Non-Stationary Earthquake Response Analysis of Structures Based on Discrete Harmonic Wavelet Transform
Fan Jiana · Journal of Huazhong University of Science and Technology · 2008
Taking harmonic wavelet with good compact support and box-shaped characteristics as the mother wavelet,a continuous analytical expression of the earthquake time varying spectrum based on discrete wavelet is presented in this paper.Using the orthogonality of the different scale wavelet function,a mathematical relationship between the wavelet coefficient of the earthquake response of structures and the wavelet coefficient of input earthquake is established.Through a numerical example,the time-frequency distribution characteristic of the El-Centro ground motion is analyzed,which is employed as the input to study the change of the earthquake response of structures and analyze the relationship between the time-frequency distribution characteristic of the earthquake response of structures and the time-frequency distribution characteristic of the earthquake.