DOI QR코드

DOI QR Code

목표스펙트럼의 평균과 분산을 고려하기 위한 시뮬레이션 기반의 효율적인 지반운동기록 선정 알고리즘

Efficient Simulation-based Algorithm for Selecting Ground Motions Considering Mean and Variance of a Target Response Spectrum

  • 투고 : 2011.12.20
  • 발행 : 2012.02.25

초록

Linear and nonlinear dynamic analyses become popular in seismic design and seismic performance evaluation procedures. The accuracy of the results of such analyses depends not only on accurate analytic model of structures but also a proper selection of input ground motions. The purpose of this study is to develop a computationally efficient and accurate algorithm for selecting ground motions considering the mean and variance of target response spectrum. The proposed algorithm adopts a simulation based process for generating a desired number ($=n_g$) of simulated response spectra using the Monte Carlo Simulation with information of the mean, variance, and correlation structure of target response spectrum. The accuracy of selecting ground motions using the proposed algorithm is improved by generating multiple (=100) sets of simulated response spectra. Ten sets are chosen from the 100 sets, which best match the mean and standard deviation of a target response spectrum. Ground motions are then selected for each of the top ten sets. The set of ground motions having the mean and standard deviation of their response spectra that best match the target response spectrum is the one to be selected. To verify the accuracy and efficiency of the algorithm, numerical examples are provided.

키워드

과제정보

연구 과제 주관 기관 : 한국연구재단

참고문헌

  1. Wen, Y.K., and Wu. C.L., "Uniform hazard ground motions for mid-America cities," Earthquake spectra, 17(2), 359-384, 2001. https://doi.org/10.1193/1.1586179
  2. ASCE7-10, Minimum design loads for building and other structures, American Society of Civil Engineers, 2010.
  3. Abrahamson, N.A., and Silva, W.J., "Empirical response spectral attenuation relations for shallow crustal earthquakes,"Seismological Research Letters, 68(1), 94-126, 1997. https://doi.org/10.1785/gssrl.68.1.94
  4. Boore, D.M, Joyner, W.B., and Fumal, T.E., "Equations for estimating horizontal response spectra and peak acceleration from western North America earthquakes: A summary of recent work," Seismological Research Letters, 68, 128-153, 1997. https://doi.org/10.1785/gssrl.68.1.128
  5. Campbell, K.W., and 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 10s," Earthquake Spectra, 24, 139-171, 2008. https://doi.org/10.1193/1.2857546
  6. Kottke, A.R., and Rathje, E.M., "A semi-automated procedure for selecting and scaling recorded earthquake motions for dynamic analysis," Earthquake Spectra 24, 911-932, 2008. https://doi.org/10.1193/1.2985772
  7. Youngs, R.R., Power, M.S., Wang, G., Makdisi, F.I., and Chin, C.C., "Design ground motion library (DGML) - tool for selecting time history records for specific engineering applications.," in SMIP Seminar on Utilization of Strong-Motion Data, 2007.
  8. Naeim, F., Alimoradi, A., and Pezeshk, S., "Selection and scaling of ground motions time histories for structural design using genetic algorithms," Earthquake Spectra, 20, 413-426, 2004. https://doi.org/10.1193/1.1719028
  9. Jayaram, N., Lin, T., and Baker, J. W., "A computationally efficient ground-motion selection algorithm for matching a target response spectrum mean and variance," Earthquake Spectra, (in press), 2011.
  10. 한상환, 석승욱, "목표스펙스럼에 근사한 평균응답스펙트럼을 갖는 지반운동집단의 효율적인 선정방법," 한국지진공학회 논문집, 제 15권, 제 5호, 1-10, 2011.
  11. PEER NGA database, 2005. (May. 16, 2007)
  12. Baker, J.W., and Cornell, C.A., "A vector-valued ground motion intensity measure consisting of spectral acceleration and epsilon," Earthquake Engineeing and Structural Dynamics, 34, 1193-1217, 2005 https://doi.org/10.1002/eqe.474
  13. Baker, J.W., and Cornell, C.A., "Correlation of response spectral values for multicomponent ground motion," Bulletin of the Seismological Society of America, 96(1), 215-227, 2006. https://doi.org/10.1785/0120050060