既有简支梁桥动力损伤识别方法研究
|
摘要
简支梁桥受力明确,构造简单,在工程中应用广泛。伴随着交通量的日益增长与桥梁结构服役期的延长,相当一部分桥梁结构老化、破损、性能下降,对这些桥梁进行损伤识别具有重要意义。结构动力损伤识别是土木工程中一个新兴的研究方向,尚未形成统一的求解理论与方法,仍处于发展的起步阶段。本文应用频域法中的曲率模态和柔度矩阵方法对简支梁桥结构的损伤定位问题进行研究,具体研究工作如下:
(1)阐述桥梁结构损伤识别的意义、内容和方法,以及现阶段国内外在损伤识别领域的研究现状和研究成果,并且介绍了本文的主要研究内容。
(2)本文对多种基于结构动力特性的损伤识别方法进行了分析和评述。对这些方法用于损伤识别的原理进行简要阐述,并分析了各自的特点及实际应用的局限性。
(3)论述曲率模态分析的理论依据。基于20m五梁式简支梁实桥数值模型,通过弹性模量的减小来模拟损伤,通过ANSYS程序模拟得出的结构动力响应,损伤识别结果验证了曲率模态损伤识别指标对简支梁桥损伤识别的可行性、有效性和适用性。基于单损伤,讨论曲率模态损伤识别指标的抗噪声能力。
(4)论述柔度法基本原理。采用16m五梁式简支空心板桥做为数值模型,通过弹性模量的减小来模拟损伤,用ANSYS计算模型的固有频率与振型,自编程序求得柔度矩阵及损伤识别指标,讨论柔度矩阵损伤识别指标对梁桥损伤识别的可行性、有效性和适用性。基于单损伤,讨论柔度损伤识别指标的抗噪声能力。
(5)总结本文的研究内容和成果,并指出目前桥梁结构损伤识别有待解决的问题。
Simple supported girder bridge is applied widely in the project because of it’s explicit stress and simple structure. Following the traffic freight volume increased unceasingly and extension of bridge structure service period, quite a part of them are ageing and wrecking and their performance are dropping. It is important to carries on the damage identification to these bridges. Structure damage identification based on dynamic signature has become a focus in the Civil Engineering. There are a lack of uniform theories and methods available, due to the not-so-mature developing period. This thesis contributes to a study on damage location of simple supported girder bridge through curvature mode methods and flexibility matrix methods belonging to the group of frequency-domain methods.
The concrete research content of this thesis is as follows:
(1) In addition to the significance, content and methods about the damage identification applied for bridge structures,some domestic and foreign information of research status and achievements in present stage is illustrated. The major work of this thesis are also introduced.
(2) Various damage identification methods based on changes of vibration characteristics are summarized. The basic ideas of these methods are described, the feature of these methods and their limitations in practical application are discussed.
(3) The theoretical basis is developed for the curvature modal analysis. In light of the numerical models of a simply supported 20m span 5-girder bridge. Damage simulated by reduction of modulus of elasticity and the structural dynamic response is computed by ANSYS. The identification results prove the feasibility, availability and applicability of damage identification criteria for curvature mode eigenvalue used for damage identification of simple supported girder bridge. In light of single damage, the anti-noise capactity of damage identification criteria is discussed.
(4) The basic theory of flexibility matrix method is demonstrated. The model adopts simply supported 16m 5- hollow slab bridge,damage simulated by reduction of modulus of elasticity,the natural frequency and mode of vibration are computed by ANSYS ,flexibility matrix eigenvalue and damage identification criteria are computed by self design program. Discuss the feasibility, availability and applicability of damage identification criteria for flexibility matrix eigenvalue used for damage detection of girder bridge. In light of single-damage, the anti-noise capactity of damage identification criteria based on flexibility matrix eigenvalue is discussed.
(5) The conclusion part is about a summation of the content and results derived from the research mentioned in the preceding chapters,as well as the problems should be solved in the damage detection of bridge.
(1)阐述桥梁结构损伤识别的意义、内容和方法,以及现阶段国内外在损伤识别领域的研究现状和研究成果,并且介绍了本文的主要研究内容。
(2)本文对多种基于结构动力特性的损伤识别方法进行了分析和评述。对这些方法用于损伤识别的原理进行简要阐述,并分析了各自的特点及实际应用的局限性。
(3)论述曲率模态分析的理论依据。基于20m五梁式简支梁实桥数值模型,通过弹性模量的减小来模拟损伤,通过ANSYS程序模拟得出的结构动力响应,损伤识别结果验证了曲率模态损伤识别指标对简支梁桥损伤识别的可行性、有效性和适用性。基于单损伤,讨论曲率模态损伤识别指标的抗噪声能力。
(4)论述柔度法基本原理。采用16m五梁式简支空心板桥做为数值模型,通过弹性模量的减小来模拟损伤,用ANSYS计算模型的固有频率与振型,自编程序求得柔度矩阵及损伤识别指标,讨论柔度矩阵损伤识别指标对梁桥损伤识别的可行性、有效性和适用性。基于单损伤,讨论柔度损伤识别指标的抗噪声能力。
(5)总结本文的研究内容和成果,并指出目前桥梁结构损伤识别有待解决的问题。
Simple supported girder bridge is applied widely in the project because of it’s explicit stress and simple structure. Following the traffic freight volume increased unceasingly and extension of bridge structure service period, quite a part of them are ageing and wrecking and their performance are dropping. It is important to carries on the damage identification to these bridges. Structure damage identification based on dynamic signature has become a focus in the Civil Engineering. There are a lack of uniform theories and methods available, due to the not-so-mature developing period. This thesis contributes to a study on damage location of simple supported girder bridge through curvature mode methods and flexibility matrix methods belonging to the group of frequency-domain methods.
The concrete research content of this thesis is as follows:
(1) In addition to the significance, content and methods about the damage identification applied for bridge structures,some domestic and foreign information of research status and achievements in present stage is illustrated. The major work of this thesis are also introduced.
(2) Various damage identification methods based on changes of vibration characteristics are summarized. The basic ideas of these methods are described, the feature of these methods and their limitations in practical application are discussed.
(3) The theoretical basis is developed for the curvature modal analysis. In light of the numerical models of a simply supported 20m span 5-girder bridge. Damage simulated by reduction of modulus of elasticity and the structural dynamic response is computed by ANSYS. The identification results prove the feasibility, availability and applicability of damage identification criteria for curvature mode eigenvalue used for damage identification of simple supported girder bridge. In light of single damage, the anti-noise capactity of damage identification criteria is discussed.
(4) The basic theory of flexibility matrix method is demonstrated. The model adopts simply supported 16m 5- hollow slab bridge,damage simulated by reduction of modulus of elasticity,the natural frequency and mode of vibration are computed by ANSYS ,flexibility matrix eigenvalue and damage identification criteria are computed by self design program. Discuss the feasibility, availability and applicability of damage identification criteria for flexibility matrix eigenvalue used for damage detection of girder bridge. In light of single-damage, the anti-noise capactity of damage identification criteria based on flexibility matrix eigenvalue is discussed.
(5) The conclusion part is about a summation of the content and results derived from the research mentioned in the preceding chapters,as well as the problems should be solved in the damage detection of bridge.
引文
1刘效尧,蔡键,刘晖.桥梁损伤诊断.北京:人民交通出版社. 2002, 1~223
2郭健.基于小波分析的结构损伤识别方法研究.博士学位论文.浙江:浙江大学. 2004, 1~151
3张连振,黄侨,郑一峰,王宗林.桥梁结构损伤识别理论的研究进展.哈尔滨工业大学学报. 2005, 37(10): 1415~1418
4宋雨.基于结构振动的桥梁损伤识别.振动、测试与诊断. 2005, 25(3): 222~227
5姜绍飞.基于神经网络的结构优化与损伤检测.北京:科学出版社. 2002, 1~174
6 M.J.N普瑞斯特雷, F塞勃勒, G.M卡尔维.桥梁抗震设计与加固.北京:人民交通出版社. 1997, 1~459
7闫桂荣,段忠东,欧进萍.基于结构振动信息的损伤识别研究综述.地震工程与工程振动, 2007, 27(3): 95~103
8王术新,姜哲.基于结构振动损伤识别技术的研究现状及进展.振动与冲击. 2004, 23(4): 98~102.
9 Aktan. A. E, Yao J.T.T. on Structural Identification of Construction Facilities. Proceeding of Structures Congress XIV. 1996, 651~658
10 Vandiver. J.K. Detection of Structural Failure on Fixed Platform by Measurement of Dynamic Response. Proceeding of the 7th Annual offshore Technology Conference. 1975, 243~252
11 Begg RD, Mackenzie AC, Dobbs J C, Loland O. tructural Integrity Monitoring Using Digital Processing of Vibration Signals. Proceedings of the 8th Annual offshore Technology conference. 1976, 305~311
12 Kato M, Shimada S. Vibration of PC Bridges During Failure Process. Journal of Structural Engineering. 1986, 112~117
13 Spyrakos CC. Assessment of SSI on the longitudinal Seismic Response of Short Span Bridge. Engineering Structures. 1990, 12(1): 60~66
14 Yozo. Fujino. Vibration Control and monitoring of Long~Span Bridges~Recent Research, Developments and practice in Japan .Journal of Construction SteelResearch. 2002(58): 71~97
15 Fryba. L, Pirner M. Monitoring and Evaluation of bridges. Labse Symposium Report, San Francisco 1995, Extending the Lifespan of structures. 1995, 1283~1288
16 A.K. Pankey, M. Biswas. Experimental verification of flexibility difference method for locating damage in structures. Journal of Sound and Vibration. 1995, 184(2): 311~325
17 M.M.Abdel Wahab, G. De Roeck. Damage detection in bridges using modal curvatures: application to a real damage scenario. Journal of Sound and Vibration. 1999, 226(2): 217~235.
18 Anun. Patjawit, Worsak Kanok~Nkulchai. Health Monitoring of Highway Bridges Based onA Global Flexibility Index. Engineering structures. 2005, 27(9): 1385~1391
19 Pandey.A. K, Biswas. M. Damage Detection in Structures Using Changes in Flexibility. Journal of Sound and Vibration . 1994, 169(l): 3~17
20 WuX, GhaboussiJ, Garrett. J. H. Use of neural networks in etection of structural damage.Computers & Structures. 1992, 42(4): 649~659
21 Barsi S V, Pandey P C. Vibration Signature Analysis Using Artificial Neural Networks. Journal of Computing in Civil Engineering. 1995, 9(4): 259~265
22李国强,李杰.工程结构动力检测理论与应用.北京:科学出版社. 2002, 1~283
23李国强,郝坤超,陆烨.框架结构损伤识别的两步法.同济大学学报. 1998, 5: 483~487
24秦权.桥梁结构的健康监测.中国公路学报. 2000, 13(2): 37~42
25李惠彬,秦权,钱良忠.青马悬索桥的时域模态识别.土木工程学. 2001, 34(5): 52~56
26范立础,张启伟,袁万城.公路桥梁基于模型修正理论的损伤检测.华东公路. 1998(l), 64~67
27周先雁,沈蒲生,程翔云.用振动参数识别技术对混凝土框架进行破损评估.土木工程学报. 1998, 31(2): 39~45
28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
29李德葆,陆秋海.实验模态分析及其应用.北京:科学出版社. 2001, 1~327
30唐小兵.结构损伤识别及数值模拟.博士学位论文.武汉:武汉理工大学. 2004, 1~45
31顾培英,丁伟农.模态试验在梁损伤诊断中的应用研究.振动与冲击. 2004, 233(3): 60~63
32沈文浩,张森文.基于试验模态分析的单损伤检测.暨南大学学报. 2006, 27(3): 420~424
33胡利平,韩大建.考虑环境因素影响的动态法桥梁损伤识别.华南理工大学学报. 2007, 35(3): 117~121
34董聪,范立础,陈肇元.结构智能健康诊断的理论与方法.中国铁道科学. 2002, 23(1): 11~24
35 Kim H M, Bartkowicz. An Experimental Study for Damage Detection Using a Hexagonal Truss. Computers and Structures. 2001, 79: 173~182
36 Hearn G, Testa R B. Modal Analysis for Damage Detection in Structures. Journal of Structural Engineering. 1991, 117(10): 3042~3063
37董聪.现代结构系统可靠性理论及其应用.北京:科学出版社. 2001, 1~319
38 West W M. Illustration of the Use of Modal Assurance Criterion to Detect Structural Changes in an Orbiter Test Specimen. Proc. of the 4th International Modal Analysis Conference. 1986, 1~6
39 Lieven N A. J, Ewins D J. Spatial Correlation of Mode Shapes, the Coordinate Modal Assurance Criterion(COMAC).Proc. of the 6th International Modal Analysis Conference. 1988, 690~695
40 Pandy A K, Biswas M. Damage Detection in Structures Using Change in Flexibility. Journal of Sound and Vibration. 1994, 169(1): 3~17
41谢峻.基于振动的桥梁结构损伤识别方法研究.博士学位论文.广州:华南理工大学. 2003, 1~122
42 Berman A, Flannelly W G. Theory of Incomplete Models of Dynamic Structures. AIAA Journal. 1971, 9: 1481~1487
43 Lin C S. Location of Modeling Errors Using Modal Test Data. AIAA Journal. 1990, 28: 1650~1654
44邓焱,严普强.桥梁结构损伤的振动模态检测.振动、测试与诊断. 1999, 19(3): 157~163
45李德葆,陆秋海,秦权.承弯结构的曲率模态分析.清华大学学报. 2002, 42(2): 224~227
46 Stubbs N, Kim J T, Topole K. An Efficient and Robust Algorithm for Damage Localization in Offshore Platforms. Proc. of ASCE 10th Structures Congress. 1992, 543~546
47 Cornwell 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
48 Law S S, Shi Z Y, Zhang L M. Structural Damage Detection from Incomplete and Noisy Modal Test Data. Journal of Engineering Mechanics ASCE. 1998, 124(11): 1280~1288
49张德文,魏阜旋.模型修正与破损诊断.北京:科学出版社. 1999, 1~174
50 Sammam M M, Biswas M. Vibration Testing for Nondestructive Evaluation of Bridge I: Theory. Journal of Structural Engineering ASCE. 1994, 120(1): 269~289
51李华军,杨和振.海洋平台结构参数识别和损伤诊断技术的研究进展,第十三届全国结构工程学术会议特邀报告.工程力学增刊. 2004, 116~138
52 Zong-fen Zhang and A.E. Aktan. The damage indices for the constructed facilities. Proceedings of 13PthP International Modal Analysis Conference. Nashville, USA. 1995: 1520~1529
53 A.E Aktan, F.N. Catbas, K.A. Grimmelsman, et al. Issues in infrastructure health monitoring for management. Journal of Engineering Mechanics. ASCE. 2000, 126(7): 711~724
54 Berman A, Nagy E J. Improvement of Large Analytical Modal Using Test Data. AIAA Journal. 1983, 21(8): 1168~1173
55 Kaouk M, Zimmerman D C, Simmermacher T W. Assessment of Damage Affecting All Structural Properties Using Experimental Modal Parameters. Journal of Vibration and Acoustics, Transactions of the ASME. 2000, 122: 456~462
56 Lim T W. Structural Damage Detection Using Constrained Eigenstructure Assignment. Journal of Guidance, Control, and Dynamics. 1995, 18(3): 411~418
57 H.M.Kim, T.J. Bartkowicz. A two~step structural damage detection approach with limited instrumentation. Journal of Vibration and Accoustics. 1997, 119(2): 258~264.
58 C. Li, S.W. Smith. Hybird approach for damage detection in flexible structure. Journal of Guidance, Control and Dynamics. 1995, 18(3): 429~425.
59 S.W. Doebling, F.M. Hemez, L.D. Peterson, C. Farhat. Improved damage location accuracy using strain energy-based mode selection criteria. AIAA Journal. 1997, 35(4): 693~699.
60 R.G. Cobb, B.S. Liebst. Structural damage identification using assigned partial eignstructure. AIAA Journal. 1997, 35(1): 152~158.
61 D.Y.Chiang, W.Y.Lai. Structural damage detection using the simulated evolution method. AIAA Journal. 1999, 37(10): 1331~1333.
62李大军.随机激励梁桥结构损伤识别方法研究.博士学位论文.北京:北京工业大学. 2005, 1~162
63 M. Baruch and I.Y. Bar Itzhack. Optimal weighted orthogonalization of measured modes. AIAA Journal. 1978,16(4): 346~351
64 A. Berman and E.J. Nagy. Improvement of a large analytical model using test data. AIAA Journal. 1983, 21(8): 1169~1173
65孙家升,祝兵,彭珂.神经网络法在桥梁损伤识别中的应用.山西建筑. 2007, 33(34): 312~313
66陆秋海.基于应变模态理论的结构修改和损伤神经网络辨识法研究.博士学位论文.北京:清华大学土木工程系. 1997,1~113
67孙宗光,高赞明,倪一清.基于神经网络的桥梁损伤位置识别.工程力学. 2004, 21(21): 2~5
2郭健.基于小波分析的结构损伤识别方法研究.博士学位论文.浙江:浙江大学. 2004, 1~151
3张连振,黄侨,郑一峰,王宗林.桥梁结构损伤识别理论的研究进展.哈尔滨工业大学学报. 2005, 37(10): 1415~1418
4宋雨.基于结构振动的桥梁损伤识别.振动、测试与诊断. 2005, 25(3): 222~227
5姜绍飞.基于神经网络的结构优化与损伤检测.北京:科学出版社. 2002, 1~174
6 M.J.N普瑞斯特雷, F塞勃勒, G.M卡尔维.桥梁抗震设计与加固.北京:人民交通出版社. 1997, 1~459
7闫桂荣,段忠东,欧进萍.基于结构振动信息的损伤识别研究综述.地震工程与工程振动, 2007, 27(3): 95~103
8王术新,姜哲.基于结构振动损伤识别技术的研究现状及进展.振动与冲击. 2004, 23(4): 98~102.
9 Aktan. A. E, Yao J.T.T. on Structural Identification of Construction Facilities. Proceeding of Structures Congress XIV. 1996, 651~658
10 Vandiver. J.K. Detection of Structural Failure on Fixed Platform by Measurement of Dynamic Response. Proceeding of the 7th Annual offshore Technology Conference. 1975, 243~252
11 Begg RD, Mackenzie AC, Dobbs J C, Loland O. tructural Integrity Monitoring Using Digital Processing of Vibration Signals. Proceedings of the 8th Annual offshore Technology conference. 1976, 305~311
12 Kato M, Shimada S. Vibration of PC Bridges During Failure Process. Journal of Structural Engineering. 1986, 112~117
13 Spyrakos CC. Assessment of SSI on the longitudinal Seismic Response of Short Span Bridge. Engineering Structures. 1990, 12(1): 60~66
14 Yozo. Fujino. Vibration Control and monitoring of Long~Span Bridges~Recent Research, Developments and practice in Japan .Journal of Construction SteelResearch. 2002(58): 71~97
15 Fryba. L, Pirner M. Monitoring and Evaluation of bridges. Labse Symposium Report, San Francisco 1995, Extending the Lifespan of structures. 1995, 1283~1288
16 A.K. Pankey, M. Biswas. Experimental verification of flexibility difference method for locating damage in structures. Journal of Sound and Vibration. 1995, 184(2): 311~325
17 M.M.Abdel Wahab, G. De Roeck. Damage detection in bridges using modal curvatures: application to a real damage scenario. Journal of Sound and Vibration. 1999, 226(2): 217~235.
18 Anun. Patjawit, Worsak Kanok~Nkulchai. Health Monitoring of Highway Bridges Based onA Global Flexibility Index. Engineering structures. 2005, 27(9): 1385~1391
19 Pandey.A. K, Biswas. M. Damage Detection in Structures Using Changes in Flexibility. Journal of Sound and Vibration . 1994, 169(l): 3~17
20 WuX, GhaboussiJ, Garrett. J. H. Use of neural networks in etection of structural damage.Computers & Structures. 1992, 42(4): 649~659
21 Barsi S V, Pandey P C. Vibration Signature Analysis Using Artificial Neural Networks. Journal of Computing in Civil Engineering. 1995, 9(4): 259~265
22李国强,李杰.工程结构动力检测理论与应用.北京:科学出版社. 2002, 1~283
23李国强,郝坤超,陆烨.框架结构损伤识别的两步法.同济大学学报. 1998, 5: 483~487
24秦权.桥梁结构的健康监测.中国公路学报. 2000, 13(2): 37~42
25李惠彬,秦权,钱良忠.青马悬索桥的时域模态识别.土木工程学. 2001, 34(5): 52~56
26范立础,张启伟,袁万城.公路桥梁基于模型修正理论的损伤检测.华东公路. 1998(l), 64~67
27周先雁,沈蒲生,程翔云.用振动参数识别技术对混凝土框架进行破损评估.土木工程学报. 1998, 31(2): 39~45
28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
29李德葆,陆秋海.实验模态分析及其应用.北京:科学出版社. 2001, 1~327
30唐小兵.结构损伤识别及数值模拟.博士学位论文.武汉:武汉理工大学. 2004, 1~45
31顾培英,丁伟农.模态试验在梁损伤诊断中的应用研究.振动与冲击. 2004, 233(3): 60~63
32沈文浩,张森文.基于试验模态分析的单损伤检测.暨南大学学报. 2006, 27(3): 420~424
33胡利平,韩大建.考虑环境因素影响的动态法桥梁损伤识别.华南理工大学学报. 2007, 35(3): 117~121
34董聪,范立础,陈肇元.结构智能健康诊断的理论与方法.中国铁道科学. 2002, 23(1): 11~24
35 Kim H M, Bartkowicz. An Experimental Study for Damage Detection Using a Hexagonal Truss. Computers and Structures. 2001, 79: 173~182
36 Hearn G, Testa R B. Modal Analysis for Damage Detection in Structures. Journal of Structural Engineering. 1991, 117(10): 3042~3063
37董聪.现代结构系统可靠性理论及其应用.北京:科学出版社. 2001, 1~319
38 West W M. Illustration of the Use of Modal Assurance Criterion to Detect Structural Changes in an Orbiter Test Specimen. Proc. of the 4th International Modal Analysis Conference. 1986, 1~6
39 Lieven N A. J, Ewins D J. Spatial Correlation of Mode Shapes, the Coordinate Modal Assurance Criterion(COMAC).Proc. of the 6th International Modal Analysis Conference. 1988, 690~695
40 Pandy A K, Biswas M. Damage Detection in Structures Using Change in Flexibility. Journal of Sound and Vibration. 1994, 169(1): 3~17
41谢峻.基于振动的桥梁结构损伤识别方法研究.博士学位论文.广州:华南理工大学. 2003, 1~122
42 Berman A, Flannelly W G. Theory of Incomplete Models of Dynamic Structures. AIAA Journal. 1971, 9: 1481~1487
43 Lin C S. Location of Modeling Errors Using Modal Test Data. AIAA Journal. 1990, 28: 1650~1654
44邓焱,严普强.桥梁结构损伤的振动模态检测.振动、测试与诊断. 1999, 19(3): 157~163
45李德葆,陆秋海,秦权.承弯结构的曲率模态分析.清华大学学报. 2002, 42(2): 224~227
46 Stubbs N, Kim J T, Topole K. An Efficient and Robust Algorithm for Damage Localization in Offshore Platforms. Proc. of ASCE 10th Structures Congress. 1992, 543~546
47 Cornwell 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
48 Law S S, Shi Z Y, Zhang L M. Structural Damage Detection from Incomplete and Noisy Modal Test Data. Journal of Engineering Mechanics ASCE. 1998, 124(11): 1280~1288
49张德文,魏阜旋.模型修正与破损诊断.北京:科学出版社. 1999, 1~174
50 Sammam M M, Biswas M. Vibration Testing for Nondestructive Evaluation of Bridge I: Theory. Journal of Structural Engineering ASCE. 1994, 120(1): 269~289
51李华军,杨和振.海洋平台结构参数识别和损伤诊断技术的研究进展,第十三届全国结构工程学术会议特邀报告.工程力学增刊. 2004, 116~138
52 Zong-fen Zhang and A.E. Aktan. The damage indices for the constructed facilities. Proceedings of 13PthP International Modal Analysis Conference. Nashville, USA. 1995: 1520~1529
53 A.E Aktan, F.N. Catbas, K.A. Grimmelsman, et al. Issues in infrastructure health monitoring for management. Journal of Engineering Mechanics. ASCE. 2000, 126(7): 711~724
54 Berman A, Nagy E J. Improvement of Large Analytical Modal Using Test Data. AIAA Journal. 1983, 21(8): 1168~1173
55 Kaouk M, Zimmerman D C, Simmermacher T W. Assessment of Damage Affecting All Structural Properties Using Experimental Modal Parameters. Journal of Vibration and Acoustics, Transactions of the ASME. 2000, 122: 456~462
56 Lim T W. Structural Damage Detection Using Constrained Eigenstructure Assignment. Journal of Guidance, Control, and Dynamics. 1995, 18(3): 411~418
57 H.M.Kim, T.J. Bartkowicz. A two~step structural damage detection approach with limited instrumentation. Journal of Vibration and Accoustics. 1997, 119(2): 258~264.
58 C. Li, S.W. Smith. Hybird approach for damage detection in flexible structure. Journal of Guidance, Control and Dynamics. 1995, 18(3): 429~425.
59 S.W. Doebling, F.M. Hemez, L.D. Peterson, C. Farhat. Improved damage location accuracy using strain energy-based mode selection criteria. AIAA Journal. 1997, 35(4): 693~699.
60 R.G. Cobb, B.S. Liebst. Structural damage identification using assigned partial eignstructure. AIAA Journal. 1997, 35(1): 152~158.
61 D.Y.Chiang, W.Y.Lai. Structural damage detection using the simulated evolution method. AIAA Journal. 1999, 37(10): 1331~1333.
62李大军.随机激励梁桥结构损伤识别方法研究.博士学位论文.北京:北京工业大学. 2005, 1~162
63 M. Baruch and I.Y. Bar Itzhack. Optimal weighted orthogonalization of measured modes. AIAA Journal. 1978,16(4): 346~351
64 A. Berman and E.J. Nagy. Improvement of a large analytical model using test data. AIAA Journal. 1983, 21(8): 1169~1173
65孙家升,祝兵,彭珂.神经网络法在桥梁损伤识别中的应用.山西建筑. 2007, 33(34): 312~313
66陆秋海.基于应变模态理论的结构修改和损伤神经网络辨识法研究.博士学位论文.北京:清华大学土木工程系. 1997,1~113
67孙宗光,高赞明,倪一清.基于神经网络的桥梁损伤位置识别.工程力学. 2004, 21(21): 2~5