基于能量指标的结构损伤识别理论与试验研究
|
摘要
随着社会发展、科技进步以及人们对安全需求的提升,结构损伤识别吸引了众多学者的目光,已经成为土木工程领域的一个研究热点。土木工程结构损伤识别技术对保护人民的生命财产安全有着重大的作用,开展这方面的研究具有重要的意义。
现有的基于振动的结构损伤识别方法主要是频域的,在实际应用中具有局限性。时域损伤识别方法,利用时域测量信号,直接在时域内进行损伤识别,不需要完备的模态信息,不会丢失信号的时域信息,有利于应用在实时、在线的健康监测中;基于能量的结构损伤识别方法,将局部的损伤信息与结构局部能量的变化联系起来,对损伤更为敏感,而且不需要阵型求解、结构建模。基于此,本论文在国家自然科学基金(No.50378041,50778077)的资助下,进行了基于能量指标的结构损伤识别理论与试验研究。
本文在如下几个方面进行了研究,综合应用理论分析、数值模拟以及试验验证等手段,取得了一些结论和成果:
(1)统计矩实质上是一种时域能量指标,具有很好的抗噪声干扰能力,对剪切型结构效果很好,但是不适合弯曲型结构。为此,针对弯曲型梁结构,提出了损伤识别两步法:先识别损伤单元位置,再针对已识别的损伤单元利用模型修正得到其损伤程度。同时提出了位移4阶统计矩曲率指标,用来完成损伤定位工作。数值算例表明,位移4阶统计矩曲率指标具有很好的定位能力,该方法可以有效识别弯曲型结构的损伤,具有很好的抗噪能力。
(2)提出了基于加速度测试数据的动能密度指标,并建立了损伤识别方法。利用该方法进行了简支梁结构的损伤定位,结合弯曲弹簧模型,识别了梁的裂纹深度。针对动能密度指标的局限性,利用基线修正、小波包变换等技术对该方法进行修正。通过连续梁数值模拟和一空间钢框架的试验,证明了该方法的损伤识别能力及抗噪能力。
(3)结合一悬臂梁结构,通过理论推导表明:应变变化与结构的损伤单元位置一一对应,局部的损伤仅能引起对应部位应变的变化,远离损伤地方的应变不发生变化;而位移则不具备此特性,一处的损伤可以引起另一处位移的很大变化。因此,应变类参数非常适合于损伤定位。
(4)提出了基于结构应变响应的伪比能指标,能够准确地指示结构的损伤部位。通过缺口平滑拟合(GSM)技术,可以通过损伤后的伪比能曲线拟合出未损伤的伪比能指标值,这样,该方法就不需要未损伤时的信息作为基准,这对于大部分现役结构的损伤识别意义重大。另外,发展了统计伪比能指标与伪比能灰色关联系数指标,拓展了伪比能指标的形式,提高了其识别效力。通过与遗传算法的结合,该方法可以在识别出损伤位置的基础上定量得到损伤单元的损伤程度,与传统的单一优化算法相比,该方法大大降低了计算时间,提高了识别效率。
(5)小波(包)变换是进行信号预处理的强大工具,原始测试信号通过小波(包)分解与重构,选择其中最有效的信号成分,可以提高信号对损伤的敏感性、剔除引发误判的潜在因素,同时可以降低噪声的影响。
(6)通过理论推导表明,压电薄膜能够用于一维梁结构、二维板结构的动态应变测量工作,压电薄膜的测量电荷与结构被测部位的应变有着确定的正比关系,可以通过测量电荷直接得到应变大小。试验结果也表明了压电薄膜可以用于分布测量结构各部位的动态应变响应。
(7)利用压电薄膜测量了铝梁、铝板试件各工况下的动态应变信号,将其用于伪比能法的损伤识别中;尽管试验中还存在一些问题,但结果总体上还是可以接受的,这也进一步验证了该损伤识别方法的有效性和实用性。
With the social development, scientific progress and aggrandizement of people's safety requirement, structural damage identification is attracting more attention and becomes a new research focus in the field of civil engineering, because it does play an important role in the operation of protecting people's life and property. Therefore, it is a significant work to study on this subject.
Many damage identification methods have been developed and, most of them are frequency-domain ones which possess some limitations in practical applications. In contrast, time-domain methods utilize the measured signals to detect structural damage in time-domain directly, requiring no perfect structural modal parameters and preserving the original time-domain information of tested signals. As a result, they are suitable for the real-time and online structural health monitoring. At the same time, energy indexes are sensitive to structural damages which induce the structural local energy changes. Thereby, energy indexes-based methods do well in this subject and they do not need structural model building and modal shape analyzing. Based on aforementioned background and supported by the National Natural Science Foundation of China (No. 50378041 & 50778077), in this dissertation, theoretical and experimental studies of structural damage identification based on energy indexes have been implemented.
In this dissertation, following aspects have been studied theoretically, numerically and experimentally and, some important results and conclusions have been acquired:
(1) The statistical moment, which has been used to develop a new damage detection method for shear building structures, is a time-domain energy index essentially. It is a good damage index with strong noise robustness. However, it is only effective for shear type structures but ineffective for bending type ones. A progress is made to the index for damage identification in bending type structures here using a two-step method: first, the locations of damaged elements are detected utilizing a new index proposed here, named statistical moment curvature; then, the damage extent of these elements is identified with a model updating method. The effectiveness of this new method is verified with a numerical example.
(2) A new damage detection technique based on kinetic energy density, which is firstly developed applying the tested acceleration signals, is presented here. Associating with the rotational spring model, it identifies both the crack location and depth in a beam model successfully. Then, the limitation of this method is pointed out and, overcomed with some techniques such as wavelet packet transform and correction of datum line. The diagnosis results of a numerical continuous beam and a 3D steel frame confirm the damage detection ability and noise robustness of this new method.
(3) A theoretical analysis based on a cantilever is accomplished to prove the following argues: structural damages cause strain changes in the corresponding locations, which implies a one-to-one correspondence between the strain changes and damage locations; however, displacement changes do not possess this property because a damage occurring in one element could induce displacement variation of another element. Thus, not the displacement type parameters but the strain ones are good for damage localization.
(4) A strategy using strain test data for damage detection is proposed by defining a new index named "Pseudo Strain Energy Density (PSED)". Applying the gapped-smoothing method, the undamaged PSED curve can be obtained from the damaged one and this new strategy becomes a non-baseline one which is significant to the damage estimation when lacking the undamaged information. Furthermore, two other indexes, the statistical PSED and PSED grey relation coefficient, are addressed for damage localization. By combining the PSED method with the genetic algorithm, both the damage location and damage extent can be identified and the analysis time decreases sharply.
(5) Wavelet packet transform is proved to be a strong tool for signal preprocessing. In these damage identification methods, it is utilized to accomplish signal decomposition and recomposition. During this process, the most useful signal components are extracted and used for damage detection. Meanwhile, the noise effect is lightened.
(6) A theoretical analysis is accomplished to prove that the polyvinylidene fluoride (PVDF) can be used to measure the structural dynamic strain. And the expressions about the structural strain and the tested PVDF electric charges for both 1D beam structures and 2D plate structures are deduced theoretically. A PVDF-based dynamic strain measurement experiment is designed and accomplished. The experimental results confirm the strain measuring ability of PVDF.
(7) Decades of PVDF patches are used to measure dynamic strains of both an aluminum beam and plate in different damaged cases. The experimental data are obtained for damage identification using the PSED-based method. The results are acceptable although there are some defects in the experiment, which also confirms the practical effectiveness of the PSED-based method.
现有的基于振动的结构损伤识别方法主要是频域的,在实际应用中具有局限性。时域损伤识别方法,利用时域测量信号,直接在时域内进行损伤识别,不需要完备的模态信息,不会丢失信号的时域信息,有利于应用在实时、在线的健康监测中;基于能量的结构损伤识别方法,将局部的损伤信息与结构局部能量的变化联系起来,对损伤更为敏感,而且不需要阵型求解、结构建模。基于此,本论文在国家自然科学基金(No.50378041,50778077)的资助下,进行了基于能量指标的结构损伤识别理论与试验研究。
本文在如下几个方面进行了研究,综合应用理论分析、数值模拟以及试验验证等手段,取得了一些结论和成果:
(1)统计矩实质上是一种时域能量指标,具有很好的抗噪声干扰能力,对剪切型结构效果很好,但是不适合弯曲型结构。为此,针对弯曲型梁结构,提出了损伤识别两步法:先识别损伤单元位置,再针对已识别的损伤单元利用模型修正得到其损伤程度。同时提出了位移4阶统计矩曲率指标,用来完成损伤定位工作。数值算例表明,位移4阶统计矩曲率指标具有很好的定位能力,该方法可以有效识别弯曲型结构的损伤,具有很好的抗噪能力。
(2)提出了基于加速度测试数据的动能密度指标,并建立了损伤识别方法。利用该方法进行了简支梁结构的损伤定位,结合弯曲弹簧模型,识别了梁的裂纹深度。针对动能密度指标的局限性,利用基线修正、小波包变换等技术对该方法进行修正。通过连续梁数值模拟和一空间钢框架的试验,证明了该方法的损伤识别能力及抗噪能力。
(3)结合一悬臂梁结构,通过理论推导表明:应变变化与结构的损伤单元位置一一对应,局部的损伤仅能引起对应部位应变的变化,远离损伤地方的应变不发生变化;而位移则不具备此特性,一处的损伤可以引起另一处位移的很大变化。因此,应变类参数非常适合于损伤定位。
(4)提出了基于结构应变响应的伪比能指标,能够准确地指示结构的损伤部位。通过缺口平滑拟合(GSM)技术,可以通过损伤后的伪比能曲线拟合出未损伤的伪比能指标值,这样,该方法就不需要未损伤时的信息作为基准,这对于大部分现役结构的损伤识别意义重大。另外,发展了统计伪比能指标与伪比能灰色关联系数指标,拓展了伪比能指标的形式,提高了其识别效力。通过与遗传算法的结合,该方法可以在识别出损伤位置的基础上定量得到损伤单元的损伤程度,与传统的单一优化算法相比,该方法大大降低了计算时间,提高了识别效率。
(5)小波(包)变换是进行信号预处理的强大工具,原始测试信号通过小波(包)分解与重构,选择其中最有效的信号成分,可以提高信号对损伤的敏感性、剔除引发误判的潜在因素,同时可以降低噪声的影响。
(6)通过理论推导表明,压电薄膜能够用于一维梁结构、二维板结构的动态应变测量工作,压电薄膜的测量电荷与结构被测部位的应变有着确定的正比关系,可以通过测量电荷直接得到应变大小。试验结果也表明了压电薄膜可以用于分布测量结构各部位的动态应变响应。
(7)利用压电薄膜测量了铝梁、铝板试件各工况下的动态应变信号,将其用于伪比能法的损伤识别中;尽管试验中还存在一些问题,但结果总体上还是可以接受的,这也进一步验证了该损伤识别方法的有效性和实用性。
With the social development, scientific progress and aggrandizement of people's safety requirement, structural damage identification is attracting more attention and becomes a new research focus in the field of civil engineering, because it does play an important role in the operation of protecting people's life and property. Therefore, it is a significant work to study on this subject.
Many damage identification methods have been developed and, most of them are frequency-domain ones which possess some limitations in practical applications. In contrast, time-domain methods utilize the measured signals to detect structural damage in time-domain directly, requiring no perfect structural modal parameters and preserving the original time-domain information of tested signals. As a result, they are suitable for the real-time and online structural health monitoring. At the same time, energy indexes are sensitive to structural damages which induce the structural local energy changes. Thereby, energy indexes-based methods do well in this subject and they do not need structural model building and modal shape analyzing. Based on aforementioned background and supported by the National Natural Science Foundation of China (No. 50378041 & 50778077), in this dissertation, theoretical and experimental studies of structural damage identification based on energy indexes have been implemented.
In this dissertation, following aspects have been studied theoretically, numerically and experimentally and, some important results and conclusions have been acquired:
(1) The statistical moment, which has been used to develop a new damage detection method for shear building structures, is a time-domain energy index essentially. It is a good damage index with strong noise robustness. However, it is only effective for shear type structures but ineffective for bending type ones. A progress is made to the index for damage identification in bending type structures here using a two-step method: first, the locations of damaged elements are detected utilizing a new index proposed here, named statistical moment curvature; then, the damage extent of these elements is identified with a model updating method. The effectiveness of this new method is verified with a numerical example.
(2) A new damage detection technique based on kinetic energy density, which is firstly developed applying the tested acceleration signals, is presented here. Associating with the rotational spring model, it identifies both the crack location and depth in a beam model successfully. Then, the limitation of this method is pointed out and, overcomed with some techniques such as wavelet packet transform and correction of datum line. The diagnosis results of a numerical continuous beam and a 3D steel frame confirm the damage detection ability and noise robustness of this new method.
(3) A theoretical analysis based on a cantilever is accomplished to prove the following argues: structural damages cause strain changes in the corresponding locations, which implies a one-to-one correspondence between the strain changes and damage locations; however, displacement changes do not possess this property because a damage occurring in one element could induce displacement variation of another element. Thus, not the displacement type parameters but the strain ones are good for damage localization.
(4) A strategy using strain test data for damage detection is proposed by defining a new index named "Pseudo Strain Energy Density (PSED)". Applying the gapped-smoothing method, the undamaged PSED curve can be obtained from the damaged one and this new strategy becomes a non-baseline one which is significant to the damage estimation when lacking the undamaged information. Furthermore, two other indexes, the statistical PSED and PSED grey relation coefficient, are addressed for damage localization. By combining the PSED method with the genetic algorithm, both the damage location and damage extent can be identified and the analysis time decreases sharply.
(5) Wavelet packet transform is proved to be a strong tool for signal preprocessing. In these damage identification methods, it is utilized to accomplish signal decomposition and recomposition. During this process, the most useful signal components are extracted and used for damage detection. Meanwhile, the noise effect is lightened.
(6) A theoretical analysis is accomplished to prove that the polyvinylidene fluoride (PVDF) can be used to measure the structural dynamic strain. And the expressions about the structural strain and the tested PVDF electric charges for both 1D beam structures and 2D plate structures are deduced theoretically. A PVDF-based dynamic strain measurement experiment is designed and accomplished. The experimental results confirm the strain measuring ability of PVDF.
(7) Decades of PVDF patches are used to measure dynamic strains of both an aluminum beam and plate in different damaged cases. The experimental data are obtained for damage identification using the PSED-based method. The results are acceptable although there are some defects in the experiment, which also confirms the practical effectiveness of the PSED-based method.
引文
[1]Lichtenstein Abba G.Silver bridge collapse recounted.Journal of Performance of Constructed Facilities,1993,7(4):249-261
[2]Cho H N,Lim J K,Choi H H.Reliability-based fatigue failure analysis for causes assessment of a collapsed steel truss bridge.Engineering Failure Analysis,2001,8(4):311-324
[3]刘俊彦.綦江“彩虹桥”坍塌事件给我们的警示.陕西档案,1999,(4):28-29
[4]杨青生.广西平南两幢五层楼房倒塌 近20人被埋.南国早报,2002年10月11日
[5]梁鹏.郑州7层楼倒塌3人死.新京报,2006年7月8日
[6]邓霞,刘双双.湖南株洲坍塌事故清理工作结束共9死16伤.中国新闻网,2009年5月18日
[7]Lifshitz J M and Rotem A.Determination of reinforcement unbonding of composites by a vibration technique.Journal of Composite Materials,1969,3(3):412-423
[8]杨智春,于哲峰.结构健康监测中的损失检测技术研究进展.力学进展,2004,34(2):15-223
[9]Vandiver J K.Detection of structural failure on fixed platforms by measurement of dynamic response.Journal of Petroleum Technology,1977,29(3):305-310
[10]Ni Y Q,Jiang S F,Ko J M.Application of adaptive probabilistic neural network to damage detection of Tsing Ma suspension bridge,in:Chase S B and Aktan A E.Health Monitoring and Management of Civil Infrastructure Systems.Newport Beach (CA):SPIE,2001:347-356
[11]王丹生,吴宁,朱宏平.光纤光栅传感器在桥梁工程中的研究与应用现状.公路交通科技,2004,21(2):57-61
[12]秦权.桥梁结构的健康监测.中国公路学报,2000,13(2):37-42
[13]Reich Gregory William.Localized structural health monitoring via transmission zero invariance:[PhD Thesis].Boulder:University of Colorado at Boulder,2000
[14]Rytter A.Vibration based inspection of civil engineering structures:[PhD Thesis].Denmark:Aalborg University,1993
[15]Sanayer M and Onipede O.Damage assessment of structures using static test data.AIAA Journal,1991,29(7):1174-1179.
[16]Hjelmstad K D and Shin S.Damage detection and assessment of structures from static response.Journal of Engineering Mechanics,1997,123(6):568-576.
[17]Doebling S W,Farrar C R,Prime M B.A summary review of vibration-based damage identification methods.The Shock and Vibration Digest,1998,30(2):91-105
[18]Lifshitz J M and Rotem A.Determination of reinforcement unbonding of composites by a vibration technique.Journal of Composite Materials,1969,3(3):412-423
[19]Cawley P and Adams R D.The location of defects in structures from measurements of natural frequencies.Journal of Strain Analysis,1979,14(2):49-57
[20]Studdbs N and Osegueda R.Global non-destructive damage evaluation in solids.Modal Analysis:The International Journal of Analytical and Experimental Modal Analysis,1990,5(2):67-79
[21]Studdbs N and Osegueda R.Global damage detection in solids:experimental verification.Modal Analysis:The International Journal of Analytical and Experimental Modal Analysis,1990,5(2):81-97
[22]Sophia H and Garrett D J.Identification of stiffness reduction using natural frequencies.Journal of Engineering Mechanics,121(10):1106-1113
[23]Xue S,Li Y,Xie Q.Frequnecy-sensitivity-based frame structural damage identification experiments.Jido Seigyo Rengo Koenkai Maezuri,2001,44:208-211
[24]Zhu H P,Li L,Wang D S.Damage assessment in periodic structures from measured natural frequencies by a sensitivity and transfer matrix-based method.Structural Engineering and Mechanics,2003,16(1):17-34
[25] Friswell M I, Penny J E T, Wilson D A L. Using vibration data and statistical measures to locate damage in structures. Modal Analysis: The International Journal of Analytical and Experimental Modal Analysis, 1994,9(4): 239-254
[26] Zhu H P and Xu Y L. Damage detection of mono-coupled periodic structures based on sensitivity analysis of modal parameters. Journal of Sound and Vibration, 2005, 285(1-2): 365-390
[27] Xia Y and Hao Hong. Statistical damage identification of structures with frequency changes. Journal of Sound and Vibration, 2003,263(4): 853-870
[28] Jiang L J, Tang J, Wang K W. An optiamal sensitivity-enhancing feedback control approach via eigenstructure assignment for structural damage identification. Journal of Vibration and Acoustics, 2007,129(6): 771-783
[29] Jiang L J and Wang K W. An experiment-based frequency sensitivity enhancing control approach for structural damage detection. Smart Materials and Structures, 2009,18(6): 065005-1-12
[30] Hearn G and Testa R B. Modal analysis for damage detection in structures. Journal of Structural Engineering, 1991,117(10): 3042-3063
[31] Messina A, Williams E J, Contursi T. Structural damage detection by a sensitivity and statistical-based method. Journal of Sound and Vibration, 1998,216(5): 791-808
[32] Koh C G, See L M, Balendra T. Damage detection of buildings: numerical and experimental studies. Journal of Structural Engineering, 1995,121(8): 1155-1160
[33] Morassi A and Rovere N. Localizing a notch in a steel frame from frequency measurements. Journal of Engineering Mechanics, 123(5): 422-432
[34] Salawu O S. Detection of structural damage through changes in frequency: a review. Engineering Structures, 1997, 19(9): 718-723
[35] Xia Y, Hao H, Zanardo G, et al. Long term vibration monitoring of an RC slab: Temperature and humidity effect. Engineering Structures, 2006,28(3): 441-452
[36] West W M. Illustration of the use of modal assurance criterion to detect structural changes in an orbiter test specimen,in:DeMichele D J.Proceedings of the 4~(th)International Modal Analysis Conference.Bethel:Society for Experimental Mechanics,Inc.,1986:1-6
[37]Fox C H J.The location of defects in structures:a comparison of the use of natural frequency and mode shape data.in:DeMichele D J.Proceedings of the 10~(th)International Modal Analysis Conference.Bethel:Society for Experimental Mechanics,Inc.,1992:522-528
[38]Lieven N A J and Ewins D J.Spatial correlation of mode shapes,the Coordinate Modal Assurance Criterion(COMAC).in:DeMichele D J.Proceedings of the 6~(th)International Modal Analysis Conference.Bethel:Society for Experimental Mechanics,Inc.,1988:690-695
[39]Salawu O S and Willianms C.Bridge assessment using forced-vibration testing.Journal of Structural Engineering,1995,121(2):161-173
[40]Ko J M,Wong C W,Lam H F.Damage detection in steel framed structures by vibration measurement approach,in:DeMichele D J.Proceedings of the 12~(th)International Modal Analysis Conference.Bethel:Society for Experimental Mechanics,Inc.,1994:280-286
[41]Ndambi J M,Vantaomme J,Harri K.Damage assessment in reinforced concrete beams using eigenfrequencies and mode shape derivatives.Engineering Structures,2002,24(4):501-515
[42]李林,王伟,朱宏平.基于一阶振型斜率的剪切型建筑结构损伤定位.华中科技大学学报(自然科学版),2007,35(7):114-117
[43]李林.剪切型框架结构损伤检测的数值与试验研究[博士学位论文].武汉:华中科技大学,2005
[44]Pandey A K,Biswas M,Samman M M.Damage detection from changes in curvature mode shapes.Journal of Sound and Vibration,1991,145(2):321-332
[45]Wahab M M A and Roeck G D.Damage detection in bridges using modal curvatures: Application to a real damage scenario.Journal of Sound and Vibration,1999,226(2):217-235
[46]Ratcliffe C P.Damage detection using a modified Laplacian operator on mode shape data.Journal of Sound and Vibration,1997,204(3):505-517
[47]Qiao P Z,Lu K,Lestari W,et al.Curvature mode shape-based damage detection in composite laminated plates.Composite Structures,2007,80(3):409-428
[48]Kim B H,Stubbs N,Park T.Flexural damage index equations of a plate.Journal of Sound and Vibration,2005,283(1-2):341-368
[49]Pandey A K and Biswas M.Damage detection in structures using changes in flexibility.Journal of Sound and Vibration,1994,169(1):3-17
[50]Pandey A K.Experimental verification of flexibility difference method for locating damage in structures.Journal of Sound and Vibration,1995,184(2):311-328
[51]Lu Q,Ren G,Zhao Y.Multiple damage location with flexibility curvature and relative frequency change for beam structures.Journal of Sound and Vibration,2002,253(5):1101-1114
[52]荆龙江,项贻强.基于柔度矩阵法的大跨斜拉桥主梁的损伤识别.浙江大学学报(工学版),2008,42(1):164-169
[53]Ni Y Q,Zhou H F,Ko J M.Modal flexibility analysis of cable-stayed Ting Kau bridge for damage identification.Computer-Aided Civil and Infrastructure Engineering,2008,23(3):223-236
[54]Zhao J and Dewolf J T.Sensitivity study for vibrational parameters used in damage detection.Journal of Structural Engineering,1999,125(4):410-416
[55]Zhang Z and Aktan A E.The damage indices for constructed facilities,in:DeMichele D J.Proceedings of the 13~(th) International Modal Analysis Conference.Bethel:Society for Experimental Mechanics,Inc.,1995:1520-1529
[56]Catbas F N,Gul M,Burkett J L.Damage assessment using flexibility and flexibility-based curvature for structural health monitoring.Smart Materials and Structures,2008,17(1):1-12
[57]Catbas F N,Gul M,Burkett J L.Conceptual damage-sensitive features for structural health monitoring:Laboratory and field demonstrations.Mechanical Systems and Signal Processing,2008,22(7):1650-1669
[58]曹晖,Friswell M I.基于模态柔度曲率的损伤检测方法.工程力学,2006,23(4):33-38
[59]李永梅,周锡元,高向宇.基于柔度曲率矩阵的结构损伤识别法.北京工业大学学报,34(10):1066-1071
[60]Zhang Z and Aktan A E.Application of modal flexibility and its derivatives in structural identification.Research in Nondestructive Evaluation,1998,10(1):43-61
[61]Wu D and Law S S.Damage localization in plate structures from uniform load surface curvature.Journal of Sound and Vibration,2004,276(1-2):227-244
[62]Wu D and Law S S.Damage localization in plate structures fi'om flexibility and its derivatives,in:Liu Shih-Chi.Smart Structures and Materials 2004:Sensors and Smart Structures Technologies for Civil,Mechanical,and Aerospace Systems.San Diego(CA):SPIE,2004:449-460
[63]Duan Zhongdong,Yan Guirong,Ou Jinping,et al.Damage localization in ambient vibration by constructing proportional flexibility matrix.Journal of Sound and Vibration,2005,284(1-2):455-466
[64]Duan Zhongdong,Yan Guirong,Ou Jinping,et al.Damage detection in ambient vibration using proportional flexibility matrix with incomplete measured DOFs.Structural Control and Health Monitoring,2007,14(2):186-196
[65]Yang Q W.A mixed sensitivity method for structural damage detection.Communications in Numerical Methods in Engineering,2009,25(4):381-389
[66]Choi F C,Li J,Crews S K.Application of the modified damage index method to timber beams. Engineering Structures, 2008, 30(4): 1124-1145
[67] Yang Q W and Liu J K. Damage identification by the eigenparameter decomposition of structural flexibility change. International Journal for Numerical Methods in Engineering, 2009,78(4): 444-459
[68] Anun Patjawit and Worsak Kanok-Nukulchai. Health monitoring of highway bridges based on a Global Flexibility Index. Engineering Structures, 2005,27(9): 1385-1391
[69] Chang C C, Sze K W, Sun Z. Structural Damage Assessment using Principal Component Analysis, in: Kundu Tribikram. Health Monitoring and Smart Nondestructive Evaluation of Structural and Biological Systems III. San Diego (CA), SPIE, 2004: 438-445
[70] Perera R, Ruiz A, Manzano C. An evolutionary multiobjective framework for structural damage localization and quantification. Engineering Structures, 2007, 29(10): 2540-2550
[71] Perera R and Ruiz A. A multistage FE updating procedure for damage identification in large-scale structures based on multiobjective evolutionary optimization. Mechanical Systems and Signal Proceeding, 22(4): 970-991
[72] Jaishi B and Ren W X. Damage detection by finite element model updating using modal flexibility residual. Journal of Sound and Vibration, 2006, 290(1-2): 369-387
[73] Tang Hesheng, Xue Songtao, Wang yuangong, et al. Analyses on structural damage identification based on combined parameters. Applied Mathematics and Mechanics, 2005, 26(1): 44-51
[74] Samman M M, Biswas M, Pandey A K. Employing pattern recognition for detecting cracks in a bridge model. Modal Analysis: The International Journal of Analytical and Experimental Modal Analysis, 1991, 6(1): 35-44
[75] Wang J H and Liou C M. Experimental identification of mechanical joint parameters. Journal of Vibration and Acoustics, 1991,113(1): 28-36
[76] Biswas M, Pandey A K, Bluni S. Modified chain-code computer vision techniques for interrogation of vibration signatures for structural fault detection.Journal of Sound and Vibration,1994,175(1):89-104
[77]Chaudhry Z and Ganino A J.Damage detection using neural networks:An initial experimental study on debonded beams.Journal of Intelligent Material Systems and Structures,1994,5(4):585-589
[78]Park N G and Park Y S.Damage detection using spatially incomplete frequency response functions.Mechanical Systems and Signal Processing,2003,17(3):519-532
[79]Hwange H Y and Kim C.Damage detection in structures using a few frequency response measurements.Journal of Sound and Vibration,2004,270(1-2):1-14
[80]Huynh D,He J,Tran D.Damage location vector:A non-destructive structural damage detection technique.Computers & Structures,2005,83(28-30):2353-2367
[81]Ni Y Q,Zhou X T,Ko J M.Experimental investigation of seismic damage identification using PCA-compressed frequency response functions and neural networks.Journal of Sound and Vibration,2006,290(1-2):242-263
[82]Kosmatka J B and Ricles J M.Damage detection in structures by modal vibration characterization.Journal of Structural Engineering,1999,125(12):1384-1392
[83]Farhat C and Hemez F M.Updating finite element dynamic models using an element-by -element sensitivity methodology.AIAA Journal,1993,31(9):1702-1711
[84]Doebling S W.Minimum-rank optimal update of elemental stiffness parameters for structural damage identification.AIAA Journal,1996,34(12):2615-2621
[85]Liu P L.Identification and damage detection of trusses using modal data.Journal of Structural Engineering,1995,121(4):599-608
[86]Yang Q W and Liu J K.Structural damage identification based on residual force vector.Journal of Sound and Vibration,2007,305(1-2):298-307
[87]Yun G J,Ogorzalek K A,Dyke S J,et al.A parameter subset selection method using residual force vector for detecting multiple damage locations.Structural Control and Health Monitoring,2008,in press.DOI:10.1002/stc.284
[88]李德葆,陆秋海.实验模态分析及其应用.北京:科学出版社,2001
[89]周先雁,沈蒲生.用应变模态对混凝土结构进行损伤识别的研究.湖南大学学报,1997,24(5):69-74
[90]Nosenzo G,Whelan M P,Dalton T.Condition monitoring of vibrating composite structures based on optical fibre strain sensing and finite element model updating,in:Inaudi D and Udd E.Smart Structures and Materials 2002:Smart Sensor Technology and Measurement Systems.San Diego(CA):SPIE,2002:129-137
[91]顾培英,陈厚群,李同春,邓昌.基于应变模态差分原理的直接定位损伤指标法.振动与冲击,2006,25(4):13-17
[92]Montalvao D,Ribeiro A M R,Silva D J.A method for the localization of damage in a CFRP plate using damping.Mechanical Systems and Signal Processing,2009,23(6):1846-1854
[93]Wang D S and Zhu H P.Wave propagation based multi-crack identification in beam structures through anti-resonances information.Key Engineering Materials,2005,293-294:557-564
[94]Nair K K,Kiremidjian A S,Law K H.Time series-based damage detection and localization algorithm with application to the ASCE benchmark structure.Journal of Sound and Vibration,2006,291(1-2):349-368
[95]Garcia G V,Osegueda R A,Meza D.Comparison of damage detection results utilizing an ARMA model and an FRF model to extract the modal parameters,in:Liu S C.Smart Structures and Materials 1998:Smart Systems for Bridges,Structures and Highways.San Diego(CA):SPIE,1998:244-252
[96]Zhang H and Mita A.Two-stage damage diagnosis based on the distance between ARMA models and pre-whitening filters.Smart Materials and Structures,2007,16:1829-1836
[97]Farrar C R and Doebling S W.Damage detection II:field applications to large structures,in:Silva J M M and Maia N M M.Modal Analysis and Testing,Nato Science Series.Dordrecht(Netherlands):Kluwer Academic Publishers,1999:342-349
[98]Fanning P and Carden E P.Auto-regression and statistical process control techniques applied to damage indication in telecommunication masts.Key Engineering Materials,2001,204-205:251-260
[99]Hua X G,Ni Y Q,Ko J M,et al.Modeling of temperature-frequency correlation using combined principal component analysis and support vector regression technique.Journal of Computing in Civil Engineering,2007,21(2):122-135
[100]薛景宏,张敏政.基于时域相关分析的结构损伤指数.地震工程与工程振动,2006,26(2):62-65
[101]Yang Z C,Yu Z F,Sun H.On the cross correlation function amplitude vector and its application to structural damage detection.Mechnanicai Systems and Signal Processing,2007,21(7):2918-2932
[102]Spanos P D,Failla G,Santini A,et al.Damage detection in Euler-Bernoulli beams via spatial wavelet analysis.Structural Control and Health Monitoring,2006,13:472-487
[103]Gu H C,Song G B,Qiao P Z.Delamination detection of composite plates using piezoceramic patches and wavelet packet analysis,in:Shull P J and Gyekenyesi A L.Nondestructive Evaluation and Health Monitoring of Aerospace Materials and Composites III.Bellingham(WA):SPIE,2004:220-230
[104]Hart J G,Ren W X,Sun Z S.Wavelet packet based damage identification of beam structures.International Journal of Solids and Structures,2005,42(26):6610-6627
[105]Bayissa W L,Haritos N,Thelandersson S.Vibration-based structural damage identification using wavelet transform.Mechanical Systems and Signal Processing,2008,22(5):1194-1215
[106] Huang N E, Shen Z, Long S R, et al. The empirical mode decomposition and Hilbert spectrum for nonlinear and nonstationary time series analysis. in: Wu M C and Shih H H. Proceedings of the Royal Society of London-Series A. London: The Royal Society, 1998,903-995
[107]Rezaei D and Taheri F. Experimental validation of a novel structural damage detection method based on empirical mode decomposition. Smart Materials and Structures, 2009,18: 1-14
[108] Xu Y L and Chen J. Structural damage detection using empirical mode decomposition: experimental investigation. Journal of Engineering Mechanics, 2004, 130(11): 1279-1288
[109] Li H L, Deng X Y, Dai H L. Structural damage detection using the combination method of EMD and wavelet analysis. Mechanical Systems and Signal Processing, 2007,12(1): 298-306
[110] Yang J N, Lei Y, Lin S, et al. Hilbert-Huang based approach for structural damage detection. Journal of Engineering Mechanics, 2004,130(1): 85-95
[111]Zemmour A I. The Hilbert-huang Transform for damage detection in plate structures[Thesis for the Degree of Master]. Maryland (USA): The University of Maryland, 2006
[112] Chen H G, Yan Y J, Chen W H, et al. Early damage detection in composite wingbox structures using Hilbert-Huang transform and genetic algorithm. Structural Health Monitoring, 2007, 6(4): 281-297
[113]Lu Z R and Law S S. Identification of system parameters and input force from output only. Mechanical Systems and Signal Processing, 2007, 21(5): 2099-2111
[114]Ruotolo R and Surace C. Using SVD to detection damage in structures with different operational conditions. Journal of Sound and Vibration, 1999, 226(3): 425-439
[115]Galvanetto U and Violaris G.Numerical investigation of a new damage detection method based on proper orthogonal decomposition.Mechanical Systems and Signal Processing,2007,21(3):1346-1361
[116]Zhang J,Xu Y L,Xia Y,et al.A new statistical moment-based structural damage detection method.Structural Engineering and Mechanicas,2008,30(4):445-466
[117]Xu B.Time domain substructural post-earthquake damage diagnosis methodology with neural networks.Advances in Natural Computation,2005,3611:520-529
[118]Shi Z Y,Law S S,Zhang L M.Structural damage localization from modal strain energy chang.Journal of Sound and Vibration,1998,218(5):825-844
[119]史治宇,吕令毅.由模态应变能法诊断结构破损的实验研究.东南大学学报,1999,29(2):134-138
[120]Sazonov E,Klinkhachorn P,Halabe U B,et al.Non-baseline detection of small damages from changes in strain energy mode shapes.Nondestructive Testing and Evaluation,2002,18(3-4):91-107
[121]Hu S L,Wang S Q,Li H J.Cross-modal strain energy method for estimating damage severity.Journal of Engineering Mechanics,2006,132(4):429-437
[122]Li H J,Fang H,Hu S L J.Damage localization and severity estimate for three-dimensional frame structures.Journal of Sound and Vibration,2007,301(3-5):481-494
[123]Li H J,Yang H Z,Hu S L J.Modal strain energy decomposition method for damage localization in 3D frame structures.Journal of Engineering Mechanics,2006,132(9):941-951
[124]Comawell P,Doebling S W,Farrar C R.Application of the strain energy damage detection method to plate-like structures.Journal of Sound and Vibration,1999,224(2):359-374
[125]Xu Z D and Wu Z S.Energy damage detection strategy based on acceleration responses for long-span bridge structures.Engineering Structures,2007,29(4):609-617
[126]黄方林,顾松年.用残余能量法诊断结构故障.机械强度,1996,18(4):5-8
[127]Meirovitch L.Elements of Vibration Analysis.New York:McGraw-Hill,1975
[128]Martin H R.Statistical moment analysis as a means of surface damage detection,in:DeMichele D J.Proceedings of the 7~(th) International Modal Analysis Conference.Bethel:Society for Experimental Mechanics,Inc.,1989:1016-1021
[129]傅志方,华宏星.模态分析理论与应用.上海:上海交通大学出版社,2000
[130]卢文祥,杜润生.机械工程测试·信息·信号分析(第二版).武汉:华中科技大学出版社,1999
[131]王丹生.基于反共振频率和压电阻抗的结构损伤检测[博士学位论文].武汉:华中科技大学,2006
[132]张相庭,王志培,黄本才.结构振动力学.上海:同济大学出版社,1994
[133]王丹生,朱宏平.基于弯曲弹簧模型的裂纹混凝土梁动力特性分析.世界地震工程,2006,22(1):45-48
[134]骆文海.强震加速度波形积分时的基线修正.传感器技术,1991,(3):23-26
[135]William A N.Schaum's Outline of Theory and Problems of Strength of Materials.New York:McGraw-Hill,1998
[136]Ratcliffe C P and Bagaria W J.Vibration technique for location delamination in a composite beam.AIAA Journal,1998,36(6):1074-1077
[137]陈传尧.疲劳与断裂.武汉:华中科技大学出版社,2002
[138]Deng J L.The Primary Methods of Grey System Theory.Wuhan:Huazhong University of Science and Technology Press,2005
[139]Chen X Z,Zhu H P,Chen C Y.Structural damage identification using test static data based on grey system theory.Journal of Zhejiang University SCIENCE A,2005,6(8):790-796
[140]Chou J H,Ghaboussi J.Genetic algorithm in structural damage detection.Computers & Structures,2001,79(14):1335-1353
[141]Li Y Q,Xiang Z H,Zhou M S,et al.An integrated parameter identification method combined with sensor placement design.Communications in Numerical Methods in Engineering,2008,24(12):1571-1585
[142]Song G,Sethi V,Li H N.Vibration control of civil structures using piezoceramic smart materials:A review.Engineering Structures,2006,28(11):1513-1524
[143]王丹生,朱宏平,陈晓强,周建锋.利用压电自传感驱动器进行裂纹钢梁损伤识别的实验研究.振动与冲击,2006,25(6):139-142
[144]周洋,万建国,陶宝祺.PVDF压电薄膜的结构、机理与应用.材料导报,1996,(5):43-47
[145]Kawai Heiji.The Piezoelectricity of Poty(vinylidene Fluoride).Japanese Journal of Applied Physics,1969,8(7):975-976
[146]李宏男,赵晓燕.压电智能传感器结构在土木工程中的研究和应用.地震工程与工程振动,2004,24(6):165-172
[147]赵东升.PVDF压电薄膜传感器的制作研究.常州轻工职业技术学院学报,2006,(6):24-27
[148]Zhang H,Galea S C,Chiu W K,et al.An investigation of thin PVDF films as fluctuating-strain-measuring and damage-monitoring devices.Smart Materials and Structures,1993,2:208-216
[149]Katsumi K,Biwa S,Matsumoto E,et al.Measurement of static strain distribution using piezoelectric polymer film(principle and application to a holed plate).JSME International Journal(Series A),1999,42(1):11-16
[150]Wang D H,Huang S L.Health monitoring and diagnosis for flexible structures with PVDF piezoelectric film sensor array.Journal of Intelligent Material Systems and Structures,2000,11(6):482-491
[151]Li S Q,Kubo S,Sakagami T,et al.Theoretical and numerical investigation on crack identification using piezoelectric material-embedded structures.Materials Science Research International,2000,6(1):41-48
[152]Matsumoto E,Biwa S,Katsumi K,et al.Surface strain sensing with polymer piezoelectric film.NDT & E International,2004,37(1):57-64
[153]席道瑛,郑永来.PVDF压电计在动态应力测量中的应用.爆炸与冲击,1995,15(2):174-179
[154]李焰,钟方平,刘乾等.PVDF在动态应变测量中的应用.爆炸与冲击,2003,23(3):230-234
[155]具典淑,周智,欧进萍.PVDF压电薄膜的应变传感特性研究.功能材料,2004,35(4):450-452,456
[156]刘刚,黄一,董维杰,孙宇.油漆涂层下PVDF的应变传感及测量方法研究.压电与声光,2007,29(5):615-618
[157]刘刚,黄一,董维杰,马艳.基于各向异性的组合式PVDF应变传感器.压电与声光,2007,29(6):669-672
[158]Sessler G M.Piezoelectricity in Polyvinylidenefluoride.The Journal of the Acoustical Society of America,1981,70(6):1596-1608
[2]Cho H N,Lim J K,Choi H H.Reliability-based fatigue failure analysis for causes assessment of a collapsed steel truss bridge.Engineering Failure Analysis,2001,8(4):311-324
[3]刘俊彦.綦江“彩虹桥”坍塌事件给我们的警示.陕西档案,1999,(4):28-29
[4]杨青生.广西平南两幢五层楼房倒塌 近20人被埋.南国早报,2002年10月11日
[5]梁鹏.郑州7层楼倒塌3人死.新京报,2006年7月8日
[6]邓霞,刘双双.湖南株洲坍塌事故清理工作结束共9死16伤.中国新闻网,2009年5月18日
[7]Lifshitz J M and Rotem A.Determination of reinforcement unbonding of composites by a vibration technique.Journal of Composite Materials,1969,3(3):412-423
[8]杨智春,于哲峰.结构健康监测中的损失检测技术研究进展.力学进展,2004,34(2):15-223
[9]Vandiver J K.Detection of structural failure on fixed platforms by measurement of dynamic response.Journal of Petroleum Technology,1977,29(3):305-310
[10]Ni Y Q,Jiang S F,Ko J M.Application of adaptive probabilistic neural network to damage detection of Tsing Ma suspension bridge,in:Chase S B and Aktan A E.Health Monitoring and Management of Civil Infrastructure Systems.Newport Beach (CA):SPIE,2001:347-356
[11]王丹生,吴宁,朱宏平.光纤光栅传感器在桥梁工程中的研究与应用现状.公路交通科技,2004,21(2):57-61
[12]秦权.桥梁结构的健康监测.中国公路学报,2000,13(2):37-42
[13]Reich Gregory William.Localized structural health monitoring via transmission zero invariance:[PhD Thesis].Boulder:University of Colorado at Boulder,2000
[14]Rytter A.Vibration based inspection of civil engineering structures:[PhD Thesis].Denmark:Aalborg University,1993
[15]Sanayer M and Onipede O.Damage assessment of structures using static test data.AIAA Journal,1991,29(7):1174-1179.
[16]Hjelmstad K D and Shin S.Damage detection and assessment of structures from static response.Journal of Engineering Mechanics,1997,123(6):568-576.
[17]Doebling S W,Farrar C R,Prime M B.A summary review of vibration-based damage identification methods.The Shock and Vibration Digest,1998,30(2):91-105
[18]Lifshitz J M and Rotem A.Determination of reinforcement unbonding of composites by a vibration technique.Journal of Composite Materials,1969,3(3):412-423
[19]Cawley P and Adams R D.The location of defects in structures from measurements of natural frequencies.Journal of Strain Analysis,1979,14(2):49-57
[20]Studdbs N and Osegueda R.Global non-destructive damage evaluation in solids.Modal Analysis:The International Journal of Analytical and Experimental Modal Analysis,1990,5(2):67-79
[21]Studdbs N and Osegueda R.Global damage detection in solids:experimental verification.Modal Analysis:The International Journal of Analytical and Experimental Modal Analysis,1990,5(2):81-97
[22]Sophia H and Garrett D J.Identification of stiffness reduction using natural frequencies.Journal of Engineering Mechanics,121(10):1106-1113
[23]Xue S,Li Y,Xie Q.Frequnecy-sensitivity-based frame structural damage identification experiments.Jido Seigyo Rengo Koenkai Maezuri,2001,44:208-211
[24]Zhu H P,Li L,Wang D S.Damage assessment in periodic structures from measured natural frequencies by a sensitivity and transfer matrix-based method.Structural Engineering and Mechanics,2003,16(1):17-34
[25] Friswell M I, Penny J E T, Wilson D A L. Using vibration data and statistical measures to locate damage in structures. Modal Analysis: The International Journal of Analytical and Experimental Modal Analysis, 1994,9(4): 239-254
[26] Zhu H P and Xu Y L. Damage detection of mono-coupled periodic structures based on sensitivity analysis of modal parameters. Journal of Sound and Vibration, 2005, 285(1-2): 365-390
[27] Xia Y and Hao Hong. Statistical damage identification of structures with frequency changes. Journal of Sound and Vibration, 2003,263(4): 853-870
[28] Jiang L J, Tang J, Wang K W. An optiamal sensitivity-enhancing feedback control approach via eigenstructure assignment for structural damage identification. Journal of Vibration and Acoustics, 2007,129(6): 771-783
[29] Jiang L J and Wang K W. An experiment-based frequency sensitivity enhancing control approach for structural damage detection. Smart Materials and Structures, 2009,18(6): 065005-1-12
[30] Hearn G and Testa R B. Modal analysis for damage detection in structures. Journal of Structural Engineering, 1991,117(10): 3042-3063
[31] Messina A, Williams E J, Contursi T. Structural damage detection by a sensitivity and statistical-based method. Journal of Sound and Vibration, 1998,216(5): 791-808
[32] Koh C G, See L M, Balendra T. Damage detection of buildings: numerical and experimental studies. Journal of Structural Engineering, 1995,121(8): 1155-1160
[33] Morassi A and Rovere N. Localizing a notch in a steel frame from frequency measurements. Journal of Engineering Mechanics, 123(5): 422-432
[34] Salawu O S. Detection of structural damage through changes in frequency: a review. Engineering Structures, 1997, 19(9): 718-723
[35] Xia Y, Hao H, Zanardo G, et al. Long term vibration monitoring of an RC slab: Temperature and humidity effect. Engineering Structures, 2006,28(3): 441-452
[36] West W M. Illustration of the use of modal assurance criterion to detect structural changes in an orbiter test specimen,in:DeMichele D J.Proceedings of the 4~(th)International Modal Analysis Conference.Bethel:Society for Experimental Mechanics,Inc.,1986:1-6
[37]Fox C H J.The location of defects in structures:a comparison of the use of natural frequency and mode shape data.in:DeMichele D J.Proceedings of the 10~(th)International Modal Analysis Conference.Bethel:Society for Experimental Mechanics,Inc.,1992:522-528
[38]Lieven N A J and Ewins D J.Spatial correlation of mode shapes,the Coordinate Modal Assurance Criterion(COMAC).in:DeMichele D J.Proceedings of the 6~(th)International Modal Analysis Conference.Bethel:Society for Experimental Mechanics,Inc.,1988:690-695
[39]Salawu O S and Willianms C.Bridge assessment using forced-vibration testing.Journal of Structural Engineering,1995,121(2):161-173
[40]Ko J M,Wong C W,Lam H F.Damage detection in steel framed structures by vibration measurement approach,in:DeMichele D J.Proceedings of the 12~(th)International Modal Analysis Conference.Bethel:Society for Experimental Mechanics,Inc.,1994:280-286
[41]Ndambi J M,Vantaomme J,Harri K.Damage assessment in reinforced concrete beams using eigenfrequencies and mode shape derivatives.Engineering Structures,2002,24(4):501-515
[42]李林,王伟,朱宏平.基于一阶振型斜率的剪切型建筑结构损伤定位.华中科技大学学报(自然科学版),2007,35(7):114-117
[43]李林.剪切型框架结构损伤检测的数值与试验研究[博士学位论文].武汉:华中科技大学,2005
[44]Pandey A K,Biswas M,Samman M M.Damage detection from changes in curvature mode shapes.Journal of Sound and Vibration,1991,145(2):321-332
[45]Wahab M M A and Roeck G D.Damage detection in bridges using modal curvatures: Application to a real damage scenario.Journal of Sound and Vibration,1999,226(2):217-235
[46]Ratcliffe C P.Damage detection using a modified Laplacian operator on mode shape data.Journal of Sound and Vibration,1997,204(3):505-517
[47]Qiao P Z,Lu K,Lestari W,et al.Curvature mode shape-based damage detection in composite laminated plates.Composite Structures,2007,80(3):409-428
[48]Kim B H,Stubbs N,Park T.Flexural damage index equations of a plate.Journal of Sound and Vibration,2005,283(1-2):341-368
[49]Pandey A K and Biswas M.Damage detection in structures using changes in flexibility.Journal of Sound and Vibration,1994,169(1):3-17
[50]Pandey A K.Experimental verification of flexibility difference method for locating damage in structures.Journal of Sound and Vibration,1995,184(2):311-328
[51]Lu Q,Ren G,Zhao Y.Multiple damage location with flexibility curvature and relative frequency change for beam structures.Journal of Sound and Vibration,2002,253(5):1101-1114
[52]荆龙江,项贻强.基于柔度矩阵法的大跨斜拉桥主梁的损伤识别.浙江大学学报(工学版),2008,42(1):164-169
[53]Ni Y Q,Zhou H F,Ko J M.Modal flexibility analysis of cable-stayed Ting Kau bridge for damage identification.Computer-Aided Civil and Infrastructure Engineering,2008,23(3):223-236
[54]Zhao J and Dewolf J T.Sensitivity study for vibrational parameters used in damage detection.Journal of Structural Engineering,1999,125(4):410-416
[55]Zhang Z and Aktan A E.The damage indices for constructed facilities,in:DeMichele D J.Proceedings of the 13~(th) International Modal Analysis Conference.Bethel:Society for Experimental Mechanics,Inc.,1995:1520-1529
[56]Catbas F N,Gul M,Burkett J L.Damage assessment using flexibility and flexibility-based curvature for structural health monitoring.Smart Materials and Structures,2008,17(1):1-12
[57]Catbas F N,Gul M,Burkett J L.Conceptual damage-sensitive features for structural health monitoring:Laboratory and field demonstrations.Mechanical Systems and Signal Processing,2008,22(7):1650-1669
[58]曹晖,Friswell M I.基于模态柔度曲率的损伤检测方法.工程力学,2006,23(4):33-38
[59]李永梅,周锡元,高向宇.基于柔度曲率矩阵的结构损伤识别法.北京工业大学学报,34(10):1066-1071
[60]Zhang Z and Aktan A E.Application of modal flexibility and its derivatives in structural identification.Research in Nondestructive Evaluation,1998,10(1):43-61
[61]Wu D and Law S S.Damage localization in plate structures from uniform load surface curvature.Journal of Sound and Vibration,2004,276(1-2):227-244
[62]Wu D and Law S S.Damage localization in plate structures fi'om flexibility and its derivatives,in:Liu Shih-Chi.Smart Structures and Materials 2004:Sensors and Smart Structures Technologies for Civil,Mechanical,and Aerospace Systems.San Diego(CA):SPIE,2004:449-460
[63]Duan Zhongdong,Yan Guirong,Ou Jinping,et al.Damage localization in ambient vibration by constructing proportional flexibility matrix.Journal of Sound and Vibration,2005,284(1-2):455-466
[64]Duan Zhongdong,Yan Guirong,Ou Jinping,et al.Damage detection in ambient vibration using proportional flexibility matrix with incomplete measured DOFs.Structural Control and Health Monitoring,2007,14(2):186-196
[65]Yang Q W.A mixed sensitivity method for structural damage detection.Communications in Numerical Methods in Engineering,2009,25(4):381-389
[66]Choi F C,Li J,Crews S K.Application of the modified damage index method to timber beams. Engineering Structures, 2008, 30(4): 1124-1145
[67] Yang Q W and Liu J K. Damage identification by the eigenparameter decomposition of structural flexibility change. International Journal for Numerical Methods in Engineering, 2009,78(4): 444-459
[68] Anun Patjawit and Worsak Kanok-Nukulchai. Health monitoring of highway bridges based on a Global Flexibility Index. Engineering Structures, 2005,27(9): 1385-1391
[69] Chang C C, Sze K W, Sun Z. Structural Damage Assessment using Principal Component Analysis, in: Kundu Tribikram. Health Monitoring and Smart Nondestructive Evaluation of Structural and Biological Systems III. San Diego (CA), SPIE, 2004: 438-445
[70] Perera R, Ruiz A, Manzano C. An evolutionary multiobjective framework for structural damage localization and quantification. Engineering Structures, 2007, 29(10): 2540-2550
[71] Perera R and Ruiz A. A multistage FE updating procedure for damage identification in large-scale structures based on multiobjective evolutionary optimization. Mechanical Systems and Signal Proceeding, 22(4): 970-991
[72] Jaishi B and Ren W X. Damage detection by finite element model updating using modal flexibility residual. Journal of Sound and Vibration, 2006, 290(1-2): 369-387
[73] Tang Hesheng, Xue Songtao, Wang yuangong, et al. Analyses on structural damage identification based on combined parameters. Applied Mathematics and Mechanics, 2005, 26(1): 44-51
[74] Samman M M, Biswas M, Pandey A K. Employing pattern recognition for detecting cracks in a bridge model. Modal Analysis: The International Journal of Analytical and Experimental Modal Analysis, 1991, 6(1): 35-44
[75] Wang J H and Liou C M. Experimental identification of mechanical joint parameters. Journal of Vibration and Acoustics, 1991,113(1): 28-36
[76] Biswas M, Pandey A K, Bluni S. Modified chain-code computer vision techniques for interrogation of vibration signatures for structural fault detection.Journal of Sound and Vibration,1994,175(1):89-104
[77]Chaudhry Z and Ganino A J.Damage detection using neural networks:An initial experimental study on debonded beams.Journal of Intelligent Material Systems and Structures,1994,5(4):585-589
[78]Park N G and Park Y S.Damage detection using spatially incomplete frequency response functions.Mechanical Systems and Signal Processing,2003,17(3):519-532
[79]Hwange H Y and Kim C.Damage detection in structures using a few frequency response measurements.Journal of Sound and Vibration,2004,270(1-2):1-14
[80]Huynh D,He J,Tran D.Damage location vector:A non-destructive structural damage detection technique.Computers & Structures,2005,83(28-30):2353-2367
[81]Ni Y Q,Zhou X T,Ko J M.Experimental investigation of seismic damage identification using PCA-compressed frequency response functions and neural networks.Journal of Sound and Vibration,2006,290(1-2):242-263
[82]Kosmatka J B and Ricles J M.Damage detection in structures by modal vibration characterization.Journal of Structural Engineering,1999,125(12):1384-1392
[83]Farhat C and Hemez F M.Updating finite element dynamic models using an element-by -element sensitivity methodology.AIAA Journal,1993,31(9):1702-1711
[84]Doebling S W.Minimum-rank optimal update of elemental stiffness parameters for structural damage identification.AIAA Journal,1996,34(12):2615-2621
[85]Liu P L.Identification and damage detection of trusses using modal data.Journal of Structural Engineering,1995,121(4):599-608
[86]Yang Q W and Liu J K.Structural damage identification based on residual force vector.Journal of Sound and Vibration,2007,305(1-2):298-307
[87]Yun G J,Ogorzalek K A,Dyke S J,et al.A parameter subset selection method using residual force vector for detecting multiple damage locations.Structural Control and Health Monitoring,2008,in press.DOI:10.1002/stc.284
[88]李德葆,陆秋海.实验模态分析及其应用.北京:科学出版社,2001
[89]周先雁,沈蒲生.用应变模态对混凝土结构进行损伤识别的研究.湖南大学学报,1997,24(5):69-74
[90]Nosenzo G,Whelan M P,Dalton T.Condition monitoring of vibrating composite structures based on optical fibre strain sensing and finite element model updating,in:Inaudi D and Udd E.Smart Structures and Materials 2002:Smart Sensor Technology and Measurement Systems.San Diego(CA):SPIE,2002:129-137
[91]顾培英,陈厚群,李同春,邓昌.基于应变模态差分原理的直接定位损伤指标法.振动与冲击,2006,25(4):13-17
[92]Montalvao D,Ribeiro A M R,Silva D J.A method for the localization of damage in a CFRP plate using damping.Mechanical Systems and Signal Processing,2009,23(6):1846-1854
[93]Wang D S and Zhu H P.Wave propagation based multi-crack identification in beam structures through anti-resonances information.Key Engineering Materials,2005,293-294:557-564
[94]Nair K K,Kiremidjian A S,Law K H.Time series-based damage detection and localization algorithm with application to the ASCE benchmark structure.Journal of Sound and Vibration,2006,291(1-2):349-368
[95]Garcia G V,Osegueda R A,Meza D.Comparison of damage detection results utilizing an ARMA model and an FRF model to extract the modal parameters,in:Liu S C.Smart Structures and Materials 1998:Smart Systems for Bridges,Structures and Highways.San Diego(CA):SPIE,1998:244-252
[96]Zhang H and Mita A.Two-stage damage diagnosis based on the distance between ARMA models and pre-whitening filters.Smart Materials and Structures,2007,16:1829-1836
[97]Farrar C R and Doebling S W.Damage detection II:field applications to large structures,in:Silva J M M and Maia N M M.Modal Analysis and Testing,Nato Science Series.Dordrecht(Netherlands):Kluwer Academic Publishers,1999:342-349
[98]Fanning P and Carden E P.Auto-regression and statistical process control techniques applied to damage indication in telecommunication masts.Key Engineering Materials,2001,204-205:251-260
[99]Hua X G,Ni Y Q,Ko J M,et al.Modeling of temperature-frequency correlation using combined principal component analysis and support vector regression technique.Journal of Computing in Civil Engineering,2007,21(2):122-135
[100]薛景宏,张敏政.基于时域相关分析的结构损伤指数.地震工程与工程振动,2006,26(2):62-65
[101]Yang Z C,Yu Z F,Sun H.On the cross correlation function amplitude vector and its application to structural damage detection.Mechnanicai Systems and Signal Processing,2007,21(7):2918-2932
[102]Spanos P D,Failla G,Santini A,et al.Damage detection in Euler-Bernoulli beams via spatial wavelet analysis.Structural Control and Health Monitoring,2006,13:472-487
[103]Gu H C,Song G B,Qiao P Z.Delamination detection of composite plates using piezoceramic patches and wavelet packet analysis,in:Shull P J and Gyekenyesi A L.Nondestructive Evaluation and Health Monitoring of Aerospace Materials and Composites III.Bellingham(WA):SPIE,2004:220-230
[104]Hart J G,Ren W X,Sun Z S.Wavelet packet based damage identification of beam structures.International Journal of Solids and Structures,2005,42(26):6610-6627
[105]Bayissa W L,Haritos N,Thelandersson S.Vibration-based structural damage identification using wavelet transform.Mechanical Systems and Signal Processing,2008,22(5):1194-1215
[106] Huang N E, Shen Z, Long S R, et al. The empirical mode decomposition and Hilbert spectrum for nonlinear and nonstationary time series analysis. in: Wu M C and Shih H H. Proceedings of the Royal Society of London-Series A. London: The Royal Society, 1998,903-995
[107]Rezaei D and Taheri F. Experimental validation of a novel structural damage detection method based on empirical mode decomposition. Smart Materials and Structures, 2009,18: 1-14
[108] Xu Y L and Chen J. Structural damage detection using empirical mode decomposition: experimental investigation. Journal of Engineering Mechanics, 2004, 130(11): 1279-1288
[109] Li H L, Deng X Y, Dai H L. Structural damage detection using the combination method of EMD and wavelet analysis. Mechanical Systems and Signal Processing, 2007,12(1): 298-306
[110] Yang J N, Lei Y, Lin S, et al. Hilbert-Huang based approach for structural damage detection. Journal of Engineering Mechanics, 2004,130(1): 85-95
[111]Zemmour A I. The Hilbert-huang Transform for damage detection in plate structures[Thesis for the Degree of Master]. Maryland (USA): The University of Maryland, 2006
[112] Chen H G, Yan Y J, Chen W H, et al. Early damage detection in composite wingbox structures using Hilbert-Huang transform and genetic algorithm. Structural Health Monitoring, 2007, 6(4): 281-297
[113]Lu Z R and Law S S. Identification of system parameters and input force from output only. Mechanical Systems and Signal Processing, 2007, 21(5): 2099-2111
[114]Ruotolo R and Surace C. Using SVD to detection damage in structures with different operational conditions. Journal of Sound and Vibration, 1999, 226(3): 425-439
[115]Galvanetto U and Violaris G.Numerical investigation of a new damage detection method based on proper orthogonal decomposition.Mechanical Systems and Signal Processing,2007,21(3):1346-1361
[116]Zhang J,Xu Y L,Xia Y,et al.A new statistical moment-based structural damage detection method.Structural Engineering and Mechanicas,2008,30(4):445-466
[117]Xu B.Time domain substructural post-earthquake damage diagnosis methodology with neural networks.Advances in Natural Computation,2005,3611:520-529
[118]Shi Z Y,Law S S,Zhang L M.Structural damage localization from modal strain energy chang.Journal of Sound and Vibration,1998,218(5):825-844
[119]史治宇,吕令毅.由模态应变能法诊断结构破损的实验研究.东南大学学报,1999,29(2):134-138
[120]Sazonov E,Klinkhachorn P,Halabe U B,et al.Non-baseline detection of small damages from changes in strain energy mode shapes.Nondestructive Testing and Evaluation,2002,18(3-4):91-107
[121]Hu S L,Wang S Q,Li H J.Cross-modal strain energy method for estimating damage severity.Journal of Engineering Mechanics,2006,132(4):429-437
[122]Li H J,Fang H,Hu S L J.Damage localization and severity estimate for three-dimensional frame structures.Journal of Sound and Vibration,2007,301(3-5):481-494
[123]Li H J,Yang H Z,Hu S L J.Modal strain energy decomposition method for damage localization in 3D frame structures.Journal of Engineering Mechanics,2006,132(9):941-951
[124]Comawell P,Doebling S W,Farrar C R.Application of the strain energy damage detection method to plate-like structures.Journal of Sound and Vibration,1999,224(2):359-374
[125]Xu Z D and Wu Z S.Energy damage detection strategy based on acceleration responses for long-span bridge structures.Engineering Structures,2007,29(4):609-617
[126]黄方林,顾松年.用残余能量法诊断结构故障.机械强度,1996,18(4):5-8
[127]Meirovitch L.Elements of Vibration Analysis.New York:McGraw-Hill,1975
[128]Martin H R.Statistical moment analysis as a means of surface damage detection,in:DeMichele D J.Proceedings of the 7~(th) International Modal Analysis Conference.Bethel:Society for Experimental Mechanics,Inc.,1989:1016-1021
[129]傅志方,华宏星.模态分析理论与应用.上海:上海交通大学出版社,2000
[130]卢文祥,杜润生.机械工程测试·信息·信号分析(第二版).武汉:华中科技大学出版社,1999
[131]王丹生.基于反共振频率和压电阻抗的结构损伤检测[博士学位论文].武汉:华中科技大学,2006
[132]张相庭,王志培,黄本才.结构振动力学.上海:同济大学出版社,1994
[133]王丹生,朱宏平.基于弯曲弹簧模型的裂纹混凝土梁动力特性分析.世界地震工程,2006,22(1):45-48
[134]骆文海.强震加速度波形积分时的基线修正.传感器技术,1991,(3):23-26
[135]William A N.Schaum's Outline of Theory and Problems of Strength of Materials.New York:McGraw-Hill,1998
[136]Ratcliffe C P and Bagaria W J.Vibration technique for location delamination in a composite beam.AIAA Journal,1998,36(6):1074-1077
[137]陈传尧.疲劳与断裂.武汉:华中科技大学出版社,2002
[138]Deng J L.The Primary Methods of Grey System Theory.Wuhan:Huazhong University of Science and Technology Press,2005
[139]Chen X Z,Zhu H P,Chen C Y.Structural damage identification using test static data based on grey system theory.Journal of Zhejiang University SCIENCE A,2005,6(8):790-796
[140]Chou J H,Ghaboussi J.Genetic algorithm in structural damage detection.Computers & Structures,2001,79(14):1335-1353
[141]Li Y Q,Xiang Z H,Zhou M S,et al.An integrated parameter identification method combined with sensor placement design.Communications in Numerical Methods in Engineering,2008,24(12):1571-1585
[142]Song G,Sethi V,Li H N.Vibration control of civil structures using piezoceramic smart materials:A review.Engineering Structures,2006,28(11):1513-1524
[143]王丹生,朱宏平,陈晓强,周建锋.利用压电自传感驱动器进行裂纹钢梁损伤识别的实验研究.振动与冲击,2006,25(6):139-142
[144]周洋,万建国,陶宝祺.PVDF压电薄膜的结构、机理与应用.材料导报,1996,(5):43-47
[145]Kawai Heiji.The Piezoelectricity of Poty(vinylidene Fluoride).Japanese Journal of Applied Physics,1969,8(7):975-976
[146]李宏男,赵晓燕.压电智能传感器结构在土木工程中的研究和应用.地震工程与工程振动,2004,24(6):165-172
[147]赵东升.PVDF压电薄膜传感器的制作研究.常州轻工职业技术学院学报,2006,(6):24-27
[148]Zhang H,Galea S C,Chiu W K,et al.An investigation of thin PVDF films as fluctuating-strain-measuring and damage-monitoring devices.Smart Materials and Structures,1993,2:208-216
[149]Katsumi K,Biwa S,Matsumoto E,et al.Measurement of static strain distribution using piezoelectric polymer film(principle and application to a holed plate).JSME International Journal(Series A),1999,42(1):11-16
[150]Wang D H,Huang S L.Health monitoring and diagnosis for flexible structures with PVDF piezoelectric film sensor array.Journal of Intelligent Material Systems and Structures,2000,11(6):482-491
[151]Li S Q,Kubo S,Sakagami T,et al.Theoretical and numerical investigation on crack identification using piezoelectric material-embedded structures.Materials Science Research International,2000,6(1):41-48
[152]Matsumoto E,Biwa S,Katsumi K,et al.Surface strain sensing with polymer piezoelectric film.NDT & E International,2004,37(1):57-64
[153]席道瑛,郑永来.PVDF压电计在动态应力测量中的应用.爆炸与冲击,1995,15(2):174-179
[154]李焰,钟方平,刘乾等.PVDF在动态应变测量中的应用.爆炸与冲击,2003,23(3):230-234
[155]具典淑,周智,欧进萍.PVDF压电薄膜的应变传感特性研究.功能材料,2004,35(4):450-452,456
[156]刘刚,黄一,董维杰,孙宇.油漆涂层下PVDF的应变传感及测量方法研究.压电与声光,2007,29(5):615-618
[157]刘刚,黄一,董维杰,马艳.基于各向异性的组合式PVDF应变传感器.压电与声光,2007,29(6):669-672
[158]Sessler G M.Piezoelectricity in Polyvinylidenefluoride.The Journal of the Acoustical Society of America,1981,70(6):1596-1608