基于希尔伯特-黄变换的汶川地震记录分析
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摘要
利用HHT方法对6个台站的汶川8.0级地震加速度记录进行EMD分解,进而对地震波输入结构的总能量进行分解,得到地震动能量在IMF分量之间的分布关系。同时通过对各分量边际能量谱的分析,可以从另一方面得到地震波的频谱特性,边际能量谱峰值频率与地震波傅立叶谱的卓越频率相同,边际能量谱也可以作为一种估算震动卓越周期的方法。
Using the Hilbert-Huang Transform,acceleration time histories recorded by 6 stations in Wenchuan M8.0 earthquake are decomposed into several Intrinsic Mode Function components by Empirical Mode Decomposition.The total energy of structure inputted by seismic wave is decomposed to get the distribution relation of the ground motion energy in the different IMF component.By analysis of marginal energy spectrum of each IMF component,we can obtain the spectral characteristics of seismic wave.The frequency of marginal energy spectrum peak is the same as the predominant period of the Fourier spectrum of seismic wave,so it can also be used as the way to estimate the predominant period of vibration.
Using the Hilbert-Huang Transform,acceleration time histories recorded by 6 stations in Wenchuan M8.0 earthquake are decomposed into several Intrinsic Mode Function components by Empirical Mode Decomposition.The total energy of structure inputted by seismic wave is decomposed to get the distribution relation of the ground motion energy in the different IMF component.By analysis of marginal energy spectrum of each IMF component,we can obtain the spectral characteristics of seismic wave.The frequency of marginal energy spectrum peak is the same as the predominant period of the Fourier spectrum of seismic wave,so it can also be used as the way to estimate the predominant period of vibration.
引文
公茂盛,鹿嶋俊英，谢礼立，等.2010.基于结构强震记录的结构时变模态参数识别[J].振动与冲击,29(5):171-176.
公茂盛,谢礼立,连海宁,等.2007.基于HHT的结构强震记录分析研究[J].地震工程与工程振动,27(6):24-29.
鞠萍华,秦树人,秦毅,等.2009.多分辨EMD方法与频域平均在齿轮早期故障诊断中的研究[J].振动与冲击,28(5):97-103.
祁克玉,施坤林,霍鹏飞,等.2010.EMD端点效应处理在转子摩擦故障诊断中的应用[J].振动、测试与诊断,30(5):492-496.
王彬,杨润海,郭梦秋,等.2005.昆明高层建筑强震观测记录HHT分析[J].地震研究,28(1):78-81.
周挚,山秀明,梁虹,等.2005.固体潮时频分析新方法[J].地震研究,28(4):334-339.
Duffy D G.2004.The application of Hilbert-Huang transforms to meteorological datasets[J].Oceanic Technol,21(4):599-611.
Huang N E,Shen Z,Long S R,et al.1998.The empirical mode decomposition and the Hilbert spectrum for nonlinear and nonstationary TimeSeries Analysis[C].Proc R Soc Lond A,454(1971):903-995.
Huang N E,Zheng S,Steven R L.1999.A new view of nonlinear waterwaves:The Hilbert spectrum[J].Annu Rev Fliud Mech,31:417-457.
Jia R Y,Shou Z F,Shieh J S.2009.Human heart beat analysis using amodified algorithm of detrended fluctuation analysis based on empirical mode decomposition[J].Medical Engineering&Physics,31(3):92-100.
Jiang R,Yan H.2008.Studies of spectral properties of short genes usingthe wavelet subspace Hilbert-Huang transform(WSHHT)[J].Physica A,387(16):4223-4247.
Li M,Jiang W M,Li X,et al.2005.A test of the dynamical nonstationarityin atmospheric boundary layer turbulence[J].Chin J Geophys,48(3):493-500.
Ortega J,Smith G H.2009.Hilbert-Huang transform analysis of stormwaves[J].Applied Ocean Research,31(3):212-219.
Zhang R R,Ma S,Stephen H.2003.Hilbert-Huang transform analysis ofdynamic and earthquake motion recordings[J].Journal of engineering mechanics,129(8):861-875.
公茂盛,谢礼立,连海宁,等.2007.基于HHT的结构强震记录分析研究[J].地震工程与工程振动,27(6):24-29.
鞠萍华,秦树人,秦毅,等.2009.多分辨EMD方法与频域平均在齿轮早期故障诊断中的研究[J].振动与冲击,28(5):97-103.
祁克玉,施坤林,霍鹏飞,等.2010.EMD端点效应处理在转子摩擦故障诊断中的应用[J].振动、测试与诊断,30(5):492-496.
王彬,杨润海,郭梦秋,等.2005.昆明高层建筑强震观测记录HHT分析[J].地震研究,28(1):78-81.
周挚,山秀明,梁虹,等.2005.固体潮时频分析新方法[J].地震研究,28(4):334-339.
Duffy D G.2004.The application of Hilbert-Huang transforms to meteorological datasets[J].Oceanic Technol,21(4):599-611.
Huang N E,Shen Z,Long S R,et al.1998.The empirical mode decomposition and the Hilbert spectrum for nonlinear and nonstationary TimeSeries Analysis[C].Proc R Soc Lond A,454(1971):903-995.
Huang N E,Zheng S,Steven R L.1999.A new view of nonlinear waterwaves:The Hilbert spectrum[J].Annu Rev Fliud Mech,31:417-457.
Jia R Y,Shou Z F,Shieh J S.2009.Human heart beat analysis using amodified algorithm of detrended fluctuation analysis based on empirical mode decomposition[J].Medical Engineering&Physics,31(3):92-100.
Jiang R,Yan H.2008.Studies of spectral properties of short genes usingthe wavelet subspace Hilbert-Huang transform(WSHHT)[J].Physica A,387(16):4223-4247.
Li M,Jiang W M,Li X,et al.2005.A test of the dynamical nonstationarityin atmospheric boundary layer turbulence[J].Chin J Geophys,48(3):493-500.
Ortega J,Smith G H.2009.Hilbert-Huang transform analysis of stormwaves[J].Applied Ocean Research,31(3):212-219.
Zhang R R,Ma S,Stephen H.2003.Hilbert-Huang transform analysis ofdynamic and earthquake motion recordings[J].Journal of engineering mechanics,129(8):861-875.
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