Interfrequency Correlations among Fourier Spectral Ordinates and Implications for Stochastic Ground‐Motion Simulation

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Title: Interfrequency Correlations among Fourier Spectral Ordinates and Implications for Stochastic Ground‐Motion Simulation
Authors: Stafford, PJ
Item Type: Journal Article
Abstract: Models for the interfrequency correlations among Fourier spectral ordinates and variances of these ordinates are presented. These covariances among Fourier spectral ordinates can be used to generate accelerograms within a stochastic simulation framework that offer improvements over traditional approaches that make use of deterministic Fourier amplitude spectra combined with a random phase spectrum. The article demonstrates that the accelerograms generated in this new way result in response spectral ordinates that have variances that are very consistent with those predicted by empirical ground‐motion models. In addition, the interperiod correlations among response spectral ordinates obtained from the simulated motions are also consistent with empirically derived response spectral correlations. The study partitions the variance among Fourier spectral ordinates into between‐event, between‐site and within‐event components, and interfrequency correlation models, and variance models are derived for each component. The between‐event correlations are found to exhibit a mild degree of magnitude dependence. An important feature of the new correlation and variance models is that they can be used to generate accelerograms that are broadly consistent with conditional response spectra. This new approach has significant implications for response‐history analyses within earthquake engineering that make use of conditional spectra as a target.
Issue Date: 10-Oct-2017
Date of Acceptance: 11-Jul-2017
URI: http://hdl.handle.net/10044/1/50105
DOI: https://dx.doi.org/10.1785/0120170081
ISSN: 0037-1106
Publisher: Seismological Society of America
Start Page: 2774
End Page: 2791
Journal / Book Title: Bulletin of the Seismological Society of America
Volume: 107
Issue: 6
Copyright Statement: Copyright © 2018 Seismological Society of America. Peter J. Stafford; Interfrequency Correlations among Fourier Spectral Ordinates and Implications for Stochastic Ground‐Motion Simulation. Bulletin of the Seismological Society of America ; 107 (6): 2774–2791. doi: https://doi.org/10.1785/0120170081
Keywords: Science & Technology
Physical Sciences
Geochemistry & Geophysics
RESPONSE SPECTRA
PREDICTION EQUATIONS
RECORD SELECTION
DURATION MODELS
SITE CONDITIONS
STRESS DROP
ACCELERATION
VARIABILITY
MAGNITUDE
EARTHQUAKES
0404 Geophysics
0905 Civil Engineering
Publication Status: Published online
Appears in Collections:Faculty of Engineering
Civil and Environmental Engineering



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