Disaggregation-based response weighting scheme for seismic risk assessment of structures

The results of seismic hazard disaggregation can be used to assign relative weights to a given ground motion record based on its corresponding magnitude, distance and deviation from the ground motion prediction model (epsilon) in order to make probability-based seismic assessments using non-linear dynamic analysis. In this paper, the implications of using the weighted ground motion records are investigated in terms of the mean annual frequency of exceedance of the critical component-based demand to capacity ratio in an existing reinforced concrete structure using both the peak ground acceleration and the first-mode spectral acceleration as intensity measures. It is demonstrated how site-specific seismic hazard disaggregation can be used in order to obtain the conditional probability distribution for a relevant ground motion characteristic given the chosen intensity measure. Distinguished by the amount of structural analysis required, two alternative non-linear dynamic analysis procedures, namely the cloud and the stripes method are implemented. The weighted cloud and the weighted stripes methods are then introduced as analysis procedures which modify the structural response to the selected ground motion records by employing the information provided from the seismic hazard analysis. It is demonstrated that the resulting annual frequencies based on weighted records are comparable to those obtained by using vector-valued intensity measures, while requiring less computational effort.

[1]  Sameh S. F. Mehanny.  A broad-range power-law form scalar-based seismic intensity measure , 2009 .

[2]  Dimitrios Vamvatsikos,et al.  Incremental dynamic analysis , 2002 .

[3]  C. Allin Cornell,et al.  Earthquakes, Records, and Nonlinear Responses , 1998 .

[4]  Fatemeh Jalayer,et al.  A scalar damage measure for seismic reliability analysis of RC frames , 2007 .

[5]  V. Barnett,et al.  Applied Linear Statistical Models , 1975 .

[6]  R. Mcguire.  Seismic Hazard and Risk Analysis , 2004 .

[7]  Iunio Iervolino,et al.  Importance of Mapping Design Earthquakes: Insights for the Southern Apennines, Italy , 2009 .

[8]  Stephen A. Mahin,et al.  Vertical Response of Twelve Structures Recorded during the Northridge Earthquake , 1998 .

[9]  C. Cornell,et al.  Disaggregation of seismic hazard , 1999 .

[10]  J. Rice.  Mathematical Statistics and Data Analysis , 1988 .

[11]  J. Baker,et al.  Spectral shape, epsilon and record selection , 2006 .

[12]  C. Allin Cornell,et al.  Probabilistic seismic demand analysis of nonlinear structures , 1999 .

[13]  Eugenio Chioccarelli,et al.  Near‐source seismic demand and pulse‐like records: A discussion for L'Aquila earthquake , 2010 .

[14]  F. Sabetta,et al.  Estimation of response spectra and simulation of nonstationary earthquake ground motions , 1996, Bulletin of the Seismological Society of America.

[15]  R. Mcguire.  Probabilistic seismic hazard analysis and design earthquakes: Closing the loop , 1995, Bulletin of the Seismological Society of America.

[16]  Y. K. Wen,et al.  Reliability and performance-based design☆ , 2001 .

[17]  Michael H. Scott,et al.  Plastic Hinge Integration Methods for Force-Based Beam¿Column Elements , 2006 .

[18]  S. Weisberg.  Applied Linear Regression , 1981 .

[19]  Pacific Earthquake.  A Technical Framework for Probability-Based Demand and Capacity Factor Design (DCFD) Seismic Formats , 2003 .

[20]  Y. K. Wen,et al.  Reliability and performance-based design § , 2002 .

[21]  Norman A. Abrahamson,et al.  State of the Practice of Seismic Hazard Evaluation , 2000 .

[22]  Fatemeh Jalayer,et al.  Alternative non‐linear demand estimation methods for probability‐based seismic assessments , 2009 .

[23]  I. Iervolino,et al.  Eurocode 8 Compliant Real Record Sets for Seismic Analysis of Structures , 2008 .

[24]  C. Allin Cornell,et al.  Probabilistic Basis for 2000 SAC Federal Emergency Management Agency Steel Moment Frame Guidelines , 2002 .

[25]  Nicolas Luco,et al.  Structure-Specific Scalar Intensity Measures for Near-Source and Ordinary Earthquake Ground Motions , 2007 .

[26]  Dimitrios Vamvatsikos,et al.  Developing efficient scalar and vector intensity measures for IDA capacity estimation by incorporating elastic spectral shape information , 2005 .

[27]  C. Cornell,et al.  Vector-valued Intensity Measures Incorporating Spectral Shape For Prediction of Structural Response , 2008 .

[28]  Massimiliano Stucchi,et al.  A seismic source zone model for the seismic hazard assessment of the Italian territory , 2008 .

[29]  Gregory G. Deierlein,et al.  Development of a two-parameter seismic intensity measure and probabilistic assessment procedure , 2001 .

[30]  Henrik O. Madsen,et al.  Structural Reliability Methods , 1996 .

[31]  C. Cornell,et al.  Record Selection for Nonlinear Seismic Analysis of Structures , 2005 .

[32]  Michael H. Kutner.  Applied Linear Statistical Models , 1974 .

[33]  J. Mander,et al.  Theoretical stress strain model for confined concrete , 1988 .

[34]  Iunio Iervolino,et al.  REXEL: computer aided record selection for code-based seismic structural analysis , 2010 .

[35]  Jack W. Baker,et al.  Probabilistic structural response assessment using vector‐valued intensity measures , 2007 .

[36]  T. Hassard,et al.  Applied Linear Regression , 2005 .

[37]  J. Baker,et al.  A vector‐valued ground motion intensity measure consisting of spectral acceleration and epsilon , 2005 .