基于盲源分离的钢筋混凝土梁非线性振动特性分析
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摘要
将盲源分离技术应用于结构非线性振动特性分析,在小波软阈值去噪的基础上,用二阶统计量盲辨识(SOBI)算法从结构的振动信号中分离出第一阶振动分量,然后利用Hilbert变换得到频率与振幅的关系。在数值仿真算例的基础上,采用钢筋混凝土简支梁和预应力箱梁的试验数据,验证了在分析结构非线性振动特性时,盲源分离技术抗噪性好,比短时傅氏变换更易操作。结果表明:在较小损伤的情况下,利用非线性振动特性识别结构损伤程度,有时比由基于线性振动的模态识别得到的结构频率改变的方式更可靠。
Blind source separation was used to analyze non-linear vibration of RC beams.The algorithm called second-order blind identification was applied to the structural vibration signals de-noised by wavelet soft-thresholding to acquire the first order vibrational component,which was then processed by Hilbert transformation to get the frequency-amplitude curve.Based on the verification by finite element simulations,the recorded vibration signals of a RC simple beam and a prestressed simple box-beam were analyzed by the above procedures.The results show that blind source separation has good ability of anti-noise and is better than short time Fourier transformation regarding ease of implementation.In addition,the damage identification by non-linear vibration analysis is reliable than that by frequency change obtained by traditional modal analysis based on linear vibration.
Blind source separation was used to analyze non-linear vibration of RC beams.The algorithm called second-order blind identification was applied to the structural vibration signals de-noised by wavelet soft-thresholding to acquire the first order vibrational component,which was then processed by Hilbert transformation to get the frequency-amplitude curve.Based on the verification by finite element simulations,the recorded vibration signals of a RC simple beam and a prestressed simple box-beam were analyzed by the above procedures.The results show that blind source separation has good ability of anti-noise and is better than short time Fourier transformation regarding ease of implementation.In addition,the damage identification by non-linear vibration analysis is reliable than that by frequency change obtained by traditional modal analysis based on linear vibration.
引文
[1]Neild S A,Williams M S,McFadden P D.Nonlinearvibration characteristic of damaged concrete beams[J].Journal of Structural Engineering,2003,129(2):260―268.
[2]王利恒,周锡元,阎维明,等.钢筋混凝土梁非线性动力特性试验研究[J].地震研究,2006,29(1):65―71.Wang Liheng,Zhou Xiyuan,Yan Weiming,et al.Teststudy on nonlinear dynamic characteristics of reinforcedconcrete beams[J].Journal of Seismological Research,2006,29(1):65―71.(in Chinese)
[3]易伟建,段素萍.带裂缝钢筋混凝土梁的非线性振动特征识别[J].振动与冲击,2008,27(3):27―41.Yi Weijian,Duan Suping.Identification of nonlineardynamical characteristics of cracked reinforced concretebeam[J].Journal of Vibration and Shock,2008,27(3):27―41.(in Chinese)
[4]马建仓,牛奕龙,陈海洋.盲信号处理[M].北京:国防工业出版社,2006:120―125.Ma Jiancang,Niu Yilong,Chen Haiyang.Blind signalprocessing[M].Beijing:National Defence Industry Press,2006:120―125.(in Chinese)
[5]Kerschen G,Poncelet F,Golinval J C.Physicalinterpretation of independent component analysis instructural dynamics[J].Mechanical Systems and SignalProcessing,2007,21:1561―1575.
[6]Zhou W,Chelidze D.Blind source separation basedvibration mode identification[J].Mechanical Systemsand Signal Processing,2007,21:3072―3087.
[7]McNeill S I,Zimmerman D C.A framework for blindmodal identification using joint approximatediagonalization[J].Mechanical Systems and SignalProcessing,2008,22:1526―1548.
[8]张晓丹.基于盲源分离技术的工程结构模态参数识别方法研究[D].北京:北京交通大学,2010.Zhang Xiaodan.Study on structural modal identificationusing blind sources separation techniques[D].Beijing:Beijing Jiaotong University,2010.(in Chinese)
[9]Donoho D L.De-noising by soft-thresholding[J].IEEETransactions on Information Theory,1995,41(3):613―626.
[10]Deraemaeker A,Reynders E,Roeck G De,Kullaa J.Vibration-based structural health monitoring usingoutput-only measurements under changing environment[J].Mechanical Systems and Signal Processing,2008,22:34―56.
[2]王利恒,周锡元,阎维明,等.钢筋混凝土梁非线性动力特性试验研究[J].地震研究,2006,29(1):65―71.Wang Liheng,Zhou Xiyuan,Yan Weiming,et al.Teststudy on nonlinear dynamic characteristics of reinforcedconcrete beams[J].Journal of Seismological Research,2006,29(1):65―71.(in Chinese)
[3]易伟建,段素萍.带裂缝钢筋混凝土梁的非线性振动特征识别[J].振动与冲击,2008,27(3):27―41.Yi Weijian,Duan Suping.Identification of nonlineardynamical characteristics of cracked reinforced concretebeam[J].Journal of Vibration and Shock,2008,27(3):27―41.(in Chinese)
[4]马建仓,牛奕龙,陈海洋.盲信号处理[M].北京:国防工业出版社,2006:120―125.Ma Jiancang,Niu Yilong,Chen Haiyang.Blind signalprocessing[M].Beijing:National Defence Industry Press,2006:120―125.(in Chinese)
[5]Kerschen G,Poncelet F,Golinval J C.Physicalinterpretation of independent component analysis instructural dynamics[J].Mechanical Systems and SignalProcessing,2007,21:1561―1575.
[6]Zhou W,Chelidze D.Blind source separation basedvibration mode identification[J].Mechanical Systemsand Signal Processing,2007,21:3072―3087.
[7]McNeill S I,Zimmerman D C.A framework for blindmodal identification using joint approximatediagonalization[J].Mechanical Systems and SignalProcessing,2008,22:1526―1548.
[8]张晓丹.基于盲源分离技术的工程结构模态参数识别方法研究[D].北京:北京交通大学,2010.Zhang Xiaodan.Study on structural modal identificationusing blind sources separation techniques[D].Beijing:Beijing Jiaotong University,2010.(in Chinese)
[9]Donoho D L.De-noising by soft-thresholding[J].IEEETransactions on Information Theory,1995,41(3):613―626.
[10]Deraemaeker A,Reynders E,Roeck G De,Kullaa J.Vibration-based structural health monitoring usingoutput-only measurements under changing environment[J].Mechanical Systems and Signal Processing,2008,22:34―56.
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