基于Hilbert边际谱与随机-模糊统计原理的梁桥损伤识别试验研究
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摘要
HHT是一种新的适用于非线性、非平稳信号且具有自适应性的数据处理方法,而桥梁试验模型空间变异的模糊性和测量过程中荷载激励的随机性,使得Hilbert边际谱能量比同时具有随机不确定性和模糊不确定性,适用于被随机-模糊统计原理处理,提出了基于Hilbert边际谱与随机-模糊统计原理的结构损伤识别方法,并将四个Hilbert边际谱能量指标应用到室内两跨连续梁模型桥的损伤识别中。结果表明:主梁损伤前后四种能量指标都发生了变化,但是能量累积变异指标和能量变异最值指标能准确指示出损伤位置和程度,比能量比偏差和能量比方差对于结构损伤更加敏感,更适用于桥梁实时在线的预测预警系统。
HHT(Hilbert-Huang transformation) is a novel data analysis method which can be used in the case of adaptively processing nonlinear non-stationary data.Fuzzy characteristics of bridge test model and random characteristics of load excitation result in Hilbert marginal spectrum energy ratio to be disposed by random-fuzzy statistics principle,because it includes both random error and fuzzy error.The method of HHT combined with random-fuzzy statistics principle was proposed to distinguish structural damages.Four Hilbert marginal spectrum energy indexes were applied to damage recognitions of a continuous two-spans girder bridge model in the lab.The results indicate that four Hilbert marginal spectrum energy indexes will all change before and after girder damage,however the accumulated energy variation index and the max energy variation index can denote damage location and extent accurately,and are more sensitive than the energy ratio deviation and the energy ratio variance to structural damages,so they are more applicable in the bridge online alarming system.
HHT(Hilbert-Huang transformation) is a novel data analysis method which can be used in the case of adaptively processing nonlinear non-stationary data.Fuzzy characteristics of bridge test model and random characteristics of load excitation result in Hilbert marginal spectrum energy ratio to be disposed by random-fuzzy statistics principle,because it includes both random error and fuzzy error.The method of HHT combined with random-fuzzy statistics principle was proposed to distinguish structural damages.Four Hilbert marginal spectrum energy indexes were applied to damage recognitions of a continuous two-spans girder bridge model in the lab.The results indicate that four Hilbert marginal spectrum energy indexes will all change before and after girder damage,however the accumulated energy variation index and the max energy variation index can denote damage location and extent accurately,and are more sensitive than the energy ratio deviation and the energy ratio variance to structural damages,so they are more applicable in the bridge online alarming system.
引文
[1]李爱群,丁幼亮.工程结构损伤预警理论及其应用[M].北京:科学出版社,2007.
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[3]Huang N E,Shen Z,Long S R,et al.The empirical modedecomposition and the Hilbert spectrum for nonlinear andnon-station time series analysis[J].Proc.R.Soc.A,1998,454:903-995.
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[5]石春香,罗奇峰,施卫星.基于Hilbert-Huang变换的结构损伤诊断[J].同济大学学报(自然科学版),2005,33(1):16-20.
[6]寇立夯,金峰.基于HHT方法的结构模态参数识别[J].水利水电科技进展,2008,28(3):45-49.
[7]李传习,陈富强.基于HHT的结构损伤特征量与异常诊断[J].长沙理工大学学报(自然科学版),2007,4(3):29-33.
[8]熊飞,程远胜,刘均.基于HHT方法的时变多自由度系统的损伤识别[J].振动、测试与诊断,2008,28(2):122-126.
[9]Buckley J J.Fuzzy prediction in linear regression[A].Studies in Fuzziness and Soft Computing,Fuzzy Probabilityand Statistics,2006:177-179.
[10]李胡生.岩土参数随机-模糊统计中的隶属函数形式[J].同济大学学报,1993,(3):361-368.
[2]石春香,罗奇峰.时程信号的Hilbert-Huang变换与小波分析[J].地震学报(中文版),2003,25(4):398-405.
[3]Huang N E,Shen Z,Long S R,et al.The empirical modedecomposition and the Hilbert spectrum for nonlinear andnon-station time series analysis[J].Proc.R.Soc.A,1998,454:903-995.
[4]Yang J N,Lei Y,Huang N,Damage identification of civilengineering structures using Hilbert-Huang transform[C].3rdInternational Workshop on Structural Health Monitoring,2001:544-553.
[5]石春香,罗奇峰,施卫星.基于Hilbert-Huang变换的结构损伤诊断[J].同济大学学报(自然科学版),2005,33(1):16-20.
[6]寇立夯,金峰.基于HHT方法的结构模态参数识别[J].水利水电科技进展,2008,28(3):45-49.
[7]李传习,陈富强.基于HHT的结构损伤特征量与异常诊断[J].长沙理工大学学报(自然科学版),2007,4(3):29-33.
[8]熊飞,程远胜,刘均.基于HHT方法的时变多自由度系统的损伤识别[J].振动、测试与诊断,2008,28(2):122-126.
[9]Buckley J J.Fuzzy prediction in linear regression[A].Studies in Fuzziness and Soft Computing,Fuzzy Probabilityand Statistics,2006:177-179.
[10]李胡生.岩土参数随机-模糊统计中的隶属函数形式[J].同济大学学报,1993,(3):361-368.
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