The Study Of Simulation Of Earthquake Ground Motion And Earthquake Intensity Index Based On Wavelet Analysis

The wavelet analysis is an important production in the mathematical phylogeny. The wavelet analysis is applying widely to pure mathematics, applied mathematics, signal processing, speech recognition and synthesis, automation processing and image analysis etc. The key advantage of the wavelet analysis is that, in contrast to the conventional Fourier analysis, it can be localized in the time and frequency domain simultaneously. Firstly, the time-dependent spectrum of an earthquake wave estimated by the wavelet analysis is proposed in the paper. It can consider for the earthquake non-stationary frequencies in the study of earthquake ground motions.Then, the artificial earthquake waves are computed using the trigonometric series model that includes the instantaneous spectrum. The wavelet spectrum has been suitably scaled for matching of the response spectrum of the artificial earthquake wave with specified design response spectrum. Consequently, the artificial earthquake wave is produced consistent with given response spectra.This paper introduces some current earthquake intensity indices and presents earthquake intensity indices based on wavelet analysis. To research the effect of the earthquake intensity on the structure response, this paper analyzes elasto-plastic performance of two building structures in 8 defending intensity with the help of CANNY program and analyzes the relation between the structure response and the earthquake intensity indices. It indicates that the earthquake intensity index based on wavelet analysis evaluates better the effect the earthquake intensity on the structure response because it can be localized in the time and frequency domain simultaneously.