一种基于灵敏度矩阵进行桥梁损伤识别的方法
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摘要
重点研究了一种基于灵敏度矩阵对桥梁进行损伤识别的方法。基于振动分析的矩阵摄动理论,首先讨论了求取模态参数对结构物理参数灵敏度矩阵的方法,形成灵敏度矩阵的过程中避免了偏微分计算;基于灵敏度矩阵,建立了桥梁的损伤识别模型,并给出了此模型具体的求解方法;然后利用Guyan缩减的方法来缩减结构的模态自由度,保证了在进行损伤识别的过程中利用较少的模态参数,进而提高了方法的实用性;最后把所述方法应用于三跨预应力混凝土连续箱梁桥的实际损伤诊断工程。结果表明,利用所述方法进行预应力混凝土连续梁桥的损伤识别是有效的。
A method for bridge damage identification based on the sensitivity matrix theory was mainly studied.Firstly,sensitivity matrix of modal parameters with respect to structural physical parameters was obtained based on matrix perturbation theory,and partial derivatives calculation was avoided in the process of formulating the sensitivity matrix of structures.The damage identification model of bridge was established based on sensitivity matrix,and its specific solving method was presented.Then Guyan reduction method was adopted to reduce the modal freedom degree of structures to guarantee that less mode parameters are needed during formulating structural sensitivity and to improve the practicability of this method.Finally this method was applied on an actual demage identification project of a 3-span prestressed concrete continuous box-girder bridge.The results show that this method is effective for damage identification of prestressed concrete continuous beam bridge.
A method for bridge damage identification based on the sensitivity matrix theory was mainly studied.Firstly,sensitivity matrix of modal parameters with respect to structural physical parameters was obtained based on matrix perturbation theory,and partial derivatives calculation was avoided in the process of formulating the sensitivity matrix of structures.The damage identification model of bridge was established based on sensitivity matrix,and its specific solving method was presented.Then Guyan reduction method was adopted to reduce the modal freedom degree of structures to guarantee that less mode parameters are needed during formulating structural sensitivity and to improve the practicability of this method.Finally this method was applied on an actual demage identification project of a 3-span prestressed concrete continuous box-girder bridge.The results show that this method is effective for damage identification of prestressed concrete continuous beam bridge.
引文
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[11]陈龙珠,王建民,葛炜.结构动力参数灵敏度的合理分析[J].土木工程学报,2003,36(11):50-54.CHEN Long-zhu,WANG Jian-min,GE Wei.Rational Analy-sis for Sensitivity of Structure Dynamical Parameters[J].Ch-ina Civil Engineering Journal,2003,24(3):258-261.
[12]薛松涛,钱宇音,陈,等.采用二阶频率灵敏度的损伤识别和试验[J].同济大学学报,2003,31(3):263-267.XUE Song-tao,QIAN Yu-yin,CHEN Rong,et al.DamageIdentification and Experiments of Frame Structure Based onSecond-order Frequency Sensitivity[J].Journal of TongjiUniversity,2003,31(3):263-267.
[13]陈塑寰.结构振动分析的矩阵摄动理论[M].重庆:重庆出版社,1991.CHEN Su-huan.Matrix Perturbation Theory of Structure Vibra-tion Analysis[M].Chongqing:Chongqing Press,1991.
[14]谭国金.基于灵敏度方法的简支梁桥损伤识别[D].长春:吉林大学,2006.TAN Guo-jin.Damage Identification of Simple Supported BridgeBased on Sensitivity Method[D].Changchun:Jilin Universi-ty,2006.
[2]薛祥,霍达,滕海文,等.离散空间小波分析的环境荷载下桥梁的损伤识别[J].公路交通科技,2006,23(7):87-91.XUE Xiang,HUO Da,TENG Hai-wen,et al.Bridge Dam-age Detection Based on Discrete Spatial Wavelet Analysis byUsing Ambient Dynamic Loads[J].Journal of Highway andTransportation Research and Development,2006,23(7):87-91.
[3]STUBBS N,KIM J T.Field Verification of a NondestructiveDamage Localization and Sensitivity Estimator Algorithm[C]//Proceedings of the 13#International Modal AnalysisConference.1995:210-218.
[4]STUBBS N,KIM J T.Damage Localization in Structures with-out Baseline Modal Parameters[J].America Institute of Aero-nautics and Astronautics,1996,34(8):1 644-1 649.
[5]STUBBS N,KIM J T.Improved Damage Identification MethodBased on Modal Information[J].Sound and Vibration,2002,252(2):223-238.
[6]KOSMATKA J B,RICLES J M.Damage Detection in Struc-tures by Modal Vibration Characterization[J].Journal ofStructure Engineering,1999,125(12):1 384-1 392.
[7]ZHAO J,DEWOLF J T.Sensitivity Study for Vibration Param-eters Used in Damage Detection[J].Journal of Structure En-gineering,1999,125(4):410-416.
[8]LAM H F,KO J M,WONG C W.Localization of DamagedStructural Connections Based on Experimental Modal and Sensi-tivity Analysis[J].Journal of Sound and Vibration,1998,210(1):91-115.
[9]徐丽,易伟建,吴高烈.混凝土框架模型结构参数的识别[J].地震工程与工程振动,2006,26(4):121-126.XU Li,YI Wei-jian,WU Gao-lie.Parameter Identification ofa Model of Concrete Frame Structure[J].Earthquake Engi-neering and Engineering Vibration,2006,26(4):121-126.
[10]唐小兵,沈成武,陈定方.基于频率测试数据及灵敏度分析的悬臂梁多损伤位置识别[J].武汉交通科技大学学报,2000,24(3):258-261.TANG Xiao-bing,SHEN Cheng-wu,CHEN Ding-fang.Ident-ification of Multiple Damaged Location in a Cantilever BeamBased on Test Frequency Data and Sensitivity Analysis[J].Journal of Wuhan Transporta-tion University,2000,24(3):258-261.
[11]陈龙珠,王建民,葛炜.结构动力参数灵敏度的合理分析[J].土木工程学报,2003,36(11):50-54.CHEN Long-zhu,WANG Jian-min,GE Wei.Rational Analy-sis for Sensitivity of Structure Dynamical Parameters[J].Ch-ina Civil Engineering Journal,2003,24(3):258-261.
[12]薛松涛,钱宇音,陈,等.采用二阶频率灵敏度的损伤识别和试验[J].同济大学学报,2003,31(3):263-267.XUE Song-tao,QIAN Yu-yin,CHEN Rong,et al.DamageIdentification and Experiments of Frame Structure Based onSecond-order Frequency Sensitivity[J].Journal of TongjiUniversity,2003,31(3):263-267.
[13]陈塑寰.结构振动分析的矩阵摄动理论[M].重庆:重庆出版社,1991.CHEN Su-huan.Matrix Perturbation Theory of Structure Vibra-tion Analysis[M].Chongqing:Chongqing Press,1991.
[14]谭国金.基于灵敏度方法的简支梁桥损伤识别[D].长春:吉林大学,2006.TAN Guo-jin.Damage Identification of Simple Supported BridgeBased on Sensitivity Method[D].Changchun:Jilin Universi-ty,2006.
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