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Proposal of new ground-motion prediction equations for elastic input energy spectra

  • Cheng, Yin (Department of Structural and Geotechnical Engineering, Sapienza University of Rome) ;
  • Lucchini, Andrea (Department of Structural and Geotechnical Engineering, Sapienza University of Rome) ;
  • Mollaioli, Fabrizio (Department of Structural and Geotechnical Engineering, Sapienza University of Rome)
  • 투고 : 2014.02.27
  • 심사 : 2014.05.29
  • 발행 : 2014.10.30

초록

In performance-based seismic design procedures Peak Ground Acceleration (PGA) and pseudo-Spectral acceleration ($S_a$) are commonly used to predict the response of structures to earthquake. Recently, research has been carried out to evaluate the predictive capability of these standard Intensity Measures (IMs) with respect to different types of structures and Engineering Demand Parameter (EDP) commonly used to measure damage. Efforts have been also spent to propose alternative IMs that are able to improve the results of the response predictions. However, most of these IMs are not usually employed in probabilistic seismic demand analyses because of the lack of reliable Ground Motion Prediction Equations (GMPEs). In order to define seismic hazard and thus to calculate demand hazard curves it is essential, in fact, to establish a GMPE for the earthquake intensity. In the light of this need, new GMPEs are proposed here for the elastic input energy spectra, energy-based intensity measures that have been shown to be good predictors of both structural and non-structural damage for many types of structures. The proposed GMPEs are developed using mixed-effects models by empirical regressions on a large number of strong-motions selected from the NGA database. Parametric analyses are carried out to show the effect of some properties variation, such as fault mechanism, type of soil, earthquake magnitude and distance, on the considered IMs. Results of comparisons between the proposed GMPEs and other from the literature are finally shown.

키워드

참고문헌

  1. Abrahamson, N. and Silva, W. (2008), "Summary of the Abrahamson & silva NGA ground-motion relations", Earthq. Spectra, 24(1), 67-97. https://doi.org/10.1193/1.2924360
  2. Abrahamson, N.A. and Youngs, R.R. (1992), "A stable algorithm for regression analyses using the random effects model", Bull. Seismol. Soc. Am., 82(1), 505-510.
  3. Akiyama, H. (1985), Earthquake-Resistant Limit-State Design for Buildings. University of Tokyo Press.
  4. Benavent-Climent, A., Pujades, L.G. and Lopez-Almansa, F. (2002), "Design energy input spectra for moderate-seismicity regions", Earthq. Eng. Struct. Dyn., 2002, 31,1151-1172. https://doi.org/10.1002/eqe.153
  5. Benavent-Climent, A., Lopez-Almansa, F. and Bravo-Gonzalez, D.A. (2010a), "Design energy input spectra for moderate-to-high seismicity regions based on Colombian earthquakes", Soil. Dyn. Earthq. Eng., 30(11), 1129-1148. https://doi.org/10.1016/j.soildyn.2010.04.022
  6. Benavent-Climent, A. and Zahran R. (2010b), "Seismic evaluation of existing RC frames with wide beams using an energy-based approach", Earthq. Struct., 1(1), 93-108. https://doi.org/10.12989/eas.2010.1.1.093
  7. Boore, D.M., Atkinson, G.M. (2008), "Ground-motion prediction equations for the average horizontal component of pga, pgv, and 5%-damped psa at spectral periods between 0.01 s and 10.0 s", Earthq. Spectra, 24(1), 99-138. https://doi.org/10.1193/1.2830434
  8. Boore, D.M., Joyner, W.B. and Fumal, T.E. (1993), "Estimation of response spectra and peak accelerations from western North American earthquakes: An interim report", U. S. Geological Survey Open-File Report 93-509
  9. Brillinger, D.R. and Preisler, H.K. (1984), "An exploratory analysis of the Joyner-Boore attenuation data", Bull. Seismol. Soc. Am., 74(4), 1441-1450.
  10. Brillinger, D.R. and Preisler, H.K. (1985), "Further analysis of the Joyner-Boore attenuation data", Bull. Seismol. Soc. Am., 75(2), 611-614.
  11. Campbell, K.W., Bozorgnia, Y. (2008), "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. https://doi.org/10.1193/1.2857546
  12. Chapman, M.C. (1999), "On the use of elastic input energy for seismic hazard analysis", Earthq. Spectra, 15(4), 607-635. https://doi.org/10.1193/1.1586064
  13. Chiou, B.J. and Youngs, R.R. (2008), "An NGA model for the average horizontal component of peak ground motion and response spectra", Earthq. Spectra, 24(1), 173-215. https://doi.org/10.1193/1.2894832
  14. Danciu, L. and Tselentis, G.A. (2007), "Engineering ground-motion parameters attenuation relationships for Greece", Bull. Seismol. Soc. Am., 97(1), 162-183. https://doi.org/10.1785/0120050087
  15. Decanini, L. and Mollaioli, F. (1998), "Formulation of elastic earthquake input energy spectra", Earthq. Eng. Struct. Dyn., 27(13), 1503-1522. https://doi.org/10.1002/(SICI)1096-9845(199812)27:12<1503::AID-EQE797>3.0.CO;2-A
  16. Decanini, L. and Mollaioli, F. (2001), "An energy-based methodology for the assessment of seismic demand", Soil. Dyn. Earthq. Eng., 21(2), 113-137. https://doi.org/10.1016/S0267-7261(00)00102-0
  17. Fajfar, P. and Fischinger, M. (1990), "A seismic procedure including energy concept", 9th European Conference on Earthquake Engineering, Moscow, September, vol. 2, 312-321.
  18. Foulser-Piggott, R. and Stafford, P.J. (2012), "A predictive model for arias intensity at multiple sites and consideration of spatial correlations", Earthq. Eng. Struct. Dyn., 41(3), 431-451. https://doi.org/10.1002/eqe.1137
  19. Gong, M.S. and Xie, L.L. (2005), "Study on comparison between absolute and relative input energy spectra and effects of ductility factor", Acta. Seismol. Sin., 18(6), 717-726. https://doi.org/10.1007/s11589-005-0099-4
  20. Idriss, I. (2008), "An nga empirical model for estimating the horizontal spectral values generated by shallow crustal earthquakes", Earthq. Spectra, 24(1), 217-242. https://doi.org/10.1193/1.2924362
  21. Jayaram, N., Mollaioli, F., Bazzurro, P., De Sortis, A. and Bruno, S. (2010), "Prediction of structural response in reinforced concrete frames subjected to earthquake ground motions", Proceeding of the 9th US National and 10th Canadian Conference on Earthquake Engineering, Oakland, Canada, July.
  22. Kaklamanos, J., Baise, L.G. and Boore, D.M. (2011), "Estimating unknown input parameters when implementing the NGA ground-motion prediction equations in engineering practice", Earthq. Spectra, 27(4), 1219-1235. https://doi.org/10.1193/1.3650372
  23. Kalkan, E. and Kunnath, S.K. (2008), "Relevance of absolute and relative energy content in seismic evaluation of structures", Adv. Struct. Eng., 11(1), 17-34. https://doi.org/10.1260/136943308784069469
  24. Lopez-Almansa, F., Yazgan, A., Benavent-Climent, A. (2013), "Design energy input spectra for high seismicity regions based on Turkish registers", Bull. Earthq. Eng., 11(4), 885-912. https://doi.org/10.1007/s10518-012-9415-2
  25. Lucchini, A., Cheng, Y., Mollaioli, F. and Liberatore, L. (2013), "Predicting floor response spectra for rc frame structures", 4th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Kos, Greece, June.
  26. Lucchini, A., Mollaioli, F. and Monti, G. (2011), "Intensity measures for response prediction of a torsional building subjected to bi-directional earthquake ground motion", Bull. Earthq. Eng., 9(5), 1499-1518. https://doi.org/10.1007/s10518-011-9258-2
  27. Luco, N., Manuel, L, Baldava, S. and Bazzurro, P. (2005), "Correlation of damage of steel moment-resisting frames to a vector-valued ground motion parameter set that includes energy demands", USGS Award 03HQGR0057-03HQGR0106, Final Report.
  28. Manfredi, G. (2001), "Evaluation of seismic energy demand", Earthq. Eng. Struct. Dyn., 30(4), 485-499. https://doi.org/10.1002/eqe.17
  29. Mollaioli, F., Bruno, S., Decanini, L. and Saragoni, R. (2011), "Correlations between energy and displacement demands for performance-based seismic engineering", Pure Appl. Geophys., 168(1-2), 237-259. https://doi.org/10.1007/s00024-010-0118-9
  30. Mollaioli, F., Lucchini, A., Cheng, Y. and Monti, G. (2013), "Intensity measures for the seismic response prediction of base-isolated buildings", Bull. Earthq. Eng., 11(5), 1841-1866. https://doi.org/10.1007/s10518-013-9431-x
  31. Ozbey, C., Sari, A., Manuel, L., Erdik, M. and Fahjan, Y. (2004), "An empirical attenuation relationship for northwestern turkey ground motion using a random effects approach", Soil. Dyn. Earthq. Eng., 24(2), 115-125. https://doi.org/10.1016/j.soildyn.2003.10.005
  32. Pinheiro, J., Bates, D., DebRoy, S. and Sarkar, D. (2007), Linear and nonlinear mixed effects models. R package version 3:57
  33. Rezaeian, S., Bozorgnia, Y., Idriss, I.M., Campbell, K., Abrahamson, N. and Silva, W. (2012), "Spectral damping scaling factors for shallow crustal earthquakes in active tectonic regions", PEER Report 2012/01, Pacific Earthquake Engineering Research Center, University of California, Berkeley.
  34. Somerville, P.G., Smith, N.F., Graves, R.W. and Abrahamson, N.A. (1997), "Modification of empirical strong ground motion attenuation relations to include the amplitude and duration effects of rupture directivity", Seismol. Res. Lett., 68(1), 199-222. https://doi.org/10.1785/gssrl.68.1.199
  35. Takewaki, I. (2004), "Bound of earthquake input energy", J. Struct. Eng., 130(9), 1289-1297. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:9(1289)
  36. Takewaki, I. and Tsujimoto, H. (2011), "Scaling of design earthquake ground motions for tall buildings based on drift and input energy demands", Earthq. Struct., 2(2), 171-187. https://doi.org/10.12989/eas.2011.2.2.171
  37. Uang, C.M. and Bertero, V.V. (1990), "Evaluation of seismic energy in structures", Earthq. Eng. Struct. Dyn., 19(1), 77-90. https://doi.org/10.1002/eqe.4290190108
  38. Yakut, A. and Yilmaz, H. (2008), "Correlation of deformation demands with ground motion intensity", J. struct. Eng., 134(12), 1818-1828. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:12(1818)

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