基于HHT方法的非平稳人工地震动模拟  

Simulation of non-stationary artificial seismic ground motions based on HHT theory

作　　者：吴昊[1] 张洵安[1] 

机构地区：[1]西北工业大学力学与土木建筑学院,陕西西安710072

出　　处：《地震工程与工程振动》2011年第6期30-37,共8页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金项目(51078311);教育部博士点基金项目(20096102110018);西北工业大学基础研究基金项目(JC200814)

摘　　要：由Hilbert-Huang变换(HHT)得到实际地震动的时变渐进功率谱,利用渐进功率谱和三角级数法进行人工地震动的合成。与传统方法中先生成平稳人工波,再乘以强度调制函数进行非平稳化相比,文中利用渐进功率谱生成的人工波能够反映地震波能量在时频平面上的分布,它不仅具有强度非平稳性,而且也具有频率非平稳性,更符合实际情况。同时将HHT方法和求解渐进功率谱时常用的短时傅里叶变换(STFT)和多重滤波法进行比较,表明具有自适应性的HHT方法能更快速、准确地估计地震动渐进谱,时频分辨率更高,更适合于人工地震动的模拟。The artificial seismic ground motions have been synthesized by the use of trigonometric series and time varying power spectrum,which is estimated by the Hilbert-Huang Transform（HHT） theory.The method proposed is different from the traditional procedure,which synthesizes non-stationary artificial seismic ground motion by strength modulation function.It can reflect the energy contribution characteristics on the time-frequency plane and the artificial seismic ground motion is non-stationary both in time and frequency domains.At the same time,the HHT is compared with short-time Fourier transform（STFT） and multi-filter,the comparison results demonstrate that the HHT has higher time-frequency resolution capability and greater advantage in speed and accuracy for estimating the time varying power spectrum.It＇s more suitable to simulate artificial seismic ground motion.

关 键 词：人工地震动 HILBERT-HUANG变换 渐进功率谱 非平稳性 

分 类 号：P315.9[天文地球—地震学]