Abstract
The Kanai-Tajimi model, the most widely used power spectral density model for ground accelerations, has inability to control its spectral level at very low frequencies and consequently sometimes induces overestimations of structural responses for longer-period structures. To overcome this deficiency, we propose a new power spectral density model corresponding to the "pseudo-acceleration" spectral density of an adapted single-degree-of-freedom system under a white noise excitation. The validity of the proposed model is demonstrated through the estimation of the earthquake input energy on the basis of the random response analysis. The analytical explicit expression of the earthquake input energy spectra derived for linear single-degree-of-freedom structures is proved to be also applicable to nonlinear structures with sufficient accuracy.
