Dynamic Analysis of Structures Against Earthquake by an Adaptive Wavelet

In the present study time history dynamic analysis of structures is carried out using wavelet transform. The earthquake record is approximated by discrete wavelet transform combined with fast Fourier transform (FFT). The time history analysis for problems with large number of degrees of freedom, is time consuming. This makes the analysis process very inefficient. To overcome this difficulty, discrete wavelet transform combined with fast Fourier transforms (WFT) is used to transfer the ground acceleration record of the specified earthquake into a function with less number of points. The numerical results of the dynamic analysis show that this approximation is a powerful technique and the required computational work can be reduced greatly. The error involved in this method is small.