In this pape ゆ e maXimurn half − CyCle energy input ratio is detemined by extensive numerical response analysis . MaXimum half− CyCle energy 血 put ratio is de血 ed as the ratio ofthe maXimum increment of the sum ofelastic strain energy and plasbic dissipated energy dunng a half − qycle ofvibration to the maxim 皿 1 resp 〔 コ nse ofthe sum ofelastic strain energy and plastic dissipated energy . An exp 肥 ssion iS proposed tt ) predict the maxirnum seismic response of bilinear systems based on the

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... anoe between input energy and absorbed energy during a halfccycle ofvibratien , The applicability of the proposed method is Oon ed 伽 ou 帥 compahsons with numerical results ofbilinear systems .