地铁引起地面振动信号的谱分析
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摘要
应用正交Hilbert-Huang变换,对地铁引起的地面振动信号进行频谱分析.首先,利用正交的经验模式分解方法,得到地铁引起地面振动信号的相互间完全正交的固有模式分量,对各阶固有模式分量进行Hilbert谱分析,进而得到Hilbert边际谱.然后,通过对地面振动信号的Hilbert边际谱进行分析,获得其频谱特性.将地铁引起地面振动信号的Hilbert边际谱和Fourier谱进行比较,指出两种谱分析方法分析地铁引起地面振动信号频谱特性的差异.最后根据Hilbert变换的线性性质,得到消除背景振动、纯粹由地铁运行引起地面振动的频谱特性.
The spectral analysis for recorded vibration data of ground motion induced by subway is studied by using orthogonal Hilbert-Huang transformation(HHT) in this paper.At first,orthogonal intrinsic mode functions(IMF) of the ground vibration data are obtained based on the orthogonal empirical mode decomposition method.The Hilbert spectral analysis is applied to the IMF components to achieve the marginal Hilbert spectra of the data.Then,the frequency characteristics of the ground vibration data are obtained through analyzing the marginal Hilbert spectra.Therefore,the differences of the frequency distributions of the ground vibrations calculated by the orthogonal HHT method and the Fourier spectral analysis method are revealed.Finally according to the linear property of HHT,the background vibration is eliminated from the ground vibration data measured at site and the real frequency distributions of the ground vibrations are extracted.
The spectral analysis for recorded vibration data of ground motion induced by subway is studied by using orthogonal Hilbert-Huang transformation(HHT) in this paper.At first,orthogonal intrinsic mode functions(IMF) of the ground vibration data are obtained based on the orthogonal empirical mode decomposition method.The Hilbert spectral analysis is applied to the IMF components to achieve the marginal Hilbert spectra of the data.Then,the frequency characteristics of the ground vibration data are obtained through analyzing the marginal Hilbert spectra.Therefore,the differences of the frequency distributions of the ground vibrations calculated by the orthogonal HHT method and the Fourier spectral analysis method are revealed.Finally according to the linear property of HHT,the background vibration is eliminated from the ground vibration data measured at site and the real frequency distributions of the ground vibrations are extracted.
引文
[1]HUNG Hsiaohui,YANG Yeongbin.A review of researches onground-borne vibrations with emphasis on those induced bytrains[J].Proceeding of the National Science Council,ROC(A).2001,25(1):1.
[2]Balendra T,Chua H,Lo K W,et al.Steady-state vibration of sub-way-soil-building system[J].Journal of Engineering Mechanics,1989,115(1):145.
[3]D.E.Newland.An introduction to random vibrations and spectralanalysis[M].London:Longman,1975.
[4]陈春俊,李华超.频域采样三角级数法模拟轨道不平顺信号[J].铁道学报,2006,28(3):38.CHEN Chunjun,LI Huachao.Track irregularity simulation infrequency domain sampling[J].Journal of the China Railway So-ciety,2006,28(3):38.
[5]赵林海,赵胜凯,穆建成.利用小波分析技术提取移频信号信息特征[J].铁道学报,2006,28(1):117.ZHAO Linhai,ZHAO Shengkai,MU Jiancheng.Using waveletanalysis technology for feature extraction of frequency shift signal[J].Journal of the China Railway Society.2006,28(1):117.
[6]武安绪,吴培稚,兰从欣,等.Hilbert-Huang变换与地震信号的时频分析[J].中国地震,2005,21(2):207.WU Anxu,WU Peizhi,LAN Congxin,et al.Hilbert-Huangtransform and time-frequency analysis of seismic signal[J].Earthquake Research in China.2005,21(2):207.
[7]王学敏,黄方林,陈政清.Hilbert-Huang变换在桥梁振动分析中的应用[J].铁道学报,2005,27(2):80.WANG Xuemin,HUANG Fanglin,CHEN Zhengqing.Application ofHilbert-Huang transform to the vibration analysis of bridges[J].Journal of the China Railway Society.2005,27(2):80.
[8]石春香,罗奇峰,施卫星.基于Hilbert-Huang变换方法的结构损伤诊断[J].同济大学学报:自然科学版,2005,33(1):16.SHI Chunxiang,LUO Qifeng,SHI Weixing.Hilbert-Huangtransform based approach for structural damage detection[J].Journal of Tongji University:Natural Science,2005,33(1):16.
[9]Huang N E,Okine N A.The Hilbert-Huang transform in engi-neering[M].Boca Raton:Taylor&Francis Group,LLC.2005.
[10]Huang N E,Shen Z,Long S R,et al.The empirical mode decom-position and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J].Proceeding of the Royal Soci-ety of London,1998,(454):903.
[11]楼梦麟,黄天立.正交化经验模式分解方法[J].同济大学学报:自然科学版,2007,35(3):293.LOU Menglin,Huang Tianli.The orthogonal empirical mode decom-position[J].Journal of Tongji University:Natural Science,2007,35(3):293.
[12]大崎顺彦.地震动的谱分析入门[M].吕敏申,谢礼立,译.北京:地震出版社,1980.Ohsaki Y.Spectral analysis of seismic motions[M].Translatedby LV Minshen,XIE Lili.Beijing:Seismic Press,1980.
[2]Balendra T,Chua H,Lo K W,et al.Steady-state vibration of sub-way-soil-building system[J].Journal of Engineering Mechanics,1989,115(1):145.
[3]D.E.Newland.An introduction to random vibrations and spectralanalysis[M].London:Longman,1975.
[4]陈春俊,李华超.频域采样三角级数法模拟轨道不平顺信号[J].铁道学报,2006,28(3):38.CHEN Chunjun,LI Huachao.Track irregularity simulation infrequency domain sampling[J].Journal of the China Railway So-ciety,2006,28(3):38.
[5]赵林海,赵胜凯,穆建成.利用小波分析技术提取移频信号信息特征[J].铁道学报,2006,28(1):117.ZHAO Linhai,ZHAO Shengkai,MU Jiancheng.Using waveletanalysis technology for feature extraction of frequency shift signal[J].Journal of the China Railway Society.2006,28(1):117.
[6]武安绪,吴培稚,兰从欣,等.Hilbert-Huang变换与地震信号的时频分析[J].中国地震,2005,21(2):207.WU Anxu,WU Peizhi,LAN Congxin,et al.Hilbert-Huangtransform and time-frequency analysis of seismic signal[J].Earthquake Research in China.2005,21(2):207.
[7]王学敏,黄方林,陈政清.Hilbert-Huang变换在桥梁振动分析中的应用[J].铁道学报,2005,27(2):80.WANG Xuemin,HUANG Fanglin,CHEN Zhengqing.Application ofHilbert-Huang transform to the vibration analysis of bridges[J].Journal of the China Railway Society.2005,27(2):80.
[8]石春香,罗奇峰,施卫星.基于Hilbert-Huang变换方法的结构损伤诊断[J].同济大学学报:自然科学版,2005,33(1):16.SHI Chunxiang,LUO Qifeng,SHI Weixing.Hilbert-Huangtransform based approach for structural damage detection[J].Journal of Tongji University:Natural Science,2005,33(1):16.
[9]Huang N E,Okine N A.The Hilbert-Huang transform in engi-neering[M].Boca Raton:Taylor&Francis Group,LLC.2005.
[10]Huang N E,Shen Z,Long S R,et al.The empirical mode decom-position and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J].Proceeding of the Royal Soci-ety of London,1998,(454):903.
[11]楼梦麟,黄天立.正交化经验模式分解方法[J].同济大学学报:自然科学版,2007,35(3):293.LOU Menglin,Huang Tianli.The orthogonal empirical mode decom-position[J].Journal of Tongji University:Natural Science,2007,35(3):293.
[12]大崎顺彦.地震动的谱分析入门[M].吕敏申,谢礼立,译.北京:地震出版社,1980.Ohsaki Y.Spectral analysis of seismic motions[M].Translatedby LV Minshen,XIE Lili.Beijing:Seismic Press,1980.
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