2004 年 69 巻 578 号 p. 37-42
The aim of this research is to clarify relationships between the dynamic response of non-linear structures during earthquakes and discrete wavelet transform, which can represent time-frequency characteristics of input accelerograms. First this paper studies the relationship between wavelet coefficients of input accelerograms and the elastic response of structures. Considering fourier transform of the mother wavelet and dissipated energy through damping, an equation was derived which shows the relationship between elastic energy of a vibrating system at an arbitrary time and wavelet coefficients of the input accelerogram. Response analyses showed that the elastic energy calculated from wavelet coefficients can be used to evaluate the time-history displacement of the system, under the condition that the natural period of the system is close to the predominant period of the input wave.