Time history dynamic analysis of structures using filter banks and wavelet transforms

Dynamic analysis of structures is achieved by wavelet transforms and filter banks. The method reduces the computational burden of the large-scale dynamic analysis. A time history analysis is carried out for a seismic analysis. To reduce the computational work, fast wavelet transform is used. To compute fast wavelet transforms, the Mallat and the Shensa algorithms are used. These two methods are used for wavelet theory together with filter banks. The low and high pass filters are used for the decomposition of accelerogram ground acceleration into two parts. The first part contains the low frequency of the record, and the other contains the high frequency of the record. The low frequency content is the most important part; therefore this part of the record is used for dynamic analysis. A number of structures are analysed and the results are compared with dynamic analysis using the original earthquake record.