Probability Density Evolution of a Nonlinear Concrete Gravity Dam Subjected to Nonstationary Seismic Ground Motion
Publication: Journal of Engineering Mechanics
Volume 144, Issue 1
Abstract
To simulate fully nonstationary earthquake ground motion, an improved generalized evolutionary spectrum model derived from a counterpart of stationary seismic processes is proposed in the present paper. Through integrating the proposed generalized evolutionary spectrum model and updated spectral representation method (U-SRM), a renewed simulation scheme is adopted to represent fully nonstationary seismic accelerations. The complete set of representative samples of earthquake ground motion with assigned probabilities can thus be readily generated. For the purpose of comprehensively evaluating the dynamic reliability of a concrete gravity dam structure, three relative displacement angles are suggested. Using the renewed simulation scheme combined with the probability density evolution method (PDEM), the nonlinear stochastic responses and dynamic reliability analysis for a randomly base-excited concrete gravity dam are examined. Numerical results reveal the physical mechanism of nonlinear seismic responses of concrete gravity dams. It thus indicates that the renewed scheme integrating the proposed generalized evolutionary spectrum model and U-SRM accommodates a more logical indicator for the seismic design of concrete gravity dams than the deterministic seismic design currently used in practice with recorded seismic accelerations.
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Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant Nos. 51778343, 51278282, and 51309143). These financial supports are gratefully acknowledged. Prof. Jie Li and Ph.D. Yongbo Peng are greatly appreciated for their constructive discussions and comments on the research. The authors are grateful to Mr. Bo Zeng for his help in preparing the present paper.
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Published In
Journal of Engineering Mechanics
Volume 144 • Issue 1 • January 2018
Copyright
©2017 American Society of Civil Engineers.
History
Received: Jan 16, 2017
Accepted: Jul 7, 2017
Published online: Nov 15, 2017
Published in print: Jan 1, 2018
Discussion open until: Apr 15, 2018
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