| Abstract: | There are several methods for analyzing the acceleration of an earthquake. In this research, a discrete wavelet theory based on the Mallat method was employed to analyze the acceleration of earthquake records. For this purpose, first, the acceleration of the main earthquake was determined using the method of banding, filtering and correction of a filtered wave. Then, the acceleration of the earthquake up to five stages was decomposed using discrete wavelet theory. In this method, in which the Down-Sampling rule is utilized in each step, the number of earthquake record points is half past. Each of the waveforms was based on the acceleration of the maximum original earthquake, and the maximum acceleration in all the waves was identical. For each of the five waves obtained from wavelet decomposition, the velocity curve and ground acceleration are obtained and compared with each other. Finally, a structure was analyzed using the main wave of the earthquake and each of the waveforms was analyzed in five stages and their dynamic response curves were compared. The results showed that until the third stage of the wavelet decomposition, the error was insignificant and the dynamic response to the magnitude of the earthquake was small. The analysis time is about 10% of the analysis time with the main wave, and the error is less than 6%. |
