The purpose of this paper is to predict hysteritic absorbed energy of viscously damped single-mass system subjected to earthquake. Bilinear and Slip hysterisis are dealt with. First, based on random vibration theory, a method to get an approximate value of hysteritic absorbed energy when input motions are stationary Gaussian white noise, is studied. By considering a probability distribution of damping dissipate energy per unit time, it is recognized that predicted values become more accurate for wide range of dumping factor and yield share force coefficient, than a result of a past study. Next, based on a past technique to make artificial seismic waves, a deterministic relation between Gaussian white noise and seismic waves, is supposed. And predicted values when input motins are seismic waves, are similarly gotton.
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