摘要：An assessment of equivalence relationship between time and frequency domain expressions is carried out, which is significant for further comparing structural responses in time or frequency domain. And a new trigonometric function algorithm is introduced for a time history to calculate spectrum on arbitrary frequency, much better than the traditional discrete fourier transform method. Finally, in terms of the dynamic response analysis of long span structure conditioned on phase difference and amplitude decay of seismic excitation, the predominance and applicability of the new trigonometric function method are verified by the numerical examples.
