Application of Probabilistic Approach to Aseismic Safety Analysis of Soil-Building Structure Systems
The fundamental equations of motion of soil-hysteretic building structural systems under earthquake-like random excitation are derived. Taking into account the non-stationary and non-white spectral characteristics of the excitation, the ordinary differential equations are derived for the covariance responses. Based on these responses, a new approach to estimation of the maximum ductility factor response is developed, and the probability of structural safety is examined. Numerical examples are presented and the accuracy of the proposed approach is demonstrated. The possible substitution of non-stationary spectral characteristics of the excitation for stationary ones is discussed through the examination of the response characteristics.
KeywordsCovariance Ductility ISEC
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- 1.Lin, Y.K.: First Excursion Failure of Randomly Excited Structures, AIAA Journal, August 1970, 720–72Google Scholar
- 3.Suzuki, Y. and Minai, R.: A Method of Seismic Response Analysis of Hysteretic Structures Based on Stochastic Differential Equations, Proceedings, 8th WCEE, July 1984, 4, 459–466Google Scholar
- 4.Asano, K. and Iwan, W.D.: An Alternative Approach to the Random Response of Bilinear Hysteretic Systems, Earthquake Engineering and Structural Dynamics, March-April 1984, 12 (2), 229–236Google Scholar
- 6.Kobori, T. and Asano,K.: Response Analysis of Soil-Hysteretic Structural System to Random Excitation, Transaction of AIJ, February 1981, 300, 6772, (in Japanese)Google Scholar
- 8.Lai, S.P.: Statistical Characterization of Strong Ground Motion Using Power Spectral Density Function, Bulletin of Seismological Society of America, February 1982, 72 (1), 259–274Google Scholar
- 9.Rice, S.O.: Mathematical Analysis of Random Noise, Selected Papers on Noise and Stochastic Processes, Dover Publication Inc., N.Y., 1954, 133–294Google Scholar
- 10.Asano, K. and Suzuki, S.: Prediction of Mean Maximum Response of Bi-Linear Hysteretic Systems, Technology Reports of Kansai University, March, 1984, 25, 201–207Google Scholar
- 11.Aoyagi, T. et al.: On the Behavior of Sumitomo-Seimei Sendai Building Structure During the Strong Earthquake Motion, Transactions of AIJ, January 1981, 299, 57–68, (in Japanese)Google Scholar
- 12.Hasuda, T. et al.: Analysis of the Miyagi Off Earthquake SMAC Accelerogram in Sendai JNR Managing Office Building, September 1978, Summary of Annual Reports of AIJ, 527–528, (in Japanese)Google Scholar