A Three Elements Vector Valued Structure’s Ultimate Strength-Strong Motion-Intensity Measure
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33122
A Three Elements Vector Valued Structure’s Ultimate Strength-Strong Motion-Intensity Measure

Authors: A. Nicknam, N. Eftekhari, A. Mazarei, M. Ganjvar

Abstract:

This article presents an alternative collapse capacity intensity measure in the three elements form which is influenced by the spectral ordinates at periods longer than that of the first mode period at near and far source sites. A parameter, denoted by β, is defined by which the spectral ordinate effects, up to the effective period (2T1), on the intensity measure are taken into account. The methodology permits to meet the hazard-levelled target extreme event in the probabilistic and deterministic forms. A MATLAB code is developed involving OpenSees to calculate the collapse capacities of the 8 archetype RC structures having 2 to 20 stories for regression process. The incremental dynamic analysis (IDA) method is used to calculate the structure’s collapse values accounting for the element stiffness and strength deterioration. The general near field set presented by FEMA is used in a series of performing nonlinear analyses. 8 linear relationships are developed for the 8structutres leading to the correlation coefficient up to 0.93. A collapse capacity near field prediction equation is developed taking into account the results of regression processes obtained from the 8 structures. The proposed prediction equation is validated against a set of actual near field records leading to a good agreement. Implementation of the proposed equation to the four archetype RC structures demonstrated different collapse capacities at near field site compared to those of FEMA. The reasons of differences are believed to be due to accounting for the spectral shape effects.

Keywords: Collapse capacity, fragility analysis, spectral shape effects, IDA method.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1109389

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1798

References:


[1] A. J. Papazoglou, and A. S. Elnashai, “Analytical and field evidence of the damaging effect of vertical earthquake ground motion,” Earthquake Engineering & Structural Dynamics, vol. 25, 1996, pp.1109–1137.
[2] S. J. Kim, and A. S. Elnashai, “Seismic assessment of RC structures considering vertical ground motion,” MAE Center Report No. 08-03, Mid-America Earthquake Center, University of Illinois, Urbana Champagne, IL, 2008.
[3] J. W. Baker, and C. A. Cornell, “Vector-valued intensity measures for pulse-like near-fault ground motions,” Engineering Structures, vol. 30(4), 2008, pp. 1048-1057.
[4] J. W. Baker, and C. A. Cornell, “Spectral shape, epsilon and record selection,” Earthquake Engineering and Structural Dynamics, vol. 35(9), 2006, pp. 1077-1095.
[5] Champion, Casey, and A. Liel. “The effect of near-fault directivity on building seismic collapse risk,” Earthquake Engineering and Structural Dynamics, 2012. DOI: 10.1002/eqe.1188.
[6] C. B. Haselton, J. W. Baker, A. B. Liel, and G. G. Deierlein, “Accounting for GroundMotion Spectral Shape Characteristics in Structural Collapse Assessment through an Adjustment for Epsilon.” Journal of Structural Engineering, American Society of Civil Engineers, vol. 137(3), 2011, pp. 332–344.
[7] FEMA P695. Quantification of Building Seismic Performance Factors, Federal Emergency Management Agency, Washington, DC, 2009.
[8] P. Tothong, C. A. Cornell, and J. W. Baker, “Explicit Directivity-Pulse Inclusion in Probabilistic Seismic Hazard Analysis,” Earthquake Spectra; vol. 23(4), 2007, pp. 867–891.
[9] J. W. Baker, and C. A. Cornell, “A vector-valued ground motion intensity measure consisting of spectral acceleration and epsilon,” Earthquake Engineering & Structural Dynamics, vol. 34(10), 2005a, pp.1193–217.
[10] N. Luco, and C. A. Cornell, “Structure-specific scalar intensity measures for near-source and ordinary earthquake ground motions,” Earthquake Spectra, vol. 23(2), 2007, pp. 357–92.
[11] C. B. Haselton, and J. W. Baker, “Ground motion intensity measures for collapse capacity prediction: Choice of optimal spectral period and effect of spectral shape,: in 8th National Conference on Earthquake Engineering, 2006. San Francisco, California.
[12] C. Goulet, C. B. Haselton, J. Mitrani-Reiser, J. Beck, G. G. Deierlein,. A. Porter, and J. Stewart, “Evaluation of the Seismic Performance of a Code-Conforming Reinforced-Concrete Frame Building - from Seismic Hazard to Collapse Safety and Economic Losses,” Earthquake Engineering and Structural Dynamics, vol. 36(13), 2007, pp.1973-1997.
[13] J. W. Baker, and C. A. Cornell, “Vector-valued ground motion intensity measures for probabilistic seismic demand analysis,” Report #150. Stanford (CA): John A. Blume Earthquake Engineering Center; 2005b. 321p.
[14] A. Nicknam, and Y. Eslamian, “A hybrid method for simulating nearsource, broadband seismograms: Application to the 2003 Bam earthquake (Mw 6.5)”, Tectonophysics, vol. 487, No. 1, 2010, pp. 46- 58.
[15] A. Nicknam, and Y. Eslamian, “An EGF-based methodology for predicting compatible seismograms in the spectral domain using GA technique,” Geophysical Journal International, vol. 185, No. 1, 2011, pp. 557- 573.
[16] A. Nicknama, M. Issab, A. Yazdanic, S. Yaghmaei-Sabeghd, and Y. Eslamian, “Predicting Seismogram at Far Source Site Using Omega- Squared Source Spectrum Model”, Journal of Earthquake Engineering, Vol. 16, No. 1, 2012, pp. 105- 124.
[17] P. G. Somerville, N. F. Smith, R. W. Graves, and N. A. Abrahamson, “Modification of empirical strong ground motion attenuation relations to include the amplitude and duration effects of rupture directivity,” Seismological Research Letters, vol. 68(1), 1997, pp. 199–222.
[18] N. A. Abrahamson, “Effects of rupture directivity on probabilistic seismic hazard analysis,” Paper presented at the sixth international conference seismic zonation, Oakland, California, 2000.
[19] S. Shahi and J. W. Baker. “An empirically calibrated framework for including the effects of near-fault directivity in probabilistic seismic hazard analysis,” Bulletin of the Seismological Society of America, vol. 101(2), 2011, pp. 742–755.
[20] M. Yousefi and T. Taghikhany, “Incorporation of directivity effect in probabilistic seismic hazard analysis and disaggregation of Tabriz city,” Nat Hazards, vol. 73, 2014, pp. 277–301.
[21] N. A. Abrahamson, and W. J. Silva, “Empirical response spectral attenuation relations for shallow crustal earthquake,” Seismological Research Letters, vol. 68(1), 1997, pp. 94-126.
[22] F. McKenna, G. L. Fenves, and M. H. Scott, OpenSees: open system for earthquake engineering simulation, Pacific Earthquake Engineering Research Center. University of California, Berkeley, CA, USA, 2004.
[23] L. F. Ibarra, R. A. Medina, and H. Krawinkler, “Hysteretic models that incorporate strength and stiffness deterioration,” Earthquake Engineering and Structural Dynamics, vol. 34(12), 2005, pp. 1489– 1151.