70%-Damped Spectral Acceleration as a Ground Motion Intensity Measure for Predicting Highly Nonlinear Response of Structures

We investigate 70%-damped spectral acceleration, Sa70%(T), as a ground motion intensity measure for predicting maximum interstory drift ratios of 0.03, 0.06, and 0.1 as well as collapse. We perform incremental dynamic analysis with 50 ground motions on 22 steel moment frame building models with heights of 3, 9, and 20 stories. We find that if T1 ≤ T ≤ 2T1, Sa70%(T) is efficient and usually sufficient for the considered levels of highly nonlinear response. Sa70%(1.5T1) is generally an efficient choice. We find that Sa70%(T) is similar to average spectral acceleration, Saavg, in many ways, as both intensity measures emphasize a wide range of periods in a ground motion when compared to Sa5%(T1). Sa70%(T) is equivalent to the peak of a ground motion's low-pass filtered acceleration, and this interpretation may be useful for estimating the potential of a ground motion to elicit a highly nonlinear response.

[1]  Polat Gülkan,et al.  INELASTIC RESPONSES OF REINFORCED CONCRETE STRUCTURES TO EARTHQUAKE MOTIONS , 1977 .

[2]  G. Atkinson,et al.  Ground-Motion Prediction Equations for the Average Horizontal Component of PGA, PGV, and 5%-Damped PSA at Spectral Periods between 0.01 s and 10.0 s , 2008 .

[3]  J. Baker,et al.  Prediction of inelastic structural response using an average of spectral accelerations , 2008 .

[4]  Paolo Bazzurro,et al.  Ground-motion models for average spectral acceleration in a period range: direct and indirect methods , 2017, Bulletin of Earthquake Engineering.

[5]  Marshall Lew,et al.  AN ALTERNATIVE PROCEDURE FOR SEISMIC ANALYSIS AND DESIGN OF TALL BUILDINGS LOCATED IN THE LOS ANGELES REGION 2008 Edition , 2008 .

[6]  Wilfred D. Iwan,et al.  Estimating inelastic response spectra from elastic spectra , 1980 .

[7]  John F. Hall,et al.  Beam-column modeling , 1995 .

[8]  John F. Hall,et al.  Earthquake collapse analysis of steel frames , 1994 .

[9]  Brendon A. Bradley,et al.  Prediction of spatially distributed seismic demands in specific structures: Ground motion and structural response , 2009 .

[10]  Ismael Herrera,et al.  On a Kind of Hysteretic Damping , 1964 .

[11]  Akira Wada,et al.  Performance-Based Seismic Design for High-Rise Buildings in Japan , 2012 .

[12]  Swaminathan Krishnan,et al.  Mechanism of Collapse of Tall Steel Moment-Frame Buildings under Earthquake Excitation , 2012 .

[13]  J. Baker,et al.  GROUND MOTION INTENSITY MEASURES FOR COLLAPSE CAPACITY PREDICTION: CHOICE OF OPTIMAL SPECTRAL PERIOD AND EFFECT OF SPECTRAL SHAPE , 2006 .

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

[15]  Kihak Lee Performance Prediction and Evaluation of Steel Special Moment Frames for Seismic Loads , 2000 .

[16]  Wilfred D. Iwan,et al.  The effective period and damping of a class of hysteretic structures , 1979 .

[17]  Shiyan Song A New Ground Motion Intensity Measure, Peak Filtered Acceleration (PFA), to Estimate Collapse Vulnerability of Buildings in Earthquakes , 2014 .

[18]  Farzad Naeim,et al.  Performance Based Seismic Design of Tall Buildings , 2010 .

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

[20]  Dimitrios Vamvatsikos,et al.  Vector and Scalar IMs in Structural Response Estimation, Part II: Building Demand Assessment , 2016 .

[21]  J. Baker,et al.  Correlation of Spectral Acceleration Values from NGA Ground Motion Models , 2008 .

[22]  Jack P. Moehle,et al.  A framework methodology for performance-based earthquake engineering , 2004 .

[23]  Andrew Charles Guyader A Statistical Approach to Equivalent Linearization with Applications to Performance-Based Engineering , 2003 .

[24]  S. Akkar,et al.  Effect of peak ground velocity on deformation demands for SDOF systems , 2005 .

[25]  Xxyyzz,et al.  Minimum Design Loads for Buildings and Other Structures , 1990 .

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

[27]  Eduardo Miranda,et al.  Evaluation of approximate methods to estimate maximum inelastic displacement demands , 2002 .

[28]  John Kenneth Buyco Improving Seismic Collapse Risk Assessments of Steel Moment Frame Buildings , 2018 .

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

[30]  Dimitrios G. Lignos,et al.  Average spectral acceleration as an intensity measure for collapse risk assessment , 2015 .

[31]  Dimitrios Vamvatsikos,et al.  Intensity measure selection for vulnerability studies of building classes , 2015 .

[32]  John F. Hall Seismic response of steel frame buildings to near‐source ground motions , 1998 .

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

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