Covariance Structure Between Spectral Accelerations with Different Periods

Abstract eng:
Ground motion attenuation relationships for spectral acceleration have been developed in Japan. Although these prediction models can usually provide a mean value and a standard deviation for each specified period, they do not characterize covariance property of spectral acceleration between two different periods. This leads to less precise prediction of the response of structural systems such as multi-degree-of-freedom systems and/or nonlinear systems. Some studies have paid attention to this shortcoming and tried to model the correlation of spectral accelerations by statistical methods based on the small number of records. In the present paper, a large amount of ground motion records, which have been observed from recent earthquakes by K-NET and KiK-NET, were used for the covariance analysis. The covariance structure of two spectral values was investigated through principal component analysis (PCA). The covariance characteristics were physically interpreted by examining the effects of the different attenuation relationships, paths and soil conditions.

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