Direct Hazard Analysis of Inelastic Response Spectra

Abstract eng:
In this paper we present results of direct probabilistic and deterministic hazard analyses of inelastic response spectra. Inelastic response spectra of over 3100 horizontal components of ground motions recorded in 64 shallow crsutal earthquakes in active tectonic regions were computed. This comprehensive database of inelastic response spectra was used to develop a ground motion prediction equation (GMPE), “attenuation” model, for inelastic spectra. For given displacement ductility ratio, two-step nonlinear regressions, as well as random effects analyses, were performed on the inelastic spectral ordinates. The GMPE is capable to correlate inelastic spectral ordinates to moment magnitude, fault rupture distance, faulting mechanism, local site condition, and basin depth. The GMPE for inelastic spectra was subsequently used to carry out probabilistic hazard analysis for inelastic spectra. In this computational process, deterministic and probabilistic inelastic responses were directly computed without any assumption and approximation on the relationship between inelastic and elastic response spectra. Given a site and the desired probability of exceedance, one can use the results of this study to directly estimate the inelastic response demanded by earthquake ground motion.

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