Selection and Scaling of Ground Motions Using Multicriteria Optimization
Publication: Journal of Structural Engineering
Volume 146, Issue 11
Abstract
Although large ground motion databases are widely available today, in many occasions, the selection of ground motion records still hampers the use of nonlinear response history analysis in seismic engineering practice. This paper presents a novel optimization-based tool for creating subsets of ground motion records extracted from large databases. Existing heuristic methods select and/or scale ground motion records so that their mean spectrum fits a target spectrum, while methods that also consider the variability have been proposed. The paper presents a new and simple approach that selects and, if necessary, scales the ground motion records so that both their mean and variability optimally fit a target spectrum. The proposed approach is a multiobjective optimization methodology that can be solved quickly and efficiently with an evolutionary optimization algorithm. Contrary to other approaches, a Monte Carlo step is not required, while the proposed procedure is easy to implement and able to quickly search large databases. Furthermore, among the suite of optimum solutions (Pareto front) obtained, a criterion for choosing the most suitable design is proposed. The efficiency of the proposed tool is demonstrated with two numerical examples. In the first example, the target spectrum is a uniform hazard spectrum, while in the second example, a conditional mean spectrum (CMS) is adopted instead.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request.
References
Al Atika, L., and N. Abrahamson. 2010. “An improved method for nonstationary spectral matching.” Earthquake Spectra 26 (3): 601–617.
Ambraseys, N., J. Douglas, D. Rinaldis, C. Berge-Thierry, P. Suhadolc, G. Costa, R. Sigbjörnsson, and P. Smit. 2004. Vol. 2 of Dissemination of European strong-motion data. Swindon, UK: Engineering and Physical Sciences Research Council.
Baker, J., and C. Cornell. 2006. Vector-valued ground motion intensity measures for probabilistic seismic demand analysis. Stanford, CA: John A. Blume Earthquake Engineering Center.
Baker, J. W. 2007. “Quantitative classification of near-fault ground motions using wavelet analysis.” Bull. Seismol. Soc. Am. 97 (5): 1486–1501. https://doi.org/10.1785/0120060255.
Baker, J. W. 2011. “Conditional mean spectrum: Tool for ground motion selection.” J. Struct. Eng. 137 (3): 322–331. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000215.
Baker, J. W., and N. Jayaram. 2008. “Correlation of spectral acceleration values from NGA ground motion models.” Earthquake Spectra 24 (1): 299–317. https://doi.org/10.1193/1.2857544.
Baker, J. W., and C. Lee. 2017. “An improved algorithm for selecting ground motions to match a conditional spectrum.” J. Earthquake Eng. 22 (4): 708–723. https://doi.org/10.1080/13632469.2016.1264334.
Beyer, K., and J. Bommer. 2007. “Selection and scaling of real accelerograms for bi-directional loading: A review of current practice and code provisions.” Supplement, J. Earthquake Eng. 11 (S1): 13–45. https://doi.org/10.1080/13632460701280013.
Boore, D. M., J. P. Stewart, E. Seyhan, and G. M. Atkinson. 2014. “NGA-West2 equations for predicting PGA, PGV, and 5% damped PSA for shallow crustal earthquakes.” Earthquake Spectra 30 (3): 1057–1085. https://doi.org/10.1193/070113EQS184M.
Buratti, N., P. Stafford, and J. Bommer. 2011. “Earthquake accelerogram selection and scaling procedures for estimating the distribution of drift response.” J. Struct. Eng. 137 (3): 345–357. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000217.
CEN (European Committee for Standardization). 2004. Eurocode 8: Design of structures for earthquake resistance. I: General rules, seismic actions and rules for buildings. EN1998-1. Brussels, Belgium: CEN.
Deb, K., A. Pratap, S. Agarwal, and T. Meyarivan. 2002. “A fast and elitist multi-objective genetic algorithm: NSGA-II.” IEEE Trans. Evol. Comput. 6 (2): 182–197. https://doi.org/10.1109/4235.996017.
Dussom, K., T. Hadj-Hamou, and R. Bakeer. 1991. “Quake: An expert system for the selection of design earthquake accelerogram.” Comput. Struct. 40 (1): 161–167. https://doi.org/10.1016/0045-7949(91)90468-2.
Eads, L., E. Miranda, and D. Lignos. 2015. “Average spectral acceleration as an intensity measure for collapse risk assessment.” Earthquake Eng. Struct. Dyn. 44 (12): 2057–2073. https://doi.org/10.1002/eqe.2575.
Ferritto, J. 1992. Optimized earthquake time history and response spectra (user’s guide). Port Hueme, CA: Naval Civil Engineering Laboratory.
Fragiadakis, M., D. Vamvatsikos, M. Karlaftis, N. Lagaros, and M. Papadrakakis. 2015. “Seismic assessment of structures and lifelines.” J. Sound Vib. 334 (Jan): 29–56. https://doi.org/10.1016/j.jsv.2013.12.031.
Georgioudakis, M., M. Fragiadakis, and M. Papadrakakis. 2017a. “Multi-criteria selection and scaling of ground motion records using evolutionary algorithms.” Proceedia Eng. 199: 3528–3533. https://doi.org/10.1016/j.proeng.2017.09.504.
Georgioudakis, M., N. D. Lagaros, and M. Papadrakakis. 2017b. “Probabilistic shape design optimization of structural components under fatigue.” Comput. Struct. 182 (Apr): 252–266. https://doi.org/10.1016/j.compstruc.2016.12.008.
Georgioudakis, M., and V. Plevris. 2018. “A combined modal correlation criterion for structural damage identification with noisy modal data.” Adv. Civil Eng. 2018: 1. https://doi.org/10.1155/2018/3183067.
Ha, S., and S. Han. 2016a. “An efficient method for selecting and scaling ground motions matching target response spectrum mean and variance.” Earthquake Eng. Struct. Dyn. 45 (8): 1381–1387. https://doi.org/10.1002/eqe.2702.
Ha, S., and S. Han. 2016b. “A method for selecting ground motions that considers target response spectrum mean and variance as well as correlation structure.” J. Earthquake Eng. 20 (8): 1263–1277. https://doi.org/10.1080/13632469.2016.1138162.
Haydar Kayhan, A., K. Armagan Korkmaz, and A. Irfanoglu. 2011. “Selecting and scaling real ground motion records using harmony search algorithm.” Soil Dyn. Earthquake Eng. 31 (7): 941–953. https://doi.org/10.1016/j.soildyn.2011.02.009.
Iervolino, I., C. Galasso, and E. Cosenza. 2010. “REXEL: Computer aided record selection for code-based seismic structural analysis.” Bull. Earthquake Eng. 8 (2): 339–362. https://doi.org/10.1007/s10518-009-9146-1.
Jayaram, N., T. Lin, and J. Baker. 2011. “A computationally efficient ground-motion selection algorithm for matching a target response spectrum mean and variance.” Earthquake Spectra 27 (3): 797–815. https://doi.org/10.1193/1.3608002.
Kardoutsou, V., I. Taflampas, and I. N. Psycharis. 2017. “A new pulse indicator for the classification of ground motions.” Bull. Seismol. Soc. Am. 107 (3): 1356–1364. https://doi.org/10.1785/0120160301.
Katsanos, E., and A. Sextos. 2013. “Issars: An integrated software environment for structure-specific earthquake ground motion selection.” Adv. Eng. Software 58 (Apr): 70–85. https://doi.org/10.1016/j.advengsoft.2013.01.003.
Katsanos, E., A. Sextos, and G. Manolis. 2010. “Selection of earthquake ground motion records: A state-of-the-art review from a structural engineering perspective.” Soil Dyn. Earthquake Eng. 30 (4): 157–169. https://doi.org/10.1016/j.soildyn.2009.10.005.
Katsanos, E. I., and A. G. Sextos. 2018. “Structure-specific selection of earthquake ground motions for the reliable design and assessment of structures.” Bull. Earthquake Eng. 16 (2): 583–611. https://doi.org/10.1007/s10518-017-0226-3.
Kohrangi, M., D. Vamvatsikos, and P. Bazzurro. 2017. “Site dependence and record selection schemes for building fragility and regional loss assessment.” Earthquake Eng. Struct. Dyn. 46 (10): 1625–1643. https://doi.org/10.1002/eqe.2873.
Kottke, A., and E. Rathje. 2008. “A semi-automated procedure for selecting and scaling recorded earthquake motions for dynamic analysis.” Earthquake Spectra 24 (4): 911–932. https://doi.org/10.1193/1.2985772.
Lampinen, J., and I. Zelinka. 1999. “Mixed integer-discrete-continuous optimization by differential evolution. I: The optimization method.” In Proc., 5th Int. Mendel Conf. on Soft Computing (MENDEL’99), edited by P. Ošmera, 71–76. Karlín, Czech Republic: Humusoft.
Lin, T., and J. Baker. 2015. “Conditional spectra.” In Encyclopedia of earthquake engineering, 1–13. Berlin: Springer.
Macedo, L., and J. Castro. 2017. “Seleq: An advanced ground motion record selection and scaling framework.” Adv. Eng. Software 114 (Dec): 32–47. https://doi.org/10.1016/j.advengsoft.2017.05.005.
Mergos, P., and A. Sextos. 2019. “Selection of earthquake ground motions for multiple objectives using genetic algorithms.” Eng. Struct. 187 (May): 414–427. https://doi.org/10.1016/j.engstruct.2019.02.067.
Naeim, F., A. Alimoradi, and S. Pezeshk. 2004. “Selection and scaling of ground motion time histories for structural design using genetic algorithms.” Earthquake Spectra 20 (2): 413–426. https://doi.org/10.1193/1.1719028.
NIST (National Institute of Standards and Technology). 2011. Selecting and scaling earthquake ground motions for performing response-history analyses.. East Lansing, MI: NEHRP Consultants Joint Venture.
PEER (Pacific Earthquake Engineering Research Center). 2017. “Shallow crustal earthquakes in active tectonic regimes.” Accessed July 31, 2019. http://ngawest2.berkeley.edu.
Robič, T., and B. Filipič. 2005. “DEMO: Differential evolution for multiobjective optimization.” In Proc., 3rd Int. Conf. on Evolutionary Multi-Criterion Optimization, edited by C. A. Coello, A. Hernández Aguirre, and E. Zitzler, 520–533. Berlin: Springer.
Storn, R., and K. Price. 1997. “Differential evolution: A simple and efficient heuristic for global optimization over continuous spaces.” J. Global Optim. 11 (4): 341–359. https://doi.org/10.1023/A:1008202821328.
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Published In
Journal of Structural Engineering
Volume 146 • Issue 11 • November 2020
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Jul 31, 2019
Accepted: May 29, 2020
Published online: Aug 22, 2020
Published in print: Nov 1, 2020
Discussion open until: Jan 22, 2021
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