Abstract
Seismic fragility analysis for bridges is an essential issue for risk assessment of transportation networks exposed to seismic hazards. Considering multiple Performance Limit States (PLSs) and seismic demand parameters, the study proposes a multidimensional fragility evaluation methodology for engineering structures, and the objective of the paper is to show that the uncertainty and dependence between seismic demand parameters should be considered for fragility analysis. Thus, a new Probabilistic Seismic Demand Model (PSDM) following multivariate logarithmic normal distribution is addressed. Taking PLS correlation into consideration, multidimensional PLS formula is constructed to identify the structural failure domain. A RC bridge is studied to show the proposed theory. To consider bridge column plastic deformation and bearing nonlinear characteristic, nonlinear dynamic analyses are carried out. The bridge multidimensional fragility curves are derived and compared with fragility curves for an individual component. Results indicate that uncertainty and dependence of demand parameters can be properly dealt with by the multivariate PSDM. The multidimensional fragility is higher than fragility of any individual component, and the bridge as a system is more fragile. The ignorance of multiple components contribution to the system will generate an overestimation for the whole structural performance, which is adverse to engineering structural safety.
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Argyroudis, S. and Kaynia, A. M. (2015). “Analytical seismic fragility functions for highway and railway embankments and cuts.” Earthquake Engineering & Structural Dynamics, Vol. 44, No. 1, pp. 1863–1879, DOI: 10.1002/eqe.2563.
Bayat, M. and Daneshjoo, F. (2015). “Seismic performance of skewed highway bridges using analytical fragility function methodology.” Computers and Concrete, Vol. 16, No. 5, pp. 723–740, DOI: 10.12989/cac.2015.16.5.723.
Bojórquez, E., Iervolino, I., Reyes-Salazar, A., and Ruiz, S. E. (2012). “Comparing vector-valued intensity measures for fragility analysis of steel frames in the case of narrow-band ground motions.” Engineering Structures, Vol. 45, No. 1, pp. 472–480, DOI: 10.1016/j.engstruct.2012.07.002.
Borekci, M. and Kircil, M. S. (2011). “Fragility analysis of R/C frame buildings based on different types of hysteretic model.” Structural Engineering and Mechanics, Vol. 39, No. 6, pp. 795–812, DOI: 10.12989/sem.2011.39.6.795.
Casciati, F., Cimellaro, G., and Domaneschi, M. (2008). “Seismic reliability of a cable-stayed bridge retrofitted with hysteretic devices.” Computers & Structures, Vol 86, Nos. 17–18, pp. 1769–1781, DOI: 10.1016/j.compstruc.2008.01.012.
Charvet, I., Suppasri, A., and Imamura, F. (2014). “Empirical fragility analysis of building damage caused by the 2011 Great East Japan tsunami in Ishinomaki city using ordinal regression, and influence of key geographical features.” Stochastic Environmental Research and Risk Assessment, Vol 28, No. 7, pp. 1853–1867, DOI: 10.1007/s00477-014-0850-2.
Choi, E., DesRoches, R., and Nielson, B. (2004). “Seismic fragility of typical bridges in moderate seismic zones.” Engineering Structures, Vol. 26, No. 2, pp. 187–199, DOI: 10.1016/j.engstruct.2003.09.006.
Cimellaro, G. P. and Reinhorn, A. M. (2010). “Multidimensional performance limit state for hazard fragility functions.” Journal of Engineering Mechanics, Vol. 137, No. 1, pp. 47–60, DOI: 137 10.1061/(ASCE)EM.1943-7889.0000201.
Cornell, C. A., Jalayer, F., Hamburger, R. O., and Foutch, D. A. (2002). “A probabilistic basis for 2000 SAC Federal Emergency Management Agency steel moment frame guidelines.” Journal of Structural Engineering-ASCE, Vol. 128, No. 4, pp. 526–533, DOI: 10.1061/(ASCE)0733-9445(2002)128:4(526).
Dezfuli, F. H. and Alam, M. S. (2017). “Effect of different steel-reinforced elastomeric isolators on the seismic fragility of a highway bridge.” Structural Control & Health Monitoring, Vol. 24, No. 2, DOI: 10.1002/stc.1866.
Ding, Y., Wu, M., Xu, L., and Li, Z. (2012). “Vulnerability curves-based seismic damage assessment of RC columns.” Engineering Mechanics, Vol. 29, No. 1, pp. 81–86.
Dutta, A. and Mander, J. B. (2001). “Rapid and detailed seismic fragility analysis of highway bridges.” Technical Report at Multidisciplinary Center for Earthquake Engineering Research, New York, USA.
Elnashai, A. S. and Di Sarno, L. (2015). Fundamentals of earthquake engineering, Wiley and Sons, UK.
Ghosh, J. and Sood, P. (2016). “Consideration of time-evolving capacity distributions and improved degradation models for seismic fragility assessment of aging highway bridges.” Reliability Engineering & System Safety, Vol. 154, pp. 197–218, DOI: 10.1016/j.ress.2016.06.001.
Kim, S. H. and Feng, M. Q. (2003). “Fragility analysis of bridges under ground motion with spatial variation.” International Journal of Non-Linear Mechanics, Vol. 38, No. 5, pp. 705–721, DOI: 10.1016/S0020-7462(01)00128-7.
Lin, L., Naumoski, N., Saatcioglu, M., and Foo, S. (2011). “Improved intensity measures for probabilistic seismic demand analysis. Part 2: application of the improved intensity measures.” Canadian Journal Of Civil Engineering, Vol. 38, No. 1, pp. 89–99, DOI: 10.1139/L10-111.
Lu, Y., Gu, X., and Guan, J. (2005). “Probabilistic drift limits and performance evaluation of reinforced concrete columns.” Journal of Structural Engineering, Vol. 131, No. 6, pp. 966–978, DOI: 10.1061/(ASCE)0733-9445(2005)131:6(966).
Mahmoudi, S. N. and Chouinard, L. (2016). “Seismic fragility assessment of highway bridges using support vector machines.” Bulletin Oof Earthquake Engineering, Vol. 14, No. 6, pp. 1571–1587, DOI: 10.1007/s10518-016-9894-7.
Munoz, A., Blondet, M., Aguilar, R., and Astorga, M. A. (2007). “Empirical fragility curves for Peruvian school buildings.” Wit Transactions on the Built Environment, Vol. 93, pp. 269–277, DOI: 10.2495/ERES070261.
Pan, Y., Agrawal, A. K., and Ghosn, M. (2007). “Seismic fragility of continuous steel highway bridges in New York State.” Journal of Bridge Engineering, Vol. 12, No. 6, pp. 689–699, DOI: 10.1061/(ASCE)1084-0702(2007)12:6(689).
Priestley, M. J. N., Seible, F., and Chai, Y. H. (1992). Design Guidelines for Assessment Retrofit and Repair of Bridges for Seismic Performance. San Diego: Dept. of Applied Mechanics & Engineering Sciences, University of California.
Retamales, R. (2008). New experimental capabilities and loading protocols for seismic fragility and qualification of nonstructural components, Doctor of Philosophy, The State University of New York at Buffalo, Buffalo.
Shinozuka, M. and Banerjee, S. (2005). Damage Modeling of Reinforced Concrete Bridges, Tri-Center Meeting on Transportation Networks.
Shome, N., Cornell, C. A., Bazzurro, P., and Carballo, J. E. (1998). “Earthquakes records and nonlinear responses.” Earthquake Spectra, Vol. 14, No. 3, pp. 476–500, DOI: 10.1193/1.1586011.
Ucar, T. and Duzgun, M. (2013). “Derivation of analytical fragility curves for RC buildings based on nonlinear pushover analysis.” Teknik Dergi, Vol. 24, No. 3, pp. 6421–6446.
Yazgan, U. (2015). “Empirical seismic fragility assessment with explicit modeling of spatial ground motion variability.” Engineering Structures, Vol. 100, pp. 479–489, DOI: 10.1016/j.engstruct.2015.06.027.
Zampieri, P., Zanini, M. A., and Faleschini, F. (2016). “Derivation of analytical seismic fragility functions for common masonry bridge types: Methodology and application to real cases.” Engineering Failure Analysis, Vol. 68, pp. 275–291, DOI: 10.1016/j.engfailanal.2016.05.031.
Zentner, I. (2017). “A general framework for the estimation of analytical fragility functions based on multivariate probability distributions.” Structural Safety, Vol. 64, pp. 54–61, DOI: 10.1016/j.strusafe.2016.09.003.
Zhang, Y., Fan, J., and Fan, W. (2016). “Seismic fragility analysis of concrete bridge piers reinforced by steel fibers.” Advances in Structural Engineering, Vol. 19, No. 5, pp. 837–848, DOI: 10.1177/1369433216630440.
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Wang, Q., Wu, Z. & Liu, S. Multivariate Probabilistic Seismic Demand Model for the Bridge Multidimensional Fragility Analysis. KSCE J Civ Eng 22, 3443–3451 (2018). https://doi.org/10.1007/s12205-018-0414-y
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DOI: https://doi.org/10.1007/s12205-018-0414-y