effects of higher modes on vertical distribution of isolated structures under near field earthquakes

it has been pointed out the static lateral response procedure for a base-isolated structure proposed in international building code (ibc) somewhat overestimates the seismic story force. that is why in the current paper, vertical distribution of base shear over the height of isolated structures considering higher mode effects under near field earthquakes is investigated. nonlinear behavior of isolation systems cause variation of frequencies transmitted to the superstructure and consequently higher modes effects should be considered. in this study base shear distribution obtained from nonlinear dynamic analysis is compared with that achieved from ibc for assessment of the international building code. this investigation has been conducted in two parts, in order to have an appropriate base shear distribution formula for isolated structures under near field earthquakes. in the first part using three first mode shapes of isolated structure and introducing coefficient corresponding to each mode, extracted from nonlinear dynamic analysis under near field earthquakes, a new formula has been derived. in the second part, the mode shape coefficients have been obtained theoretically and consequently a new base shear distribution over the height of isolated structures including the isolation system properties under near field ground motions was proposed.