Probabilistic study of the influence of ground motion variables on response spectra

(Received October 2, 2010, Accepted June 24, 2011)Abstract. Response spectra of earthquake ground motions are important in the earthquake-resistantdesign and reliability analysis of structures. The formulation of the response spectrum in the frequencydomain efficiently computes and evaluates the stochastic response spectrum. The frequency information ofthe excitation can be described using different functional forms. The shapes of the calculated responsespectra of the excitation show strong magnitude and site dependency, but weak distance dependency. Inthis paper, to compare the effect of the earthquake ground motion variables, the contribution of thesesources of variability to the response spectrum’s uncertainty is calculated by using a stochastic analysis.The analytical results show that earthquake source factors and soil condition variables are the mainsources of uncertainty in the response spectra, while path variables, such as distance, anelastic attenuationand upper crust attenuation, have relatively little effect. The presented formulation of dynamic structuralresponse in frequency domain based only on the frequency information of the excitation can provide animportant basis for the structural analysis in some location that lacks strong motion records.Keywords: probabilistic; Fourier amplitude; response spectra; design earthquake

[1]  K. Campbell.  Campbell-Bozorgnia NGA Ground Motion Relations for the Geometric Mean Horizontal Component of Peak and Spectral Ground Motion Parameters , 2007 .

[2]  David M. Boore,et al.  Site amplifications for generic rock sites , 1997, Bulletin of the Seismological Society of America.

[3]  Julian J. Bommer,et al.  THE USE OF REAL EARTHQUAKE ACCELEROGRAMS AS INPUT TO DYNAMIC ANALYSIS , 2004 .

[4]  G. Schuëller.  A state-of-the-art report on computational stochastic mechanics , 1997 .

[5]  W. Silva,et al.  An empirical study of earthquake source spectra for California earthquakes , 1997, Bulletin of the Seismological Society of America.

[6]  Anastasios Sextos,et al.  Selection of earthquake ground motion records: A state-of-the-art review from a structural engineering perspective , 2010 .

[7]  Alemdar Bayraktar,et al.  Earthquake response of isolated cable-stayed bridges under spatially varying ground motions , 2009 .

[8]  Azad Yazdani,et al.  STOCHASTIC STUDY OF THE EFFECT OF STRONG GROUND MOTION VARIABLES ON INPUT ENERGY , 2010 .

[9]  H. Kanamori.  The energy release in great earthquakes , 1977 .

[10]  Bruce R. Ellingwood,et al.  Probabilistic study of the behavior of steel frames with partially restrained connections , 2001 .

[11]  John G. Anderson,et al.  A MODEL FOR THE SHAPE OF THE FOURIER AMPLITUDE SPECTRUM OF ACCELERATION AT HIGH FREQUENCIES , 1984 .

[12]  Andreas J. Kappos.  Dynamic Loading and Design of Structures , 2001 .

[13]  Julian J. Bommer,et al.  The Feasibility of Using Real Accelerograms for Seismic Design , 2000 .

[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]  H. Bolton Seed,et al.  Site-dependent spectra for earthquake-resistant design , 1976, Bulletin of the Seismological Society of America.

[16]  David M. Boore,et al.  Simulation of Ground Motion Using the Stochastic Method , 2003 .

[17]  Reginald DesRoches,et al.  Sensitivity of Seismic Response and Fragility to Parameter Uncertainty , 2007 .

[18]  Bijan Mohraz,et al.  A study of earthquake response spectra for different geological conditions , 1976 .

[19]  David M. Boore,et al.  Regional Lg attenuation for the continental United States , 1997, Bulletin of the Seismological Society of America.

[20]  Amr S. Elnashai,et al.  Implications of Recent Earthquakes on Seismic Risk , 2000 .

[21]  D. Boore.  Comparing Stochastic Point-Source and Finite-Source Ground-Motion Simulations: SMSIM and EXSIM , 2009 .

[22]  Gail M. Atkinson,et al.  A guide to differences between stochastic point-source and stochastic finite-fault simulations , 2009 .

[23]  Julian J. Bommer,et al.  An evaluation of the applicability of the NGA models to ground-motion prediction in the Euro-Mediterranean region , 2008 .

[24]  J. Douglas,et al.  Equations for the Estimation of Strong Ground Motions from Shallow Crustal Earthquakes Using Data from Europe and the Middle East: Horizontal Peak Ground Acceleration and Spectral Acceleration , 2005 .

[25]  Silvia Castellaro,et al.  Vs30: Proxy for Seismic Amplification? , 2008 .

[26]  Leonello Serva,et al.  Stress Drop, Slip Type, Earthquake Magnitude, and Seismic Hazard , 2001 .

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

[28]  Panagiotis Koliopoulos,et al.  Stochastic structural dynamics in earthquake engineering , 2001 .

[29]  Walter J. Silva,et al.  DEVELOPMENT OF REGIONAL HARD ROCK ATTENUATION RELATIONS FOR CENTRAL AND EASTERN NORTH AMERICA, MID-CONTINENT AND GULF COAST AREAS , 2002 .

[30]  Gianlorenzo Franceschina,et al.  Source parameters and scaling relationships in the Friuli-Venezia Giulia (Northeastern Italy) region , 2006 .

[31]  Alemdar Bayraktar,et al.  Comparison of uniform and spatially varying ground motion effects on the stochastic response of fluid-structure interaction systems , 2009 .

[32]  Jian-Qiao Sun,et al.  Stochastic dynamics and control , 2006 .

[33]  J. Brune.  Tectonic stress and the spectra of seismic shear waves from earthquakes , 1970 .

[34]  Mihailo D. Trifunac,et al.  Should average shear-wave velocity in the top 30 m of soil be used to describe seismic amplification? , 2010 .

[35]  M. Tehranizadeh,et al.  Influence of earthquake source parameters and damping on elastic response spectra for Iranian earthquakes , 2002 .

[36]  Andreas J. Kappos,et al.  A re-evaluation of scaling techniques for natural records , 2000 .

[37]  A. S. Elnashai,et al.  Implications of recent earthquakes on seismic risk : papers presented at the Japan-UK Seismic Risk Forum, 3rd workshop, 6-7 April 2000, Imperial College, London, UK , 2000 .

[38]  George L. Choy,et al.  Acceleration source spectra anticipated for large earthquakes in northeastern North America , 1992 .