汶川地震基岩强震记录的Hilbert-Huang变换分析
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摘要
详细解释了Hilbert-Huang变换(HHT)的思想和基本理论,利用HHT方法对汶川8.0级的地震记录进行了经验模态分解(EMD),并对其Hilbert-Huang三维时间-频率-幅值(能量)图谱、边际能量谱和瞬时能量谱进行了分析讨论。研究表明,基于HHT的Hilbert谱能够精准和清晰地揭示地震记录的时-频-能量分布。
The idea and theoretical basis of Hilbert-Huang transform(HHT) was explained in detail.Then strong earthquake records obtained from Wenchuan 8.0 magnitude earthquake were analyzed by using the EMD and Hilbert Transform method of HHT.Based on the calculated results,Hilbert-Huang dimensional time-frequency-amplitude(energy) spectrum,marginal energy spectrum and the instantaneous energy spectrum were analyzed and discussed.The result illustrates that the HHT-based Hilbert spectra is able to reveal the temporal-frequency energy distribution for ground motion records precisely and clearly.
The idea and theoretical basis of Hilbert-Huang transform(HHT) was explained in detail.Then strong earthquake records obtained from Wenchuan 8.0 magnitude earthquake were analyzed by using the EMD and Hilbert Transform method of HHT.Based on the calculated results,Hilbert-Huang dimensional time-frequency-amplitude(energy) spectrum,marginal energy spectrum and the instantaneous energy spectrum were analyzed and discussed.The result illustrates that the HHT-based Hilbert spectra is able to reveal the temporal-frequency energy distribution for ground motion records precisely and clearly.
引文
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[13]李夕兵,张义平,左宇军,等.岩石爆破振动信号的EMD滤波与消噪[J].中南大学学报(自然科学版),2006,37(1):150-154.Li Xibing,Zhang Yiping,Zuo Yujun,et al.Filtering and denoisingof rock blasting vibration signal with EMD[J].J.Cent.South Univ.(Science and Technology),2006,37(1):150-154.
[14]刘强,周瑞忠,刘宇航.基于HHT变换的结构地震响应与能量计算分析[J].武汉大学学报,2009,42(6):780-784.Liu Qiang,Zhou Ruizhong,Liu Yuhang.Computation and analysisof seismic response and energy based on Hilbert-Huang transform[J].Engineering Journal of Wuhan University,2009,42(6):780-784.
[15]Wu Z.A review on Hilbert-Huang transform:method and its appli-cations to geophysical studies[J].Reviews of Geophysics,2008,47(2):1-23.
[16]Huang N E,Wu M L,Long S R,et al.A confidence limit for theempirical mode decomposition and Hilbert spectral analysis[J].Proc.R.Soc.Lond.A,2003,459:2 317-2 345.
[2]Huang N E,Shen Z,Long S R,et al.The empirical mode decomposi-tion and the Hilbert spectrum for nonlinear and nonstationary timeseries analysis[J].Proc.R.Soc.Lond.A,1998,454:903-995.
[3]Huang N E,Zheng S,Steven R L.A new view of nonlinear waterwaves:the Hilbert spectrum[J].Annu.Rev.Fliud Mech.,1999,31:417-457.
[4]Duffy D G.The application of Hilbert-Huang transforms to meteoro-logical datasets[J].Oceanic Technol.,2004,21:599-611.
[5]Li M,Jiang W M,Li X,et al.A test of the dynamical nonstationarityin atmospheric boundary layer turbulence[J].Chin.J.Geophys,2005,48:493-500.
[6]Ortega J,Smith G H.Hilbert-Huang transform analysis of stormwaves[J].Applied Ocean Research,2009(3):212-219.
[7]Jia R Y,Shou Z F,Shieh J S.Human heart beat analysis using amodified algorithm of detrended fluctuation analysis based on empiri-cal mode decomposition[J].Medical Engineering&Physics,2009,31(3):92-100.
[8]Jiang R,Yan H.Studies of spectral properties of short genes usingthe wavelet subspace Hilbert-Huang transform(WSHHT)[J].Phys-ica A,2008,387(16):4 223-4 247.
[9]鞠萍华,秦树人,秦毅,等.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,2009,28(5):97-103.Ju Pinghua,Qin Shuren,Qin Yi,et al.Research on earlier fault diag-nosis of gear by method of multi-resolution empirical mode decompo-sition and frequency domain averaging[J].Journal of Vibration andShock,2009,28(5):97-103.
[10]祁克玉,施坤林,霍鹏飞,等.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,2010,30(5):492-496.Qi Keyu,Shi Kunlin,Huo Pengfei,et al.EMD boundary processingmethod and its application to friction fault diagnosis of rotor system[J].Journal of Vibration,Measurement&Diagnosis,2009,30(5):492-496.
[11]张达德,陈柏麟,黄钢,等.冲刷桥墩基础的HHT振动频谱特性分析与判读研究[J].岩土力学,2010,31(7):2 241-2 246.Zhang Dade,Chen Bolin,Huang Gang,et al.Characteristics analy-sis and judgment of vibrating frequency for scoured pier foundationby Hilbert Huang transform[J].Rock and Soil Mechanics,2010,31(7):2 241-2 246.
[12]张艳丽,张守祥.基于Hilbert-Huang变换的煤矸声波信号分析[J].煤炭学报,2010,35(1):165-168.Zhang Yanli,Zhang Shouxiang.Analysis of coal and gangue acous-tic signals based on Hilbert-Huang transformation[J].Journal ofChina Coal Society,2010,35(1):165-168.
[13]李夕兵,张义平,左宇军,等.岩石爆破振动信号的EMD滤波与消噪[J].中南大学学报(自然科学版),2006,37(1):150-154.Li Xibing,Zhang Yiping,Zuo Yujun,et al.Filtering and denoisingof rock blasting vibration signal with EMD[J].J.Cent.South Univ.(Science and Technology),2006,37(1):150-154.
[14]刘强,周瑞忠,刘宇航.基于HHT变换的结构地震响应与能量计算分析[J].武汉大学学报,2009,42(6):780-784.Liu Qiang,Zhou Ruizhong,Liu Yuhang.Computation and analysisof seismic response and energy based on Hilbert-Huang transform[J].Engineering Journal of Wuhan University,2009,42(6):780-784.
[15]Wu Z.A review on Hilbert-Huang transform:method and its appli-cations to geophysical studies[J].Reviews of Geophysics,2008,47(2):1-23.
[16]Huang N E,Wu M L,Long S R,et al.A confidence limit for theempirical mode decomposition and Hilbert spectral analysis[J].Proc.R.Soc.Lond.A,2003,459:2 317-2 345.
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