Abstract
The earthquake motion is a non-stationary process in which the spectral content can change with time. Thus, when we simulate the input earthquake motion for the earthquake-proof structural design, the changing spectral characteristics of the earthquake should be taken into account. In this study, we try to generate simulated earthquakes which have the desired velocity response spectrum as well as the desired time-frequency characteristics. First, we show that the velocity response spectrum at a specific period can be interpreted as the maximum amplitude of the wavelet transform in which the velocity impulse response function is used as the analyzing wavelet. Using this relationship, the wavelet transform of the desired earthquake motion can be generated by an iterative scheme. Then the earthquake motion is obtained by taking the inverse wavelet transform of it.
