Document Type




Format of Original

23 p.

Publication Date



Earthquake Engineering Research Institute

Source Publication

Earthquake Spectra

Source ISSN


Original Item ID

doi: 10.1193/1.3608002


Dynamic structural analysis often requires the selection of input ground motions with a target mean response spectrum. The variance of the target response spectrum is usually ignored or accounted for in an ad hoc manner, which can bias the structural response estimates. This manuscript proposes a computationally efficient and theoretically consistent algorithm to select ground motions that match the target response spectrum mean and variance. The selection algorithm probabilistically generates multiple response spectra from a target distribution, and then selects recorded ground motions whose response spectra individually match the simulated response spectra. A greedy optimization technique further improves the match between the target and the sample means and variances. The proposed algorithm is used to select ground motions for the analysis of sample structures in order to assess the impact of considering ground-motion variance on the structural response estimates. The implications for code-based design and performance-based earthquake engineering are discussed.


Published version. Earthquake Spectra, Vol. 27, No. 3 (August 2011): 797-815. DOI. © 2011 Earthquake Engineering Research Institute. Used with permission.

Ting Lin was affiliated with Stanford University at time of publication

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