Empirical equations for the prediction of the equivalent number of cycles of earthquake ground motion

Soil Dynamics and Earthquake Engineering

Volumn 29, Issue 11-12, 2009, Pages 1425-1436

  Stafford, Peter J ^a   Bommer, Julian J ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Duration; Effective number of cycles; Ground motion prediction equations; Strong ground motion

Indexed keywords

ACCELEROGRAM; DURATION; EARTHQUAKE GROUND MOTIONS; EARTHQUAKE SCENARIO; EFFECTIVE NUMBER OF CYCLES; EMPIRICAL EQUATIONS; GEOTECHNICAL APPLICATION; GROUND MOTIONS; GROUND-MOTION PREDICTION EQUATIONS; LIQUEFACTION HAZARDS; NUMBER OF CYCLES; RAINFLOW; RELATIVE AMPLITUDE; SEISMICALLY INDUCED LANDSLIDE; SITE CLASSIFICATION; STRONG GROUND MOTION; STRONG-MOTION;

EARTHQUAKE EFFECTS; EARTHQUAKE RESISTANCE; INFORMATION DISSEMINATION;

EQUATIONS OF MOTION;

DATABASE; EARTHQUAKE ENGINEERING; EMPIRICAL ANALYSIS; GROUND MOTION; LANDSLIDE; LIQUEFACTION; PREDICTION; SEISMIC HAZARD;

EID: 67651124809     PISSN: 02677261     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.soildyn.2009.05.001     Document Type: Article

References (27)

1. Abrahamson N., and Silva W. Summary of the Abrahamson & Silva NGA ground-motion relations. Earthquake Spectra 24 1 (2008) 67-97
2. Baker J.W., and Cornell C.A. Which spectral acceleration are you using?. Earthquake Spectra 22 2 (2006) 293-312
3. Bazzurro P, Cornell CA. Vector-valued probabilistic seismic hazard analysis (VPSHA). In: Proceedings of the Seventh US National Conference on Earthquake Engineering, Boston, Massachusetts, 2002.
4. Beyer K., and Bommer J.J. Relationships between median values and between aleatory variabilities for different definitions of the horizontal component of motion. Bulletin of the Seismological Society of America 96 4A (2006) 1512-1522 [Erratum 97(5), 1769]
5. Bird J.F., and Bommer J.J. Earthquake losses due to ground failure. Engineering Geology 75 2 (2004) 147-179
6. Bommer J.J., Hancock J., and Alarcón J.E. Correlations between duration and number of cycles of earthquake ground motion. Soil Dynamics and Earthquake Engineering 26 1 (2006) 1-13
7. Bommer J.J., and Martinez-Pereira A. The effective duration of earthquake strong motion. Journal of Earthquake Engineering 3 2 (1999) 127-172
8. Bommer J.J., and Mendis R. Scaling of spectral displacement ordinates with damping ratios. Earthquake Engineering and Structural Dynamics 34 2 (2005) 145-165
9. Bommer J.J., Stafford P.J., Alarcón J.E., and Akkar S. The influence of magnitude range on empirical ground-motion prediction. Bulletin of the Seismological Society of America 97 6 (2007) 2152-2170
10. Boore D.M., Joyner W.B., and Fumal T.E. Equations for estimating horizontal response spectra and peak acceleration from western North American earthquakes: a summary of recent work. Seismological Research Letters 68 1 (1997) 128-153
11. Boore D.M. Erratum: equations for estimating horizontal response spectra and peak acceleration from western North American earthquakes: a summary of recent work. Seismological Research Letters 76 3 (2005) 368-369
12. Chiou B., Darragh R., Gregor N., and Silva W. NGA project strong-motion database. Earthquake Spectra 24 1 (2008) 23-44
13. Hancock J., and Bommer J.J. The effective number of cycles of earthquake ground motion. Earthquake Engineering and Structural Dynamics 34 6 (2005) 637-664
14. Hancock J., and Bommer J.J. A state-of-knowledge review of the influence of strong-motion duration on structural damage. Earthquake Spectra 22 3 (2006) 827-845
15. Liu A.H., Stewart J.P., Abrahamson N.A., and Moriwaki Y. Equivalent number of uniform stress cycles for soil liquefaction analysis. Journal of Geotechnical and Geoenvironmental Engineering 127 12 (2001) 1017-1026
16. Malhotra P.K. Cyclic-demand spectrum. Earthquake Engineering and Structural Dynamics 31 (2002) 1441-1457
17. Pinheiro J, Bates D, DebRoy S, Sarkar D, the R Core team. nlme: linear and nonlinear mixed effects models. R package version 3.1-89, 2008.
18. R Development Core Team, R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, URL: 〈http://www.R-project.org〉, 2008.
19. Seed H.B., and Idriss I.M. Simplified procedure for evaluating soil liquefaction potential. Journal of the Soil Mechanics and Foundations Division-ASCE 97 SM9 (1971) 1249-1273
20. Somerville P.G., Smith N.F., Graves R.W., and Abrahamson N.A. Modification of empirical strong ground motion attenuation relations to include the amplitude and duration effects of rupture directivity. Seismological Research Letters 68 1 (1997) 199-222
21. Somerville PG, Pitarka A. Differences in earthquake source and ground motion characteristics between surface and buried faulting earthquakes. In: Eighth US National Conference on Earthquake Engineering, San Francisco, CA, 2006.
22. Spudich P., and Chiou B.S.J. Directivity in NGA earthquake ground motions: analysis using isochrone theory. Earthquake Spectra 24 1 (2008) 279-298
23. Stafford P.J., Strasser F.O., and Bommer J.J. An evaluation of the applicability of the NGA models to ground-motion prediction in the Euro-Mediterranean region. Bulletin of Earthquake Engineering 6 2 (2008) 149-177
24. Stafford P.J., Mendis R., and Bommer J.J. Dependence of damping correction factors for response spectra on duration and numbers of cycles. Journal of Structural Engineering-ASCE 134 8 (2008) 1364-1373
25. Stafford P.J., Berrill J.B., and Pettinga J.R. New predictive equations for Arias intensity from crustal earthquakes in New Zealand. Journal of Seismology 13 1 (2009) 31-52
26. ASTM. Cycle counting in fatigue analysis. Annual Book of ASTM Standards 1985; vol. 03.01., Designation E1049-85.
27. Green R.U., and Terri G.A. Number of equivalent cycles concept for liquefaction evaluations-revisited. Journal of Geotechnical and Geoenvironmental Engineering 131 4 (2005) 477-488