希尔伯特-黄变换在舰船冲击响应分析中的应用
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摘要
希尔伯特-黄变换(Hilbert-Huang Transform)是近年来发展起来的一种处理非平稳信号,且在实践中得到充分验证的信号处理手段,它的核心部分是经验模式分解(Empirical Mode Decomposition,EMD),用该方法将信号分解为有限个本征模式函数(Intrinsic Mode Function,IMF),然后对每个IMF分量进行Hilbert变换得到信号的HHT谱,HHT谱能清晰地反映信号能量随时间和频率的分布规律。利用HHT方法分析了某型舰在非接触水下爆炸作用下典型部位冲击响应信号,计算了Hilbert幅值谱、Hilbert能量谱和Hilbert瞬时能量,探讨了非接触水下爆炸作用下舰船冲击响应的时频特征。
Hilbert-Huang Transform(HHT)is a new method for non-stationary signal processing and is verified to be effective in practice.Its key part is Empirical Mode Decomposition(EMD).Using this method,a signal can be decomposed into a finite number of Intrinsic Mode Function(IMF),and HHT spectrum is obtained from Hilbert Transform of each IMF.HHT spectrum can reflect the time-frequency distribution law of signal energy clearly.In this article we analyzed the shock response signals of a ship's typical part subject to non-contact underwater explosion with HHT method, calculated the Hilbert amplitude spectrum,Hilbert energy spectrum and Hilbert instantaneous energy,and discussed the time-frequency characteristics of the ships' shock response subject to non-contact underwater explosion.
Hilbert-Huang Transform(HHT)is a new method for non-stationary signal processing and is verified to be effective in practice.Its key part is Empirical Mode Decomposition(EMD).Using this method,a signal can be decomposed into a finite number of Intrinsic Mode Function(IMF),and HHT spectrum is obtained from Hilbert Transform of each IMF.HHT spectrum can reflect the time-frequency distribution law of signal energy clearly.In this article we analyzed the shock response signals of a ship's typical part subject to non-contact underwater explosion with HHT method, calculated the Hilbert amplitude spectrum,Hilbert energy spectrum and Hilbert instantaneous energy,and discussed the time-frequency characteristics of the ships' shock response subject to non-contact underwater explosion.
引文
[1]温华兵,张健,尹群.水下爆炸船舱冲击响应时频特征的小波包分析[J].工程力学,2008,25(6):199-203
[2]张义平,李夕兵,赵国彦.基于HHT方法的硐室大爆破震动分析[J].岩石力学与工程学报,2005,24: 4784-4789
[3]Huang N E,et al.The Empirical Mode Composition and the Hilbert Spectrum for Nonlinear and Non-stationary Time Series Analysis[J].Proc.R.Soc.Lond.A.,1989 (454):903-905
[4]Huang N E,et al.A New View of Nonlinear Water Waves: the Hilbert Spectrum[J].Annu.Rev.Fluid.Mech., 1999,31:417-457
[5]陈子雄,吴琛,周瑞忠.希尔伯特-黄变换谱及其在地震信号分析中的应用[J].福州大学学报,2006,34(2): 260-264
[2]张义平,李夕兵,赵国彦.基于HHT方法的硐室大爆破震动分析[J].岩石力学与工程学报,2005,24: 4784-4789
[3]Huang N E,et al.The Empirical Mode Composition and the Hilbert Spectrum for Nonlinear and Non-stationary Time Series Analysis[J].Proc.R.Soc.Lond.A.,1989 (454):903-905
[4]Huang N E,et al.A New View of Nonlinear Water Waves: the Hilbert Spectrum[J].Annu.Rev.Fluid.Mech., 1999,31:417-457
[5]陈子雄,吴琛,周瑞忠.希尔伯特-黄变换谱及其在地震信号分析中的应用[J].福州大学学报,2006,34(2): 260-264