【摘要】 采用在频域内具有极好紧支性和盒形特性的谐小波作为母小波,推导出基于离散小波的地震波时变谱连续解析表达式;利用不同尺度下小波函数的正交性,建立了结构地震反应的离散小波系数与输入地震波的离散小波系数之间的数学关系;通过数值算例,分析了EL-centro地震波的时频分布特征;以此为输入,研究了结构地震反应时变谱的变化规律,并分析了结构地震反应的时频分布特征与地震波时频分布特征之间的关系。更多还原

【Abstract】 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.更多还原