Abstract
Structural seismic vulnerability assessment is one of the key steps in a seismic risk management process. Structural vulnerability can be assessed using the concept of fragility. Structural fragility is the probability for a structure to sustain a given damage level for a given input ground motion intensity, which is represented by so-called fragility curves or surfaces. In this work, we consider a moment-resisting reinforced concrete frame structure in the area of the Cascadia subduction zone, that is in the South-West of Canada and the North-West of the USA. According to shaking table tests, we first validate the capability of an inelastic fiber beam/column element, using a recently developed concrete constitutive law, for representing the seismic behavior of the tested frame coupled to either a commonly used Rayleigh damping model or a proposed new model. Then, for each of these two damping models, we proceed to a structural fragility analysis and investigate the amount of uncertainty to be induced by damping models.
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Henri Poincaré (1854–1912) is a French mathematician, physician and philosopher. This year is the hundredth anniversary of his death.
References
Howard, H.H.M., Huo, J.-R.: Generation of hazard-consistent fragility curves. Soil Dyn. Earthq. Eng. 13(5), 345–354 (1994)
Jalayer, F., Beck, J.L.: Effects of two alternative representations of ground-motion uncertainty on probabilistic seismic demand assessment of structures. Earthquake Eng. Struct. Dyn. 37, 61–79 (2008)
Rosic, B.V., Matthies, H.G., Zikovic, M., Ibrahimbegovic, A.: Formulation and computational application of inelastic media with uncertain parameters. In: Oñate, E., Owen, D.R.J. (eds.) Proceedings of the 10th International Conference on Computational Plasticity (COMPLAS X), CIMNE, Barcelona (2009)
Kafali, C., Grigoriu, M.: Seismic fragility analysis: application to simple linear and nonlinear systems. Earthquake Eng. Struct. Dyn. 36, 1885–1900 (2007)
Seyedi, D.M., Gehl, P., Douglas, J., Davenne, L., Mezher, N., Ghavamian, S.: Development of seismic fragility surfaces for reinforced concrete buildings by means of nonlinear time-history analysis. Earthquake Eng. Struct. Dyn. 39, 91–108 (2010)
Sáez, E., Lopez-Caballero, F., Modaressi-Farahmand-Razavi, A.: Effect of the inelastic dynamic soil-structure interaction on the seismic vulnerability assessment. Struct. Saf. 33(1), 51–63 (2011)
Saxena, V., Deodatis, G., Shinozuka, M., Feng, M.Q.: Development of fragility curves for multi-span reinforced concrete bridges. In: Proceedings of International Conference on Monte Carlo Simulation, Monte-Carlo, Monaco (2000)
Popescu, R., Prevost, J.H., Deodatis, G.: 3d effects in seismic liquefaction of stochastically variable soil deposits. Géotechnique 55(1), 21–31 (2005)
Lagaros, N.D.: Probabilistic fragility analysis: a tool for assessing design rules of rc buildings. Earthq. Eng. Eng. Vib. 7(1), 45–56 (2008)
Ellingwood, B.R.: Earthquake risk assessment of building structures. Reliab. Eng. Syst. Saf. 74, 251–262 (2001)
Léger, P., Dussault, S.: Seismic-energy dissipation in MDOF structures. J. Struct. Eng. 118(6), 1251–1267 (1992)
Hall, J.F.: Problems encountered from the use (or misuse) of Rayleigh damping. Earthquake Eng. Struct. Dyn. 35, 525–545 (2006)
Charney, F.A.: Unintended consequences of modeling damping in structures. J. Struct. Eng. 134(4), 581–592 (2008)
Associate Committee on the National Building Code: National building code of Canada. Technical report, National Research Council of Canada, Ottawa, Ontario, Canada (1995)
Design of concrete structures for buildings. Standard CAN-A23.3-94, Canadian Standards Association, Rexdale, Ontario, Canada (1994)
Filiatrault, A., Lachapelle, É., Lamontagne, P.: Seismic performance of ductile and nominally ductile reinforced concrete moment resisting frames. I. Experimental study. Can. J. Civ. Eng. 25, 331–341 (1998)
Jehel, P., Davenne, L., Ibrahimbegovic, A., Léger, P.: Towards robust viscoelastic-plastic-damage material model with different hardenings/softenings capable of representing salient phenomena in seismic loading applications. Comput. Concr. 7(4), 365–386 (2010)
Germain, P., Nguyen, Q.S., Suquet, P.: Continuum thermodynamics. J. Appl. Mech. 50, 1010–1020 (1983)
Maugin, G.A.: The Thermodynamics of Nonlinear Irreversible Behaviors—An Introduction. World Scientific, Singapore (1999)
Garikipati, K., Hughes, T.J.R.: A study of strain localization in a multiple scale framework—the one-dimensional problem. Comput. Methods Appl. Mech. Eng. 159, 193–222 (1998)
Ibrahimbegovic, A., Brancherie, D.: Combined hardening and softening constitutive model of plasticity: precursor to shear slip line failure. Comput. Mech. 31, 89–100 (2003)
Oliver, J., Huespe, A.E.: Theoretical and computational issues in modelling material failure in strong discontinuity scenarios. Comput. Methods Appl. Mech. Eng. 193, 2987–3014 (2004)
Taylor, R.L.: FEAP: A Finite Element Analysis Program, User Manual and Programmer Manual, Version 7.4. University of California Press, Berkeley (2005)
Applied Technology Council: Quantification of building seismic performance factors. Technical Report FEMA P695, Federal Emergency Management Agency, Washington, DC (June 2009)
Applied Technology Council: Modeling and acceptance criteria for seismic design and analysis of tall buildings. Technical Report PEER 2010/111 or PEER/ATC-72-1, Pacific Earthquake Engineering Research Center, Richmond, CA (October 2010)
Krawinkler, H.: Importance of good nonlinear analysis. Struct. Des. Tall Spec. Build. 15, 515–531 (2006)
Ragueneau, F., La Borderie, C., Mazars, J.: Damage model for concrete-like materials coupling cracking and friction, contribution towards structural damping: first uniaxial applications. Mech. Cohes.-Frict. Mater. 5, 607–625 (2000)
Tinawi, R., Léger, P., Leclerc, M., Cipolla, G.: Seismic safety of gravity dams: from shake table experiments to numerical analyses. J. Struct. Eng. 126(4), 518–529 (2000)
Luu, H., Ghorbanirenani, I., Léger, P., Tremblay, R.: Structural dynamics of slender ductile reinforced concrete shear walls. In: EURODYN 2011 (2011)
Filiatrault, A., Lachapelle, É., Lamontagne, P.: Seismic performance of ductile and nominally ductile reinforced concrete moment resisting frames. II. Analytical study. Can. J. Civ. Eng. 25, 342–351 (1998)
CSI: Perform3D User’s manual. Technical report, California (2007)
Arias, A.: A measure of earthquake intensity. In: Seismic Design for Nuclear Power Plants, pp. 438–483. MIT Press, Cambridge (1970)
Bommer, J.J., Acevedo, A.B.: The use of real earthquake accelerograms as input to dynamic analysis. J. Earthq. Eng. 8(S1), 43–91 (2004)
Users manual for the PEER ground motion database web application. Technical report, Pacific Earthquake Engineering Research Center (November 2011)
Baker, G.E., Langston, C.: Source parameters of the 1949 magnitude 7.1 South Puget Sound, Washington, earthquake as determined from long-period body waves and strong ground motion. Bull. Seismol. Soc. Am. 77, 1530–1557 (1987)
Silva, W.J., Wong, I.G., Darragh, R.B.: Engineering characterization of earthquake strong motions in the Pacific Northwest. In: Assessing Earthquake Hazards and Reducing Risk in the Pacific Northwest, vol. 2. U.S. Geological Survey Professional Paper 1560, pp. 313–324. United States Government Printing Office, Washington (1998)
Saragoni, G.R., Concha, P.: Damaging capacity of Cascadia subduction earthquakes compared with Chilean subduction. In: 13th World Conference on Earthquake Engineering, Vancouver, BC, Canada, August 1–6 (2004)
Wiest, K.R., Doser, D.I., Velasco, A.A., Zollweg, J.: Source investigation and comparison of the 1939, 1946, 1949 and 1965 earthquakes, Cascadia subduction zone, western Washington. Pure Appl. Geophys. 164, 1905–1919 (2007)
Shinozuka, M., Feng, M.Q., Jongheon, L., Naganuma, T.: Statistical analysis of fragility curves. J. Eng. Mech. 126(12), 1224–1231 (2000)
Poincaré, H.: Calcul des Probabilités. Cours de la Faculté des Sciences de Paris—Cours de Physique mathématique, 2nd edn. Gauthier-Villars, Paris (1912) (in French)
Léger, P., Kervégant, G., Tremblay, R.: Incremental dynamic analysis of nonlinear structures: selection of input ground motions. In: Proceedings of the 9th U.S. National and 10th Canadian Conference on Earthquake Engineering, Toronto, Ontario, Canada, July 25–29 (2010)
Bommer, J., Magenes, G., Hancock, J., Penazzo, P.: The influence of strong-motion duration on the seismic response of masonry structures. Bull. Earthq. Eng. 2, 1–26 (2004). doi:10.1023/B:BEEE.0000038948.95616.bf
Park, Y.J., Ang, A.H.S., Wen, Y.K.: Seismic damage analysis of reinforced concrete buildings. J. Struct. Eng. 111(4), 740–757 (1985)
Castiglioni, C.A., Pucinotti, R.: Failure criteria and cumulative damage models for steel components under cyclic loading. J. Constr. Steel Res. 65, 751–765 (2009)
Acknowledgements
The authors thank Pr. André Filiatrault for providing the data from the shaking table tests used in this work. The first author benefited from partial funding from Électricité de France (EDF) within the research project “MARS” (“Modèles Avancés pour le Risque Sismique”).
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Jehel, P., Léger, P., Ibrahimbegovic, A. (2013). Structural Seismic Fragility Analysis of RC Frame with a New Family of Rayleigh Damping Models. In: Papadrakakis, M., Stefanou, G., Papadopoulos, V. (eds) Computational Methods in Stochastic Dynamics. Computational Methods in Applied Sciences, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5134-7_16
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