Multivariate distribution models for design spectral accelerations based on uniform hazard spectra

Shun-Hao Ni, De-Yi Zhang, Wei-Chau Xie, Mahesh D. Pandey

In the proceedings of: GEO2011: 64th Canadian Geotechnical Conference, 14th Pan-American Conference on Soil Mechanics and Geotechnical Engineering, 5th Pan-American Conference on Teaching and Learning of Geotechnical Engineering

Session: Probability and Reliability-based Design

ABSTRACT: The site-specific design spectra, Uniform Hazard Spectra (UHS), have been adopted as input design ground motions in several seismic design codes. However, the UHS, which are derived from the conventional Probabilistic Seismic Hazard Analysis (PSHA), can only provide the probability of exceeding a specified value of spectral acceleration at individual vibration period. To perform reliability-based seismic design of structures, the analytical multivariate distribution of design spectral accelerations at multiple periods for a given site is desired. In this paper, a multivariate distribution model of design spectral accelerations at multiple periods are derived based on the marginal distribution model, knowledge of correlations among the spectral accelerations, and the existing uniform hazard spectra.

RÉSUMÉ: Les spectres de conception spécifique au site, les Spectres Uniforme de Risque Sismique (SURS), ont été adoptés comme motions du sol dans plusieurs codes de conception parasismique. Toutefois, SURS, qui sont dérivées de la Méthode d'Analyse Probabiliste du Danger Sismique (MAPDS), ne peuvent fournir que la probabilité de dépasser une certaine valeur de l'accélération spectrale à la période individuelle de vibration. Pour effectuer une conception parasismique basée sur la fiabilité des structures, la distribution analytique multi variée des accélérations spectrale de conception à des périodes multiples pour un site donné, est désire. Dans cet article, un modèle de distribution multi variée des accélérations spectrale de conception à de multiples périodes est dérivées basée sur le modèle de distribution marginale, la connaissance des corrélations entre les accélérations spectrales, et les spectres du risque uniforme existantes.

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