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Based on elastic-plastic time-history earthquake analysis of the single degree of freedom (SDOF) system, the inelastic displacement amplification factor Cd2 of the elastic-perfectly plastic (EPP) model with the same yield strength reduction was investigated for different normalized periods T/TgR, site types, strength reduction factors R, damping ratios, post yield stiffness ratios and second order (P-Δ) effects. The factor Cd2 can be used to estimate the maximum inelastic response displacement from the elastic displacement under the design seismic conditions. It is found that the probability distribution of Cd2 satisfies the lognormal distribution approximately. The factor Cd2 decreases with decreasing damping (in the medium-long period range) and with increasing post yield stiffness. The existence of the P-Δ effect will increase Cd2 significantly and needs to be considered in future seismic design. Three other hysteretic models: the modified-Clough (MC), shear-slipped (SSP) and bilinear elastic (BIL) models, were analyzed to check the effect of the hysteretic model on Cd2 spectra The results were compared to those of the EPP model and it was found that the Cd2 of the EPP model is the smallest among the four hysteretic models.
Advances in Structural Engineering – SAGE
Published: Feb 1, 2010
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