Electronic Supplement to
Validation of Ground-Motion Simulations through Simple Proxies for the Response of Engineered Systems

by Lynne S. Burks and Jack W. Baker

This electronic supplement contains MATLAB code to compute simple proxies for the response of engineering systems and four tables of ground-motion records and simulations selected to have comparable response spectra.

MATLAB Functions

Download: MATLAB Functions [Zip Archive; 20 KB].

The zipped file contains MATLAB functions to compute simple proxies for the response of engineered systems. It consists of the following files:

  1. baker_jayaram_correlation.m computes the predicted correlation of epsilon at two periods according to Baker & Jayaram (2008).
  2. Bilinear_Newmark_withTH.m computes the nonlinear time history response of a bilinear oscillator to a given ground-motion excitation using the Newmark method.
  3. fn_analyze_record.m extracts a pulse from a ground-motion velocity time history using wavelet analysis according to Baker (2007).
  4. fn_pulsePeriod.m computes the predicted median pulse period and standard deviation of the natural log of pulse period according to Bray and Rodriguez-Marek (2004) and Shahi and Baker (2011).
  5. fn_RotD100RotD50_ratio.m computes the predicted median ratio of SaRotD100 to SaSaRotD50 according to Beyer and Bommer (2006) and Shahi and Baker (2013).
  6. fn_SaRotDnn.m computes SaRotD100 and SaRotD50 for a given multicomponent ground motion and period.
  7. fn_Sdi_atten.m computes the predicted median ratio of inelastic-to-elastic displacement for a bilinear oscillator according to Tothong and Cornell (2006).
  8. getLinearSpectra_withTH.m computes the time history and spectral response of an SDOF oscillator to a given ground motion.

Tables

The following tables list the ground motion recordings (Table S1, from Baker et al., 2011) and simulations selected to have comparable response spectra (Tables S2–S4). All simulations are from the Southern California Earthquake Center Broadband Platform validation exercise (Dreger et al., 2014) of the 1989 Loma Prieta earthquake using the stochastic finite fault (EXSIM), Graves–Pitarka hybrid broadband (GP), or composite source model (CSM) method.

Table S1. Set of Pacific Earthquake Engineering Research Center (PEER) ground-motion recordings (set 2 from Baker et al., 2011). RSN refers to record sequence number in the NGA database.

Table S2. EXSIM simulations selected from multiple realizations of the Loma Prieta earthquake that have similar response spectra to the PEER records in Table S1.

Table S3. GP simulations selected from multiple realizations of the Loma Prieta earthquake that have similar response spectra to the PEER records in Table S1.

Table S4. CSM simulations selected from multiple realizations of the Loma Prieta earthquake that have similar response spectra to the PEER records in Table S1.

References

Baker, J. W. (2007). Quantitative classification of near-fault ground motions using wavelet analysis. Bull. Seismol. Soc. Am. 97, no. 5, 1486–1501.

Baker, J. W., and N. Jayaram (2008). Correlation of spectral acceleration values from NGA ground motion models. Earthq. Spectra 24, no. 1, 299–317.

Baker, J. W., T. Lin, S. K. Shahi, and N. Jayaram (2011). New ground motion selection procedures and selected motions for the PEER transportation research program. Technical Report PEER 2011/03, Pacific Earthquake Engineering Research Center, Berkeley, California.

Beyer, K., and J. J. Bommer (2006). Relationships between median values and between aleatory variabilities for different definitions of the horizontal component of motion. Bull. Seismol. Soc. Am. 96, no. 4A, 1512–1522.

Bray, J. D., and A. Rodriguez-Marek (2004). Characterization of fdorward-directivity ground motions in the near-fault region. Soil Dynam.Earthq. Eng. 24, no. 11, 815–828.

Dreger, D. S., G. C. Beroza, S. M. Day, C. A. Goulet, T. H. Jordan, P. A. Spudich, and J. P. Stewart (2014). Evaluation of SCEC Broadband Platform phase 1 ground motion simulation results. Technical Report XXX, Southern California Earthquake Center, Los Angeles, California (in press).

Shahi, S. K., and J. W. Baker (2011). An empirically calibrated framework for including the effects of near-fault directivity in probabilistic seismic hazard analysis. Bull. Seismol. Soc. Am. 101, no. 2, 742–755.

Shahi, S. K., and J. W. Baker (2013). NGA-West2 models for ground-motion directionality. Technical Report PEER 2013/10, Pacific Earthquake Engineering Research Center, Berkeley, California.

Tothong, P., and C. A. Cornell (2006). An empirical ground-motion attenuation relation for inelastic spectral displacement. Bull. Seismol. Soc. Am. 96, no. 6, 2146–2164.

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