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Direct use of PGV for estimating peak nonlinear oscillator displacements
Author(s) -
Akkar Sinan,
Küçükdoğan Bilge
Publication year - 2008
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.819
Subject(s) - ground motion , attenuation , peak ground acceleration , bilinear interpolation , nonlinear system , moment magnitude scale , range (aeronautics) , strong ground motion , seismic hazard , mathematics , physics , geology , statistics , seismology , geometry , engineering , optics , quantum mechanics , aerospace engineering , scaling
A predictive model is presented for estimating the peak inelastic oscillator displacements ( S d,ie ) from peak ground velocity (PGV). The proposed model accounts for the variation of S d,ie for bilinear hysteretic behavior under constant ductility (µ) and normalized lateral strength ratio ( R ) associated with postyield stiffness ratios of α=0 and 5%. The regression coefficients are based on a ground‐motion database that contains dense‐to‐stiff soil site recordings at distances of up to 30 km from the causative fault. The moment magnitude ( M ) range of the database is 5.2⩽ M ⩽7.6 and the ground motions do not exhibit pulse‐dominant signals. Confined to the limitations imposed by the ground‐motion database, the model can estimate S d,ie by employing the PGV predictions obtained from the attenuation relationships (ground‐motion prediction equations). In this way, the influence of important seismological parameters can be incorporated to the variation of S d,ie in a fairly rationale manner. This feature of the predictive model advocates its implementation in the probabilistic seismic hazard analysis that employs scalar ground‐motion intensity indices. Various case studies are presented to show the consistent estimations of S d,ie by the proposed model. The error propagation in the S d,ie estimations is also discussed when the proposed model is associated with attenuation relationships. Copyright © 2008 John Wiley & Sons, Ltd.