Abstract
Linear and nonlinear response history analyses have become popular in seismic design and seismic performance evaluation procedures. The accuracy of analysis results depends not only on the accurate analytic models for structures but also on the proper selection of input ground motions. The purpose of this study is to develop a computationally efficient and accurate procedure for selecting ground motions considering the target response spectrum mean and variance, and the correlations between response spectra of different periods. In this procedure, a number of response spectra are simulated equal to the number of ground motions to be selected, using a Monte Carlo simulation. Subsequently, ground motions are selected from a ground motion library to individually match the simulated response spectra, using the proposed selection procedure. This procedure is computationally efficient and accurate in selecting a ground motion that best matches a simulated response spectrum and in determining a scaling factor for the selected ground motion. In order to further improve the selection result, multiple sets of simulated response spectra are considered. The accuracy and efficiency of the proposed procedure are verified with numerical examples.
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References
Choi, E., Park, S.J., Yoon, S.J., Choi, D.H., Park, C.: Comparison of seismic performance of three restrainers for multiple-span bridges using fragility analysis. Nonlinear Dyn. 61, 83–99 (2010)
Abrahamson, N.A., Silva, W.J.: Empirical response spectral attenuation relations for shallow crustal earthquakes. Seismol. Res. Lett. 68(1), 94–126 (1997)
Boore, D.M., Joyner, W.B., Fumal, T.E.: Equations for estimating horizontal response spectra and peak acceleration from western North America earthquakes: a summary of recent work. Seismol. Res. Lett. 68(1), 128–153 (1997)
Campbell, K.W., Bozorgnia, Y.: NGA ground motion model for the geometric mean horizontal component of PGA, PGV, PGD and 5 % damped linear elastic response spectra for periods ranging from 0.01 to 10 s. Earthq. Spectra 24(1), 139–171 (2008)
Wen, Y.K., Collins, K.R., Han, S.W., Elwood, K.J.: Dual-level design of buildings under seismic loads. Struct. Saf. 18(2), 195–224 (1996)
Wen, Y.K., Wu, C.L.: Uniform hazard ground motions for mid-America cities. Earthq. Spectra 17(2), 359–384 (2001)
Han, S.W., Choi, Y.S.: Seismic hazard analysis in low and moderate seismic region-Korean peninsula. Struct. Saf. 30(6), 543–558 (2008)
Park, D., Kwak, D.Y., Jeong, C.G., Park, T.: Development of probabilistic seismic site coefficients of Korea. Soil Dyn. Earthq. Eng. 43(9), 247–260 (2012)
Kottke, A.R., Rathje, E.M.: A semi-automated procedure for selecting and scaling recorded earthquake motions for dynamic analysis. Earthq. Spectra 24(4), 911–932 (2008)
Katsanos, E., Sextos, A.G., Manolis, G.D.: Selection of earthquake ground motion records: a state-of-the-art review from a structural engineering perspective. Soil Dyn. Earthq. Eng. 30(4), 157–169 (2010)
Naeim, F., Alimoradi, A., Pezeshk, S.: Selection and scaling of ground motion time histories for structural design using genetic algorithms. Earthq. Spectra 20(2), 413–426 (2004)
Wang, G.: A ground motion selection and modification method capturing response spectrum characteristics and variability of scenario earthquakes. Soil Dyn. Earthq. Eng. 31(4), 611–625 (2011)
Jayaram, N., Lin, T., Baker, J.W.: A computationally efficient ground-motion selection algorithm for matching a target response spectrum mean and variance. Earthq. Spectra 27(3), 797–815 (2011)
Baker, J.W., Cornell, C.A.: Correlation of response spectral values for multicomponent ground motion. Bull. Seismol. Soc. Am. 96(1), 215–227 (2006)
Peer, NGA database. http://peer.berkeley.edu/nga/index.html (2005)
ASCE7-10: Minimum Design Loads for Building and Other Structures. American Society of Civil Engineers (2010)
Gupta, A., Krawinkler, H.: Seismic demands for performance evaluation of steel moment resisting frame structures (SAC Task 5.4.3). Report No. 132. John A. Blume Earthquake Engineering Center, Stanford University, Stanford, CA (1999)
Parkash, V., Powell, G.H. and Campbell, S.: DRAIN-2DX, base program description and user guide. Rep. No. UBC/SEMM-9317. University of California, Berkeley, CA, (1993)
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The work presented in this paper was sponsored by National Research Foundation of Korea (No. 2012R1A2A2A06045129) and (No. 2011-0028552).
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Han, S.W., Ha, S.J. & Seok, S.W. Efficient and accurate procedure for selecting ground motions matching target response spectrum. Nonlinear Dyn 78, 889–905 (2014). https://doi.org/10.1007/s11071-014-1484-0
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DOI: https://doi.org/10.1007/s11071-014-1484-0