A slepian model approach to seismic reliability of structures
Additional Document Info
The accuracy of the Slepian model prediction relies heavily on the inherent assumption of Gaussianity for the underlying process as well as the assumption that the derivatives are Rayleigh distributed at level crossing. This paper presents the methodology and results of a study that investigated the effects of non-Gaussianity, non-stationarity, and structural nonlinearity on the accuracy of the Slepian model predictions. Initially, the strong ground motion portion of well-known earthquake records are extracted from the total ground motion record in order to investigate the effect of non-Gaussianity on the predictions. The model was also applied to predict the extremes of linear oscillators and a threestory frame whose beam-to-column connections were modeled hysteretically as tri-linear, to earthquake excitation. Predictions for the linear oscillators were found to be good. Once the accuracy of the three-story frame model was confirmed, the expected value form of the Slepian model was coupled with a drift-based limit state function to calculate the reliability to earthquake load using the first order reliability method (FORM). The predictions for this nonlinear frame were also found to be accurate enough to give good reliability estimates. Copyright (2006) by Earthquake Engineering Research Institute.