基于Hilbert-Huang变换理论的结构损伤检测
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摘要
详细介绍了一种适合分析非线性非平稳数据的新方法——Hilbert-Huang变换,并将此方法应用于结构损伤检测。仿真实验是某三层剪切型建筑结构受两种不同地震烈度的地震动激励,结构在此过程中出现的损伤由层间刚度衰减的方法近似模拟,用巴特沃斯低通滤波器对得到的每层加速度数据进行滤波,然后对滤波后的数据进行Hilbert-Huang变换分析,得到其Hilbert谱,并对Hilbert谱进行了分析。结果表明,此方法能有效地提取结构的损伤特征,从而对结构的健康状况做出诊断。
This paper introduces a new method for analyzing nonlinear and non-stationary data-Hilbert-Huang transform,and applies it to the structural damage detection.The simulation experiment is that the three layer shear type building structure is excited by two earthquakes with different intensities,and the structural damage in this process is simulated by interlayer stiffness attenuation method approximately.We use Butterworth low-pass filter to filter every-floor acceleration data gained in the experiment,then use Hilbert-Huang transform to analyze the data already filtered to get the Hilbert spectrum.Through analyzing the Hilbert spectrum,results show that with this method,the damage information can be extracted from the measured response data effectively and the health conditions about the structure can be monitored.
This paper introduces a new method for analyzing nonlinear and non-stationary data-Hilbert-Huang transform,and applies it to the structural damage detection.The simulation experiment is that the three layer shear type building structure is excited by two earthquakes with different intensities,and the structural damage in this process is simulated by interlayer stiffness attenuation method approximately.We use Butterworth low-pass filter to filter every-floor acceleration data gained in the experiment,then use Hilbert-Huang transform to analyze the data already filtered to get the Hilbert spectrum.Through analyzing the Hilbert spectrum,results show that with this method,the damage information can be extracted from the measured response data effectively and the health conditions about the structure can be monitored.
引文
[1]Norden E.Huang,Zhen Shen.The empirical modedecomposition and the Hilbert spectrum for nonlinearand non-stationary time series analysis[J].Proc.R.Soc.Lond.A,1998,454:903-995
[2]Norden E.Huang,Zhen Shen.A new view of nonlin-ear water waver:the Hilbert spectrum[J].Ann RevFluid Mech,1999,31:417-457
[3]尚磊,徐勇勇,侯茹兰,等.采用三次样条函数拟合身高百分位数曲线[J].第四军医大学学报,2001,22(16):1525-1527Shang L,Xu Y Y,Hou R L,et al.Using cubicsmoothing spline fitting height centile curves[J].Journal of The Fourth Military Medical University,2001,22(16):1525-1527
[4]钟佑明,秦树人,汤宝平.Hilbert-Huang变换中的理论研究[J].振动与冲击,2002,21(4):13-17Zhong Y M,Qin S R,Tang B P.Study on the theoryof Hilbert-Huang Transform[J].Journal of Vibrationand Shock,2002,21(4):13-17
[5]公茂盛,谢礼立.HHT方法在地震工程中的应用之初步探讨[J].世界地震工程,2003,19(3):39-43Gong M S,Xie L L.Discussion on the application ofHHT method to earthquake engineering[J].WorldEarthquake Engineering,2003,19(3):39-43
[6]李钟慎.基于MATLAB设计巴特沃斯低通滤波器[J].信息技术,2003,27(3):49-51Li Z S.The design of Butterworth lowpass filter basedon MATLAB[J].Information Technology,2003,27(3):49-51
[2]Norden E.Huang,Zhen Shen.A new view of nonlin-ear water waver:the Hilbert spectrum[J].Ann RevFluid Mech,1999,31:417-457
[3]尚磊,徐勇勇,侯茹兰,等.采用三次样条函数拟合身高百分位数曲线[J].第四军医大学学报,2001,22(16):1525-1527Shang L,Xu Y Y,Hou R L,et al.Using cubicsmoothing spline fitting height centile curves[J].Journal of The Fourth Military Medical University,2001,22(16):1525-1527
[4]钟佑明,秦树人,汤宝平.Hilbert-Huang变换中的理论研究[J].振动与冲击,2002,21(4):13-17Zhong Y M,Qin S R,Tang B P.Study on the theoryof Hilbert-Huang Transform[J].Journal of Vibrationand Shock,2002,21(4):13-17
[5]公茂盛,谢礼立.HHT方法在地震工程中的应用之初步探讨[J].世界地震工程,2003,19(3):39-43Gong M S,Xie L L.Discussion on the application ofHHT method to earthquake engineering[J].WorldEarthquake Engineering,2003,19(3):39-43
[6]李钟慎.基于MATLAB设计巴特沃斯低通滤波器[J].信息技术,2003,27(3):49-51Li Z S.The design of Butterworth lowpass filter basedon MATLAB[J].Information Technology,2003,27(3):49-51
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