Correlation of Response Spectral Values for Multicomponent Ground Motions

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Vector-valued Intensity Measures Incorporating Spectral Shape For Prediction of Structural Response (2008, methodology): “A Three-Parameter Vector Consisting of Sa(T1), RT1,T2 and ε The ground motion parameter ε has been a subject of recent investigations [Baker and Cornell 2005a, 2006a], and has been found to predict structural response given knowledge of Sa(T1).”
Structure-Specific Scalar Intensity Measures for Near-Source and Ordinary Earthquake Ground Motions (2007, background): “Furthermore, information on the correlation between Sa T1 and Sa T2 that is needed to combine their attenuation relations is already available (e.g., Inoue and Cornell 1990, Baker and Cornell 2006).”
Statistical Tests of the Joint Distribution of Spectral Acceleration Values (2008, background): “Moreover, the assumption of normality must be extended to the joint distribution of the logarithmic spectral accelerations, when performing vector-valued seismic hazard analysis (Bazzurro and Cornell, 2002; Baker and Cornell, 2006).”
Spectral shape, epsilon and record selection (2006, background): “To complete the calculation of Equation (1), the following prediction for ln Sa(T1); ln Sa(T2), developed from regression on empirical observations [14], is also needed:”