Wavelet-based generation of spatially correlated accelerograms |
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| Institution: | 1. College of Automation, Shenyang Aerospace University, Shenyang 110136, PR China;2. Department of Computing, Curtin University, Perth, WA 6102, Australia;1. Department of Civil Engineering and Architecture, University of Pavia, Via Ferrata, 1-27100 Pavia, Italy;2. Pavia, Italy;3. Department of Civil Engineering and Architecture, University of Pavia, Via Ferrata, 1-27100 Pavia, Italy;4. European Centre for Training and Research in Earthquake Engineering (EUCENTRE), Via Ferrata, 1-27100 Pavia, Italy |
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| Abstract: | For the seismic analysis of complex or nonlinear extended structures, it is useful to generate a set of properly correlated earthquake accelerograms that are consistent with a specified seismic hazard. A new simulation approach is presented in this paper for the generation of ensembles of spatially correlated accelerograms such that the simulated motions are consistent with (i) a parent accelerogram in the sense of temporal variations in frequency content, (ii) a design spectrum in the mean sense, and (iii) with a given instantaneous coherency structure. The formulation is based on the extension of stochastic decomposition technique to wavelet domain via the method of spectral factorization. A complex variant of the modified Littlewood-Paley wavelet function is proposed for the wavelet-based representation of earthquake accelerograms, such that this explicitly brings out the phase information of the signal, besides being able to decompose it into component time-histories having energy in non-overlapping frequency bands. The proposed approach is illustrated by generating ensembles of accelerograms at four stations. |
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| Keywords: | Spatial correlation Accelerogram simulation Wavelet analysis Stochastic decomposition Design spectrum Coherency structure |
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