issue 8August 2015

History

Received: Feb 7, 2014
Accepted: Aug 16, 2014
Published online: Sep 18, 2014
Discussion open until: Feb 18, 2015
Published in print: Aug 1, 2015

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Authors

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Arnkjell Løkke
Master’s Student, Dept. of Structural Engineering, Norwegian Univ. of Science and Technology, NO-7491 Trondheim, Norway.
Anil K. Chopra, M.ASCE [email protected]
Horace, Dorothy, and Katherine Johnson Professor of Engineering, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, CA 94720-1710 (corresponding author). E-mail: [email protected]

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