Article
Optimized Cauchy-Gaussian Blend Model for Stochastic-Parametric Simulation of Seismic Ground Motions
Downloads
- Download
This work is licensed under a Creative Commons Attribution 4.0 International License.
Copyright
The authors shall retain the copyright of their work but allow the Publisher to publish, copy, distribute, and convey the work.
License
Prevention and Treatment of Natural Disasters (PTND) publishes accepted manuscripts under Creative Commons Attribution 4.0 International (CC BY 4.0). Authors who submit their papers for publication by Prevention and Treatment of Natural Disasters (PTND) agree to have the CC BY 4.0 license applied to their work, and that anyone is allowed to reuse the article or part of it free of charge for any purpose, including commercial use. As long as the author and original source is properly cited, anyone may copy, redistribute, reuse and transform the content.
This article proposes a stochastic model for generation of synthetic seismic ground motions. In the first step, the wavelet coefficients of a record are extracted by the dual-tree complex discrete wavelet transform (DT-CDWT) and then they are simulated by an optimized Cauchy-Gaussian blend (CGB) model. This model predicts well the energy distribution of seismic ground motions, because in this model, the Gaussian distribution simulates smooth peaks and the Cauchy distribution is used to simulate impulsive peaks. Also, this model simulates several ascending-descending cycles in the time domain, predicts multiple frequency peaks each time, and simulates sequence-type records.
Keywords:
Seismic ground motions Cauchy-Gaussian blend model Complex discrete wavelet transform Genetic algorithm Spectral and temporal nonstationarityReferences
- Somerville, P.G., Smith, N.F., Graves, R.W., et al.,1997. Modification of empirical strong ground motion attenuation relations to include the amplitude and duration effects of rupture directivity. Seismological Research Letters. 68(1), 199-222.
- Luco, N., Bazzurro, P., 2007. Does amplitude scaling of ground motion records result in biased nonlinear structural drift responses? Earthquake Engineering & Structural Dynamics. 36(13), 1813-1835.
- Grigoriu, M., 2011. To scale or not to scale seismic ground-acceleration records. Journal of Engineering Mechanics. 137(4), 284-293.
- Rezaeian, S., Der Kiureghian, A., 2008. A stochastic ground motion model with separable temporal and spectral nonstationarities. Earthquake Engineering & Structural Dynamics. 37(13), 1565-1584.
- Mobarakeh, A.A., Rofooei, F.R., Ahmadi, G., 2002. Simulation of earthquake records using time-varying ARMA (2,1) model. Probabilistic Engineering Mechanics. 17, 15-34.
- Wen, Y.K., Gu, P., 2004. Description and simulation of nonstationary processes based on Hilbert spectra. Journal of Engineering Mechanics (ASCE). 130, 942-951.
- Zhang, Y., Zhao, F., 2010. Artificial ground motion compatible with specified peak ground displacement and target multi-damping response spectra. Nuclear Engineering and Design. 240(10), 2571-2578. DOI: https://doi.org/10.1016/j.nucengdes.2010.05.041
- Zhang, Y., Zhao, F., Yang, C., 2015. Generation of Nonstationary Ground Motions Compatible with Multi-Damping Response Spectra. Bulletin of the Seismological Society of America. 105(1), 341-353. DOI: https://doi.org/10.1785/0120140038
- Wang, L., McCullough, M., Kareem, A., 2014. Modeling and Simulation of Nonstationary Processes Utilizing Wavelet and Hilbert Transforms. Journal of Engineering Mechanics. 140(2), 345-360. DOI: https://doi.org/10.1061/(ASCE)EM.1943-7889.0000666
- Sabetta, F., Pugliese, A., 1996. Estimation of response spectra and simulation of nonstationary earthquake ground motions. Bulletin of the Seismological Society of America. 86(2), 337-352.
- Stafford, P.J., Sgobba, S., Marano, G.C., 2009. An energy-based envelope function for the stochastic simulation of earthquake accelerograms. Soil Dynamics and Earthquake Engineering. 29(7), 1123-1133. DOI: https://doi.org/10.1016/j.soildyn.2009.01.003
- Rezaeian, S., Der Kiureghian, A., 2010. Simulation of synthetic ground motions for specified earthquake and site characteristics. Earthquake Engineering & Structural Dynamics. 39(10), 1155-1180.
- Rezaeian, S., Der Kiureghian, A., 2012. Simulation of orthogonal horizontal ground motion components for specified earthquake and site characteristics. Earthquake Engineering & Structural Dynamics.41(2), 335-353.
- Medel-Vera, C., Ji, T., 2016. A stochastic ground motion accelerogram model for Northwest Europe. Soil Dynamics and Earthquake Engineering. 82, 170-195. DOI: https://doi.org/10.1016/j.soildyn.2015.12.012
- Tsioulou, A., Taflanidis, A.A., Galasso, C., 2017. Modification of stochastic ground motion models for matching target intensity measures. Earthquake Engineering & Structural Dynamics. pp. 1-22. DOI: https://doi.org/10.1002/eqe.2933
- Vetter, C.R., Taflanidis, A.A., Mavroeidis, G.P., 2016. Tuning of stochastic ground motion models for compatibility with ground motion prediction equations. Earthquake Engineering & Structural Dynamics. 45,893-912. DOI: https://doi.org/10.1002/eqe.2690
- Yamamoto, Y., Baker, J.W., 2013. Stochastic model for earthquake ground motion using wavelet packets. Bulletin of the Seismological Society of America.103(6), 3044-3056. DOI: https://doi.org/10.1785/0120120312
- Huang, D., Wang, G., 2014. Stochastic simulation of regionalized ground motions using wavelet packets and cokriging analysis. Earthquake Engineering & Structural Dynamics. DOI: https://doi.org/10.1002/eqe.2487
- Vlachos, C., Papakonstantinou, K.G., Deodatis, G., 2016. A multi-modal analytical non-stationary spectral model for characterization and stochastic simulation of earthquake ground motions. Soil Dynamics and Earthquake Engineering. 30, 177-191. DOI: https://doi.org/10.1016/j.soildyn.2015.10.006
- Vlachos, C., Papakonstantinou, K.G., Deodatis, G., 2018. Predictive model for site specific simulation of ground motions based on earthquake scenarios. Earthquake Engineering & Structural Dynamics. 47,195-218.
- Sharbati, R., Khoshnoudian, F., Ramazi, H.R., et al., 2018. Stochastic modeling and simulation of ground motions using complex discrete wavelet transform and Gaussian mixture model. Soil Dynamics and Earthquake Engineering. 114, 267-280. DOI: https://doi.org/10.1016/j.soildyn.2018.07.003
- Dak Hazirbaba, Y., Tezcan, J., 2015. Image based modeling and prediction of nonstationary ground motions. Computers & Structures. 174, 85-91.
- Tezcan, J., Cheng, J., Cheng, Q., 2014. Modeling and Prediction of Nonstationary Ground Motions as Time-Frequency Images. IEEE Transactions on Geoscience and Remote Sensing. (99), 1-8. DOI: https://doi.org/10.1109/TGRS.2014.2347335
- Wang, D., Fan, Z., Hao, S., et al., 2018. An evolutionary power spectrum model of fully nonstationary seismic ground motion. Soil Dynamics and Earthquake Engineering. 105, 1-10. DOI: https://doi.org/10.1016/j.soildyn.2017.11.014
- Kingsbury, N.G., 1999. Image processing with complex wavelets. Philosophical Transactions of Royal Society A. 357(1760), 1-16. DOI: https://doi.org/10.1098/rsta.1999.0447
- Holland, J.H., 1975. Adaptation in Natural and Artificial Systems. University of Michigan Press, Ann Arbor. (2nd Edition, MIT Press, 1992).
- HA, M.P., Kumar, L., Ananthapadmanabha, T., 2014. A novel approach for optimal allocation of a distributed generator in a radial distribution feeder for loss minimization and tail end node voltage improvement during peak load. International Transaction of Electrical and Computer Engineers System. 2, 67-72.
- NIED, 2013. Strong-motion seismograph networks (K-NET, Kik-net). National Research Institute for Earth Science and Disaster Prevention. http://www. kyoshin.bosai.go.jp/ (December 01, 2018).
- Boashash, B., Ali Khan, N., Ben-Jabeur, T., 2015. Time-frequency features for pattern recognition using high-resolution TFDs: A tutorial review. Digital Signal Processing. 40, 1-30. DOI: http://dx.doi.org/10.1016/j.dsp.2014.12.015
- Pacific Earthquake Engineering Research, 2014. PEER Ground Motion Database - NGA-West2. http://ngawest2.berkeley.edu/ (December 01, 2018).
- Conte, J.P., Peng, B.F., 1997. Fully nonstationary analytical earthquake ground-motion model. Journal of Engineering Mechanics (ASCE). 12, 15-24.