The impact of modelling uncertainties on the seismic performance assessment of reinforced concrete frame buildings

Abstract Simplified procedures have been used for the estimation of seismic response parameters by considering the epistemic uncertainties for an older reinforced concrete frame, and for two contemporary reinforced concrete structures. The simplifications in the procedure are associated with a simplified nonlinear method and models for the assessment of the seismic performance of the structure, whereas the effects of the epistemic uncertainty are treated by using the first-order-second-moment (FOSM) method, and the latin hypercube sampling (LHS) technique. The results of sensitivity analysis reveal that it is those parameters which affect the collapse mechanism and have a high coefficient of variation that have the greatest impact on the seismic response parameters for the near collapse limit state. The results of uncertainty analysis by using the LHS technique showed that epistemic uncertainties have an effect on the dispersion, and also on the median estimates of the response parameters. For all three example structures a reduction in the estimate for the median peak ground acceleration at the near-collapse limit state was observed. Thus, explicit consideration of epistemic uncertainties in the process of the assessment of structural performance can lead to more accurate results, and consequently also to more reliable assessment of seismic risk.

[1]  Iztok Peruš,et al.  A web‐based methodology for the prediction of approximate IDA curves , 2013 .

[2]  Dimitrios Vamvatsikos,et al.  Equivalent Constant Rates for Performance-Based Seismic Assessment of Ageing Structures , 2011 .

[3]  Chanakya Arya,et al.  Buckling resistance of unstiffened webs , 2009 .

[4]  Dimitrios Vamvatsikos,et al.  Fast performance uncertainty estimation via pushover and approximate IDA , 2009 .

[5]  Sonia E. Ruiz,et al.  Seismic Failure Rates of Multistory Frames , 1989 .

[6]  Peter Fajfar,et al.  Simplified probabilistic seismic performance assessment of plan‐asymmetric buildings , 2007 .

[7]  Giuseppina Uva,et al.  Appraisal of masonry infill walls effect in the seismic response of RC framed buildings: A case study , 2012 .

[8]  James L. Beck,et al.  Sensitivity of Building Loss Estimates to Major Uncertain Variables , 2002 .

[9]  D. Novák,et al.  CORRELATION CONTROL IN SMALL-SAMPLE MONTE CARLO TYPE SIMULATIONS I: A SIMULATED ANNEALING APPROACH , 2009 .

[10]  Vojko Kilar,et al.  Seismic analysis of an asymmetric fixed base and base-isolated high-rack steel structure , 2011 .

[11]  Peter Fajfar,et al.  A Nonlinear Analysis Method for Performance-Based Seismic Design , 2000 .

[12]  Iztok Peruš,et al.  Flexural deformation capacity of rectangular RC columns determined by the CAE method , 2006 .

[13]  Dimitri V. Val,et al.  Reliability evaluation in nonlinear analysis of reinforced concrete structures , 1997 .

[14]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[15]  Bruce R. Ellingwood,et al.  Quantifying and communicating uncertainty in seismic risk assessment , 2009 .

[16]  Peter Fajfar,et al.  Seismic response of a RC frame building designed according to old and modern practices , 2009 .

[17]  Dimitris Diamantidis,et al.  The Joint Committee on Structural Safety (JCSS) Probabilistic Model Code for New and Existing Structures , 1999 .

[18]  Masanobu Shinozuka,et al.  Probabilistic assessment for seismic performance of port structures , 2008 .

[19]  Fatemeh Jalayer,et al.  Structural modeling uncertainties and their influence on seismic assessment of existing RC structures , 2010 .

[20]  Matjaz Dolsek,et al.  Development of computing environment for the seismic performance assessment of reinforced concrete frames by using simplified nonlinear models , 2010 .

[21]  Jack W. Baker,et al.  Incorporating modeling uncertainties in the assessment of seismic collapse risk of buildings , 2009 .

[22]  M. Fardis,et al.  Deformations of Reinforced Concrete Members at Yielding and Ultimate , 2001 .

[23]  Dimitrios Vamvatsikos,et al.  Incremental dynamic analysis for estimating seismic performance sensitivity and uncertainty , 2010 .

[24]  M. D. McKay,et al.  A comparison of three methods for selecting values of input variables in the analysis of output from a computer code , 2000 .

[25]  Bruce Ellingwood,et al.  Development of a probability based load criterion for American National Standard A58 , 1980 .

[26]  Joel P. Conte,et al.  Probabilistic Push-Over Analysis of Structural and Soil-Structure Systems , 2010 .

[27]  Curt B. Haselton,et al.  Assessing seismic collapse safety of modern reinforced concrete moment frame buildings , 2006 .

[28]  Brendon A. Bradley,et al.  Accuracy of approximate methods of uncertainty propagation in seismic loss estimation , 2010 .

[29]  Lawrence L. Kupper,et al.  Probability, statistics, and decision for civil engineers , 1970 .

[30]  Robert E. Melchers,et al.  Structural Reliability: Analysis and Prediction , 1987 .

[31]  Matjaz Dolsek,et al.  Incremental dynamic analysis with consideration of modeling uncertainties , 2009 .

[32]  L. Ibarra.  Global collapse of frame structures under seismic excitations , 2003 .

[33]  M. Fardis,et al.  Designer's guide to EN 1998-1 and en 1998-5 Eurocode 8: Design of structures for earthquake resistance; general rules, seismic actions, design rules for buildings, foundations and retaining structures/ M.Fardis[et al.] , 2005 .

[34]  Bruce R. Ellingwood,et al.  Seismic fragilities for non-ductile reinforced concrete frames – Role of aleatoric and epistemic uncertainties , 2010 .

[35]  Peter Fajfar,et al.  Pre‐ and post‐test mathematical modelling of a plan‐asymmetric reinforced concrete frame building , 2006 .