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Characterization and modeling of near-fault pulse-like strong ground motion via damage-based critical excitation method

  • Moustafa, Abbas (Department of Civil Engineering, Minia University) ;
  • Takewaki, Izuru (Department of Urban & Environmental Engineering, Graduate School of Engineering, Kyoto University)
  • Received : 2009.03.13
  • Accepted : 2010.01.13
  • Published : 2010.04.20

Abstract

Near-fault ground motion with directivity or fling effects is significantly influenced by the rupture mechanism and substantially different from ordinary records. This class of ground motion has large amplitude and long period, exhibits unusual response spectra shapes, possesses high PGV/PGA and PGD/PGA ratios and is best characterized in the velocity and the displacement time-histories. Such ground motion is also characterized by its energy being contained in a single or very few pulses, thus capable of causing severe damage to the structures. This paper investigates the characteristics of near-fault pulse-like ground motions and their implications on the structural responses using new proposed measures, such as, the effective frequency range, the energy rate (in time and frequency domains) and the damage indices. The paper develops also simple mathematical expressions for modeling this class of ground motion and the associated structural responses, thus eliminating numerical integration of the equations of motion. An optimization technique is also developed by using energy concepts and damage indices for modeling this class of ground motion for inelastic structures at sites having limited earthquake data.

References

  1. Abbas, A.M. (2006), "Critical seismic load inputs for simple inelastic structures", J. Sound Vib., 296, 949-967. https://doi.org/10.1016/j.jsv.2006.03.021
  2. Abbas, A.M. and Manohar, C.S. (2002), "Investigations into critical earthquake load models within deterministic and probabilistic frameworks", Earthq. Eng. Struct. D., 31, 813-832. https://doi.org/10.1002/eqe.124
  3. Abbas, A.M. and Manohar, C.S. (2007), "Reliability-based vector nonstationary random critical earthquake excitations for parametrically excited systems", Struct. Saf., 29, 32-48. https://doi.org/10.1016/j.strusafe.2005.11.003
  4. Akiyama, H. (1985), Earthquake-resistant Limit-state Design for Buildings, University of Tokyo Press, Tokyo.
  5. Anderson, J. and Bertero, V. (1987), "Uncertainties in establishing design earthquakes", J. Struct. Eng-ASCE, 113(8), 1709-1724. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:8(1709)
  6. Arias, A. (1970), A Measure of Earthquake Intensity: Seismic Design of Nuclear Power Plants, MIT press, Cambridge.
  7. Arora, J.S. (2004), Introduction to Optimum Design, Elsevier Academic Press, San Diego.
  8. Bray, J.D. and Rodriguez-Marek, A. (2004), "Characterization of forward-directivity ground motions in the nearfault region", Soil Dyn. Earthq. Eng., 24, 815-828. https://doi.org/10.1016/j.soildyn.2004.05.001
  9. Caleman, T., Branch, M.A. and Grace, A. (1999), Optimization Toolbox for the Use with Matlab, User's Guide, The Math Works Inc., USA.
  10. Chai, Y.H. and Fajfar, P. (2000), "A procedure for estimating input energy spectra for seismic design", J. Earthq. Eng., 4(4), 39-561.
  11. Cosenza, C., Manfredi, G. and Ramasco, R. (1993), "The use of damage functionals in earthquake engineering: a comparison between different methods", Earthq. Eng. Struct. D., 22, 855-868. https://doi.org/10.1002/eqe.4290221003
  12. Fujita, K., Moustafa, A. and Takewaki, I. (2010), "Optimal placement of viscoelastic dampers and supporting members under variable critical excitations", Earthq. Struct., 1(1), 43-67. https://doi.org/10.12989/eas.2010.1.1.043
  13. Ghobara, A., Abou-Elfath, H. and Biddah, A. (1999), "Response-based damage assessment of structures", Earthq. Eng. Struct. D., 28, 79-104. https://doi.org/10.1002/(SICI)1096-9845(199901)28:1<79::AID-EQE805>3.0.CO;2-J
  14. Hall, J.H., Heaton, T.H., Halling, M.W. and Wald, D.J. (1995), "Near-source ground motion and its effect on flexible buildings", Earthq. Spectra, 11, 569-605. https://doi.org/10.1193/1.1585828
  15. He, W.L. and Agrawal, A.K. (2008), "Analytical model of ground motion pulses for the design and assessment of seismic protective systems", J. Struct. Eng-ASCE, 134(7), 1177-1188. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:7(1177)
  16. Heaton, T.H., Hall, J.H., Wald, D.J. and Halling, M.W. (1995), "Response of high-rise and base-isolated buildings in a hypothetical MW 7.0 blind thrust earthquake", Science, 267, 206-211. https://doi.org/10.1126/science.267.5195.206
  17. Hough, S.E. and Bilham, R.G. (2006), After the Earth Quakes: Elastic Rebound on an Urban Planet, Oxford University Press, NY.
  18. Housner, G.W. and Hudson, D.E. (1958), "The Port Hueneme earthquake of March 18, 1957", B. Seismol. Soc. Am., 48(2), 163-168.
  19. Housner, G.W. (1970), Strong Ground Motion: Earthquake engineering, (Ed. Wiegel, R.L.), Prentice Hall, NJ.
  20. Housner, G.W. and Trifunac, M.D. (1967), "Analysis of accelerograms-Parkfield earthquake", B. Seismol. Soc. Am., 57(6), 1193-1220.
  21. Housner, G.W. and Jennings, P.C. (1977), "The capacity of extreme earthquake motions to damage structures", Structural and Geotechnical Mechanics, A volume honoring N.M. Newmark, Prentice-Hall Englewood Cliff, 102-116.
  22. Makris, N. (1997), "Rigidity-plasticity-viscosity: Can electrorheological dampers protect base-isolated structures from near-source ground motions?", Earthq. Eng. Struct. D., 26, 571-591. https://doi.org/10.1002/(SICI)1096-9845(199705)26:5<571::AID-EQE658>3.0.CO;2-6
  23. Moustafa, A. (2009), "Critical earthquake load inputs for multi-degree-of-freedom inelastic structures", J. Sound Vib., 325(3), 532-544. https://doi.org/10.1016/j.jsv.2009.03.022
  24. Moustafa, A. (2010), "Discussion of analytical model of ground motion pulses for the design and assessment of seismic protective systems", J. Struct. Eng-ASCE, 136(2), 229-230. https://doi.org/10.1061/(ASCE)ST.1943-541X.134
  25. Moustafa, A. and Takewaki, I. (2010), "Deterministic and probabilistic representation of near-field pulse-like ground motion", Soil Dyn. Earthq. Eng., 30(5), 412-422. https://doi.org/10.1016/j.soildyn.2009.12.013
  26. Pacific Earthquake Engineering Research Center (2005), http://peer.berkeley.edu
  27. Park, Y.J., Ang, A.H.S. and Wen, Y.K. (1985), "Seismic damage analysis of reinforced concrete buildings", J. Struct. Eng-ASCE, 111(4), 740-757. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:4(740)
  28. Powell, G.H. and Allahabadi, R. (1988), "Seismic damage predictions by deterministic methods: concepts and procedures", Earthq. Eng. Struct. D., 16, 719-734. https://doi.org/10.1002/eqe.4290160507
  29. Shinozuka, M. (1970), "Maximum structural response to seismic excitations", J. Eng. Mech., 96, 729-738.
  30. Takewaki, I. (2001), "Probabilistic critical excitation for MDOF elastic-plastic structures on compliant ground", Earthq. Eng. Struct. D, 30, 1345-1360. https://doi.org/10.1002/eqe.66
  31. Takewaki, I. (2002), "Seismic critical excitation method for robust design: A review", J. Struct. Eng-ASCE, 128, 665-672. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:5(665)
  32. Takewaki, I. (2004), "Bound of earthquake input energy", J. Struct. Eng-ASCE, 130, 1289-1297. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:9(1289)
  33. Takewaki, I. (2006), "Probabilistic critical excitation method for earthquake energy input rate", J. Eng. Mech., 132(9), 990-1000. https://doi.org/10.1061/(ASCE)0733-9399(2006)132:9(990)
  34. Takewaki, I. (2007), Critical Excitation Methods in Earthquake Engineering, Elsevier, Amsterdam.
  35. Takewaki, I. (2009), Building Control with Passive Dampers: Optimal Performance-based Design for Earthquakes, John Wiley & Sons (Asia), Singapore.
  36. Tan, P., Agrawal, A.K. and Pan, Y. (2005), "Near-field effects on seismically excited highway bridge equipped with nonlinear viscous dampers", Bridge Struct., 1(3), 307-318. https://doi.org/10.1080/15732480500272718
  37. Trifunac, M.D. (2005), "Power design method", Proceedings of Earthquake Engineering in the 21st Century to Mark 40th Anniversary of IZIIS-Skopje, Macedonia, Skopje and Ohrid, August.
  38. Trifunac, M.D. (2008), "Energy of strong motion at earthquake source", Soil Dyn. Earthq. Eng., 28, 1-6. https://doi.org/10.1016/j.soildyn.2007.06.009
  39. Trifunac, M.D. and Brady, A.G. (1975), "A study on the duration of strong earthquake ground motion", B. Seismol. Soc. Am., 65(3), 581-626.
  40. Uang, C.M. and Bertero, V.V. (1990), "Evaluation of seismic energy in structures", Earthq. Eng. Struct. D., 19, 77-90. https://doi.org/10.1002/eqe.4290190108
  41. Vanmarcke, E.H. (1972), "Properties of spectral moments with applications to random processes", J. Eng. Mech., 42, 215-220.
  42. Vanmarcke, E.H. (1976), Structural Response to Earthquakes: Seismic Risk and Engineering Decisions, (Eds. Lomnitz, C. and Rosenbluth, E.), Elsevier, NY.
  43. Zhang, J. and Makris, N. (2001), "Rocking of free-standing blocks under cycloidal pulses", J. Eng. Mech., 127(5), 473-483. https://doi.org/10.1061/(ASCE)0733-9399(2001)127:5(473)
  44. Zahrah, T.F. and Hall, W.J. (1984), "Earthquake energy absorption in sdof structures", J. Struct. Eng-ASCE, 110, 1757-1772. https://doi.org/10.1061/(ASCE)0733-9445(1984)110:8(1757)

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