基于离散谐小波变换的结构非平稳地震反应分析  

Non-Stationary Earthquake Response Analysis of Structures Based on Discrete Harmonic Wavelet Transform

作　　者：樊剑[1,2] 吕超[2] 张辉[2] 

机构地区：[1]华中科技大学土木工程与力学学院,湖北武汉430074 [2]华中科技大学控制结构湖北省重点实验室,湖北武汉430074

出　　处：《华中科技大学学报（城市科学版）》2008年第3期82-85,共4页Journal of Huazhong University of Science and Technology

基　　金：国家自然科学基金(50778079)

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。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 E1-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.

关 键 词：谐小波变换 结构地震反应 非平稳地震波 

分 类 号：TU352.12[建筑科学—结构工程]