%A Saotome,Yoshito
%A Kojima,Kotaro
%A Takewaki,Izuru
%D 2019
%J Frontiers in Built Environment
%C
%F
%G English
%K Earthquake Response,Critical excitation,double impulse,Collapse,Bilinear hysteresis,Viscous damping
%Q
%R 10.3389/fbuil.2019.00106
%W
%L
%N 106
%M
%P
%7
%8 2019-September-18
%9 Original Research
%#
%! Collapse limit under ground motion
%*
%<
%T Collapse-Limit Input Level of Critical Double Impulse for Damped Bilinear Hysteretic SDOF System With Negative Post-yield Stiffness
%U https://www.frontiersin.org/article/10.3389/fbuil.2019.00106
%V 5
%0 JOURNAL ARTICLE
%@ 2297-3362
%X The collapse-limit input velocity level of the critical double impulse simulating the principal part of near-fault ground motions is derived for an elastic-plastic structure with viscous damping and P-delta effect. The structural system is modeled by a bilinear hysteretic SDOF system with negative post-yield stiffness reflecting the P-delta effect which plays a key role in the collapse behavior. Since the critical timing of the second impulse in the double impulse has been proven as the zero-restoring force timing after the first impulse for the elastic-plastic SDOF system with viscous damping, that property is used again in this paper. It is shown that the collapse-limit input level of the critical double impulse can be obtained as a function of the post-yield stiffness and the damping ratio by using the energy balance law and the quadratic-function approximation of the damping force-deformation relation. The applicability of the collapse-limit level to actual recorded ground motions is investigated through the time-history response analysis for the stable models and the collapse models under two actual earthquake ground motions.