Introducing a New Spectral Intensity Measure Parameter to Estimate the Seismic Demand of Steel Moment-Resisting Frames Using Bayesian Statistics

In this article, it is intended to find a proper spectral Intensity Measure parameter (IM), using Bayesian statistics, to estimate the seismic demand of steel moment-resisting frames in such a way that applying this IM to both parts of seismic demand estimation, i.e. the probabilistic seismic demand model and collapse fragility curve, leads to a precise estimation for all frames with different heights. After results show that finding such IM parameter is impossible among spectral accelerations individually, due to effects of different modes and nonlinear behavior of structures, the area under the spectral acceleration is introduced as a new IM. Considering the results of incremental dynamic analysis of frames subjected to 80 selected ground motion records, on the condition of selecting a suitable interval of periods, this new IM can reduce the dispersion of results. This interval can be defined as [αTm-βT1], in which T1 and Tm are the first period and the period with 95% mass participation and α and β are two modification coefficients.

[1]  Vitelmo V. Bertero,et al.  Earthquake Engineering: From Engineering Seismology To Performance-Based Engineering , 2020 .

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

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

[4]  Nicolas Luco,et al.  Probabilistic seismic demand analysis using advanced ground motion intensity measures , 2007 .

[5]  Paolo Bazzurro,et al.  Probabilistic seismic demand analysis , 1998 .

[6]  S. Lang,et al.  Simultaneous probability statements for Bayesian P-splines , 2008 .

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

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

[9]  R. Medina,et al.  Seismic Demands for Nondeteriorating Frame Structures and Their Dependence on Ground Motions , 2003 .

[10]  Helmut Krawinkler,et al.  Evaluation of Drift Demands for the Seismic Performance Assessment of Frames , 2005 .

[11]  Sashi Kanth Tadinada.  A Bayesian Framework for Probabilistic Seismic Fragility Assessment of Structures , 2012 .

[12]  Armen Der Kiureghian,et al.  Probabilistic Models and Fragility Estimates for Bridge Components and Systems , 2002 .

[13]  Kevin R. Mackie,et al.  Probabilistic Seismic Demand Model for California Highway Bridges , 2001 .

[14]  Andreas Brezger,et al.  Generalized structured additive regression based on Bayesian P-splines , 2006, Comput. Stat. Data Anal..

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