经验模态分解剔除结构地震响应位移漂移
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摘要
提出了一种基于经验模态分解(Empirical Mode Decomposition,EMD)剔除位移响应漂移量的算法。这种算法将漂移成分视为EMD分解的最终残量(Residue),从原时程响应信号中分离并剔除EMD分解的最终残量后,再利用本征模函数(Intrinsic Mode Functions,IMFs)进行信号重构,能够得到接近真实的响应时程信号。该方法引入到实际桥梁结构的地震响应时程分析中,成功地解决了剔除结构地震响应位移漂移的难题。试算和实际计算效果表明此种方法效果良好,因而在结构地震响应分析中具有重要实用价值。
Will come into being "displacement drift",when the "large-mass method" is adopted to analyze the structural earthquake responses.A new algorithm to remove this drift components based on empirical mode decomposition(EMD) is put forward,which regards the drift component as the residue of EMD,separates and removes the residue from original signal of time history response data by using EMD,reconstructs the response signal though using intrinsic mode functions(IMF) of EMD.Then the displacement response signal approximated to real one is obtained.By applying the method to analyse earthquake time history responses of real bridge structures,the difficult problem of removing displacement drift from time histry data is successfully solved.The results of trial and true calculations are precise,so it can be used for the structural earthquake response analysis.
Will come into being "displacement drift",when the "large-mass method" is adopted to analyze the structural earthquake responses.A new algorithm to remove this drift components based on empirical mode decomposition(EMD) is put forward,which regards the drift component as the residue of EMD,separates and removes the residue from original signal of time history response data by using EMD,reconstructs the response signal though using intrinsic mode functions(IMF) of EMD.Then the displacement response signal approximated to real one is obtained.By applying the method to analyse earthquake time history responses of real bridge structures,the difficult problem of removing displacement drift from time histry data is successfully solved.The results of trial and true calculations are precise,so it can be used for the structural earthquake response analysis.
引文
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[12]Flandrin P,Rilling G,Goncalves P.Empirical modedecomposition as a filter bank[J].IEEE Sig.Poc.Lett.,2004,11(2):112—114.
[2]傅光耀.黄土地裂场地桥梁结构地震反应分析[D].西安:长安大学,2007.
[3]王济,胡晓.MATLAB在振动信号处理中的应用[M].北京:中国水利水电出版社,知识产权出版社,2006.
[4]Lin Y K,Cai G Q.Probabilistic Structural Dynamics[M].New York:April 16,2004.
[5]李忠献,史志利.行波激励下大跨度连续刚构桥的地震反应分析[J].地震工程与工程振动,2003,23(2):68—76.
[6]Burrus C S,Gopinath R A,Guo HT.Introduction toWavelets and Wavelet Transforms[M].Prentic HallPress,1998.
[7]Farge M.Wavelet tranform and their applications toturbulence[J].Annu.Rev.Fluid Mech.,1992,24:395-457.
[8]Jaideva C Goswami,Andrew K Chan.Fundamentalsfor Wavelets:Theory,Algorithms and Applications[M].New York:John Wiley&Sons,Inc,1999.
[9]Huang N E,Shen Z,Long S R,et al.The empiricalmode decomposition and the Hilbert spectrum fornonlinear and non-stationary time series analysis[J].Proceedings of the Royal Society of London,A,1998,454:903—995.
[10]Loh C H,Wu T C,Huang N E.Application of theempirical mode decomposition-Hilbert spectrummethod to identify near-fault ground-motion charac-teristics and structural responses[J].Bulletin of theSeismological Society of America,2001,91:1 339—1 357.
[11]Eng Y,Wang W,Qian C,et al.Boundary processingtechnique in EMD method and Hilbert transform[J].Chinese Science Bulletin,2001,46(3):954—961.
[12]Flandrin P,Rilling G,Goncalves P.Empirical modedecomposition as a filter bank[J].IEEE Sig.Poc.Lett.,2004,11(2):112—114.
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