基于小波分解的能量谱分析方法及其在汶川地震中的应用
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摘要
利用小波分解将地震波分解成不同频带的小波分量,进而对地震波输入结构的总能量EI进行分解,得到能量在频域上的分布,这是一个有意义的结果。通过对各分量能量谱峰值的分析,可以从另一个方面得到地震波的频谱特性,能量谱峰值出现的结构固有周期与地震波傅里叶谱的卓越周期相同,也可以作为估算卓越周期的一种方法。
The seismic wave is decomposed into components of different frequency bands of wavelet by using the wavelet decomposition transform,then the total energy of structure inputted by seismic wave is decomposed,and the energy distribution in the frequency domain is got,which is a meaningful result.By analysis of the peaks of each sub-component energy spectrum the spectral characteristics of seismic wave can be obtained,at which the spectrum peak occurs.The structural natural period at which the energy is the same as the predominant period of the Fourier spectrum of seismic waves,so it can also be used as a way to estimate the predominant period of the seismic wave.
The seismic wave is decomposed into components of different frequency bands of wavelet by using the wavelet decomposition transform,then the total energy of structure inputted by seismic wave is decomposed,and the energy distribution in the frequency domain is got,which is a meaningful result.By analysis of the peaks of each sub-component energy spectrum the spectral characteristics of seismic wave can be obtained,at which the spectrum peak occurs.The structural natural period at which the energy is the same as the predominant period of the Fourier spectrum of seismic waves,so it can also be used as a way to estimate the predominant period of the seismic wave.
引文
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[2][日]北村春幸(著).基于性能设计的建筑振动分析[M].裴星洙,廖红建(译).西安:西安交通大学出版社,2004.Haruyuki Kitamura.Seismic response analysis methods for performance based design[M].Xi'an:Xi'an Jiaotong University Press,2004.
[3]江辉,朱晞,倪永军.基于谱速度的近场地震动输入能量计算模型研究[J].世界地震工程,2009,25(3):86-90.JIANG Hui,ZHU Xi,NI Yongjun.Simplified computationalmodels of input energy based on spectrum velocity for near-fault earthquakes[J].WorldEarthquake Engineering,2009,25(3):86-90.
[4]刘哲锋,沈蒲生,胡习兵.地震总输入能量与瞬时输入能量谱的研究[J].地震工程与工程震动,2006,26(6):31-36.LIU Zhefeng,SHEN Pusheng,HU Xibing.Study on input energy and momentary input energy spectra of earthquake strong motion[J].Journal ofEarthquake Engineering and Engineering Vibration,2006,26(6):31-36.
[5]谢异同.小波分析方法在地震工程中的应用研究[D].西安:西安建筑科技大学,2002.XIE Yitong.Studay on the application of wavelet application in earthquake engineering[D].Xi’an:Xi'an University of Architecture&Technolo-gy,2002.
[6]谢异同,张同亿,吴敏哲.地震动加速度过程的小波模拟[J].地震工程与工程振动,2001,21(2):19-23.XIE Yitong,ZHANG Tongyi,WU Minzhe.Wavelets simulation for earthquake ground motion acceleration[J].Journal of Earthquake Engineeringand Engineering Vibration,2001,21(2):19-23.
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