结构健康监测中的传感器布置方法及评价准则
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摘要
综述了结构健康监测中常用的传感器布置方法及其评价准则研究的最新进展.重点分析了几种常用传感器布置方法间数学本质上的内在联系,尤其是讨论了有效独立法与模态动能法之间的关系、有效独立法与QR分解法和MinMAC法的区别与联系.通过一个梯形结构对比了各种传感器的布置方法所给出的传感器位置组合.讨论了目前常用的5种传感器布置方法评价准则,并阐明其中两个准则与作者所提出准则间的关系.
Recent progress of investigations on sensor deployment methods and their evaluation criteria in structural health monitoring are critically reviewed in the paper. Existing major sensor deployments are analyzed with emphasis laid on revealing their mathematical interrelationship and differences. In particular, the relationship between the Effective Independence method and the Modal Kinetic Energy method, the connections between the Effective Independence method and the QR decomposition method and MinMAC method, are discussed in details. Furthermore, a ladder structure is employed as a model to compare the discussed sensor deployment methods and traditional five evaluation criteria for sensor deployment methods. Finally, an evaluation criterion proposed by the author is discussed through its connection with two traditional evaluation criteria.
Recent progress of investigations on sensor deployment methods and their evaluation criteria in structural health monitoring are critically reviewed in the paper. Existing major sensor deployments are analyzed with emphasis laid on revealing their mathematical interrelationship and differences. In particular, the relationship between the Effective Independence method and the Modal Kinetic Energy method, the connections between the Effective Independence method and the QR decomposition method and MinMAC method, are discussed in details. Furthermore, a ladder structure is employed as a model to compare the discussed sensor deployment methods and traditional five evaluation criteria for sensor deployment methods. Finally, an evaluation criterion proposed by the author is discussed through its connection with two traditional evaluation criteria.
引文
1 Kubrusly CS,Malberanche H.Sensor and controllers location in distributed system-a survey.Automatica,1985, 21:117-128
2 Papadopoulos M,Garicia E.Sensor placement methodologies for dynamic testing.AIAA Journal,1998,36: 256-163
3 Li DS,Li HN,Frizen CP.The connection between effective independence and modal kinetic energy methods for sensor placemenr.Jounal of Sound and Vibration,2007, 305:945-955
4李宏男，李东升．土木工程结构安全性评估、健康检测及诊断述评．地震工程与工程振动，2002，22(4)：83-90
5 Staszewsk WJ,Boller C,Tomlison GR.Health Monitoring of Aerospace Structure:Smart Sensor Technologies and Singal Processing.England:John Wiley＆Sons Ltd, 2004
6刘福强，张令弥．作动器／传感器优化配置的研究进展．力学进展，2000，25(5)：506-516
7 Farrar CR,Sohn H,Hemez FM,et al.Damage prognosis: current status and future needs.Los Alamos National Laboratory report A-14051-MS,2003
8刘效尧，蔡健，刘晖．桥梁损伤诊断．北京：人民交通出版社，2002
9 Udwadia FE.Methodology for optimum sensor locations for patameter identification in dynamic systems.Journal of Engineering Mechanics-ASCE,1994,(120):368-390
10 Pickrel CR.A practical approach to modal pretest design. Mechanical System and Singal Processing,1999, (13):271-295
11 Carne TG,Dohrmann CR.A modal test design strategy for model correlation.In:Proceedings of the 13th International Modal Analysis Conference,Nashcille,TN,USA, 1995
12 Kammer DC.Sensor placement for on-orbit modal identification and correlation of large space structures.J of Guidance and Control Dynamics,1991,(14):251-259
13 Shi ZY,Law SS,Zhang LM.Optimum sensor placement for structural damage detection.Journal of Engineering Mechanics-ASCE,2000,(126):1173-1179
14 Guo HY,Zhang L,Zhang LL,et al.Optimal placement of sensors for structural health monitoring using improved genetic algorithms.Smart Materials＆Structures,2004, 13(4):528-534
15 Jiang X,Adeli H.Pseudospectra,music,and dynamic wavelet neural network for damage detection of highrise buildings.Int.J.Num.Meth.Engrg,2007,71(6): 606-629
16 Worden K,Burrows AP.Optimal sensor placement for fault detection.Engineering Structures,2001,23: 885-901
17 Heylen W,Lammens S,Sas P.Modal Analysis Theory and Testing.Belgium:Katholieke Unversiteit Leuven,1998
18 De Clerck JP,Avitable P.Development of several new tools for pre-test evaluation.In:Proceedings of the 16th International Modal Analysis Conference,Orlando,Fl, USA,1998
19 Glassburn RS.Evaluation of sensor placement algorithms for on-orbit identification of space platforms.[MS thesis]. Kentucky:Lexington,1994
20 Chung YT,Moore D.Selection of measurement locations for experimental modal analysis.In:Proceedings of the 11th International Modal Analysis Conference,Orlando, Fl,USA,1993
21 Golub GH,Van Loan CF.Matrix Computations.3rd edn. Baltimore:Johns Hopkins University Press,1996
22 Heo G,Wang ML,Satpathi D.Optimal transducer placement for health monitoring of long span bridge.Soil Dynamics and Earthquake Engineering,1997,(16):495-502
23 Coote JE,Lieven NAJ,Skingle GW.Sensor placement optimisation for modal testing of a helicopter fuselage. In:Proceedings of the 23th International Modal Analysis Conference,Orlando,Fl,USA,2005
24 Meo M,Zumpano G.On the optimal sensor placement techniques for a bridge structure.Engineering Structure, 2005,27:1488-1497
25 Peck J,Torres I.A DMAP Program for the selection of accelerometer locations in MSC/NASTRAN.In:Proceedings of the 45~(th) AIAA/ASME/ASCE/AHS/ASC Structure Dynamic and Materials Conference,2004
26崔飞，袁万城，史加钧．传感器优化布设在桥梁健康监测中的应用．同济大学学报，1999，27(2)：165-169
27 Li DS,Fritzen CP,Li HN.Extended MinMAC algorithm and comparison of sensor placement methods,In:Proceedings of the 26th International Modal Analysis Conference, Orlando,Fl,USA,2008
28 Schedlinski C,Link M.An approach to optimal pick-up and exxiter placement.In:Proceedings of the 14th International Modal Analysis Conference,Orlando,Fl,USA, 1996
29 Park YS,Kim HB.Sensor placement guide for model comparison and improvement.In:Proceedings of the 14th International Modal Analysis Conference,Orlando,Fl, USA,1996
30 Reynier M,Abou-Kandil H.Sensor location for updating problems.Mechanical System and Singal Processing, 1999,13:197-314
31 Cherng AP.Optimal sensor placement for modal parameter identification using signal subspace correlation techniques. Mechanical Systems and Signal Processing,2003, 17:361-378
32 Penny JET,Friswell MI,Garvey SD.Automatic choice of measurement locations for modal survey test.AIAA Journal,1994,32:407-414
33 Ewins DJ.Modal Testing:Theory,Practice and Application. England:Research Studies Press,2000
34 Friswell MI,Mottershead JE.Finite Element Model Updating in Structural Dynamics.Boston:Kluwer Academic Publisher,1995
35 Flanigan CC,Botos CD.Automated selection of accelerometer locations for modal survey test.In:Proceedings of the 10th International Modal Analysis Conference, Orlando,Fl,USA,1992
36 Stubbs N,Park S.Optimal sensor placement for mode shapes via Shannon's sampling theorem.Microcomputers in Civil Engineering,1996,(12):411-419
37 Limongelli MP.Optimal location of sensors for reconstruction of seismic responses through spline function interpolation. Earthquake Engineering＆Structural Dynamics, 2003,32:1055-1074
38 Pape DA.Measurement locations for experimental modal analysis.In:Proceedings of the 12th International Modal Analysis Conference,Orlando,Fl,USA,1994
39 Trendafilova I,Heylen W,Van Brussel H.Measurement point selection in damage detection using the mutual information concept.Smart Materials and Structure,2001: 528-533
40 Papadimitriou C.Optimal sensor placement methodology for parametric identification of structural systems.Journal of Sound and Vibration,2004,278:923-947
41 Robert-Nicoud Y,Raphael B,Smith IFC.Configuration of measurement systems using Shannon's entropy function. Computers and Structures,2005,83:599-612
42 Heredia-Zavoni E,Esteva L.Optimal instrumentation of uncertain structural systems subject to earthquake ground motions.Earthquake Engineering and Structural Dynamics, 1998,27:343-362
43 Pan CT.On the existence and computation of rankrevealing LU factorization.Linear Algebra and Its Applications, 2000,316:199-222
44 Gawronski WK.Dynamics Identification and Control of Structures.New York:Springer-Verlag,2004
45 Gawronski WK.Actuator and sensor placement for structural testing and control.Journal of Sound and Vibration, 1997,208:101-109
46 Li DS,Li HN,Frizen CP.On the physical significance of the norm based sensor placement method.In:Proceedings of the 3rd European workshop on structural health monitoring,Grananda,Spain,2006
47 Preumont A.Vibration Control of Active Structure. Boston:Kluwer Acadenic Publisher,2002
48 Stabb M,Blelloch P.A genetic algorithm for optimally selecting accelerometer locations.In:Proceedings of the 11th International Modal Analysis Conference,Nashville, TN,USA,1995
49李戈，秦权，董冲．用遗传算法选择悬索桥检测系统中传感器的最优布点．工程力学，2002，17(1)：25-34
50 Shih YT,Lee AC,Chen JH.Sensor and actuator placement for modal identification.Mechanical Systems and Signal Processsing,1998,13:641-659
51 Li DS,Li HN,Frizen CP.On optimal sensor placement criterion for structural health monitoring with representative least squares method.Key Engineering Materials, 2009,413-414:383-391
52李东升，李宏男，王国新，等．传感器布设中有效独立法的简捷快速算法．防灾减灾工程学报，2009，29(1)：103-108
2 Papadopoulos M,Garicia E.Sensor placement methodologies for dynamic testing.AIAA Journal,1998,36: 256-163
3 Li DS,Li HN,Frizen CP.The connection between effective independence and modal kinetic energy methods for sensor placemenr.Jounal of Sound and Vibration,2007, 305:945-955
4李宏男，李东升．土木工程结构安全性评估、健康检测及诊断述评．地震工程与工程振动，2002，22(4)：83-90
5 Staszewsk WJ,Boller C,Tomlison GR.Health Monitoring of Aerospace Structure:Smart Sensor Technologies and Singal Processing.England:John Wiley＆Sons Ltd, 2004
6刘福强，张令弥．作动器／传感器优化配置的研究进展．力学进展，2000，25(5)：506-516
7 Farrar CR,Sohn H,Hemez FM,et al.Damage prognosis: current status and future needs.Los Alamos National Laboratory report A-14051-MS,2003
8刘效尧，蔡健，刘晖．桥梁损伤诊断．北京：人民交通出版社，2002
9 Udwadia FE.Methodology for optimum sensor locations for patameter identification in dynamic systems.Journal of Engineering Mechanics-ASCE,1994,(120):368-390
10 Pickrel CR.A practical approach to modal pretest design. Mechanical System and Singal Processing,1999, (13):271-295
11 Carne TG,Dohrmann CR.A modal test design strategy for model correlation.In:Proceedings of the 13th International Modal Analysis Conference,Nashcille,TN,USA, 1995
12 Kammer DC.Sensor placement for on-orbit modal identification and correlation of large space structures.J of Guidance and Control Dynamics,1991,(14):251-259
13 Shi ZY,Law SS,Zhang LM.Optimum sensor placement for structural damage detection.Journal of Engineering Mechanics-ASCE,2000,(126):1173-1179
14 Guo HY,Zhang L,Zhang LL,et al.Optimal placement of sensors for structural health monitoring using improved genetic algorithms.Smart Materials＆Structures,2004, 13(4):528-534
15 Jiang X,Adeli H.Pseudospectra,music,and dynamic wavelet neural network for damage detection of highrise buildings.Int.J.Num.Meth.Engrg,2007,71(6): 606-629
16 Worden K,Burrows AP.Optimal sensor placement for fault detection.Engineering Structures,2001,23: 885-901
17 Heylen W,Lammens S,Sas P.Modal Analysis Theory and Testing.Belgium:Katholieke Unversiteit Leuven,1998
18 De Clerck JP,Avitable P.Development of several new tools for pre-test evaluation.In:Proceedings of the 16th International Modal Analysis Conference,Orlando,Fl, USA,1998
19 Glassburn RS.Evaluation of sensor placement algorithms for on-orbit identification of space platforms.[MS thesis]. Kentucky:Lexington,1994
20 Chung YT,Moore D.Selection of measurement locations for experimental modal analysis.In:Proceedings of the 11th International Modal Analysis Conference,Orlando, Fl,USA,1993
21 Golub GH,Van Loan CF.Matrix Computations.3rd edn. Baltimore:Johns Hopkins University Press,1996
22 Heo G,Wang ML,Satpathi D.Optimal transducer placement for health monitoring of long span bridge.Soil Dynamics and Earthquake Engineering,1997,(16):495-502
23 Coote JE,Lieven NAJ,Skingle GW.Sensor placement optimisation for modal testing of a helicopter fuselage. In:Proceedings of the 23th International Modal Analysis Conference,Orlando,Fl,USA,2005
24 Meo M,Zumpano G.On the optimal sensor placement techniques for a bridge structure.Engineering Structure, 2005,27:1488-1497
25 Peck J,Torres I.A DMAP Program for the selection of accelerometer locations in MSC/NASTRAN.In:Proceedings of the 45~(th) AIAA/ASME/ASCE/AHS/ASC Structure Dynamic and Materials Conference,2004
26崔飞，袁万城，史加钧．传感器优化布设在桥梁健康监测中的应用．同济大学学报，1999，27(2)：165-169
27 Li DS,Fritzen CP,Li HN.Extended MinMAC algorithm and comparison of sensor placement methods,In:Proceedings of the 26th International Modal Analysis Conference, Orlando,Fl,USA,2008
28 Schedlinski C,Link M.An approach to optimal pick-up and exxiter placement.In:Proceedings of the 14th International Modal Analysis Conference,Orlando,Fl,USA, 1996
29 Park YS,Kim HB.Sensor placement guide for model comparison and improvement.In:Proceedings of the 14th International Modal Analysis Conference,Orlando,Fl, USA,1996
30 Reynier M,Abou-Kandil H.Sensor location for updating problems.Mechanical System and Singal Processing, 1999,13:197-314
31 Cherng AP.Optimal sensor placement for modal parameter identification using signal subspace correlation techniques. Mechanical Systems and Signal Processing,2003, 17:361-378
32 Penny JET,Friswell MI,Garvey SD.Automatic choice of measurement locations for modal survey test.AIAA Journal,1994,32:407-414
33 Ewins DJ.Modal Testing:Theory,Practice and Application. England:Research Studies Press,2000
34 Friswell MI,Mottershead JE.Finite Element Model Updating in Structural Dynamics.Boston:Kluwer Academic Publisher,1995
35 Flanigan CC,Botos CD.Automated selection of accelerometer locations for modal survey test.In:Proceedings of the 10th International Modal Analysis Conference, Orlando,Fl,USA,1992
36 Stubbs N,Park S.Optimal sensor placement for mode shapes via Shannon's sampling theorem.Microcomputers in Civil Engineering,1996,(12):411-419
37 Limongelli MP.Optimal location of sensors for reconstruction of seismic responses through spline function interpolation. Earthquake Engineering＆Structural Dynamics, 2003,32:1055-1074
38 Pape DA.Measurement locations for experimental modal analysis.In:Proceedings of the 12th International Modal Analysis Conference,Orlando,Fl,USA,1994
39 Trendafilova I,Heylen W,Van Brussel H.Measurement point selection in damage detection using the mutual information concept.Smart Materials and Structure,2001: 528-533
40 Papadimitriou C.Optimal sensor placement methodology for parametric identification of structural systems.Journal of Sound and Vibration,2004,278:923-947
41 Robert-Nicoud Y,Raphael B,Smith IFC.Configuration of measurement systems using Shannon's entropy function. Computers and Structures,2005,83:599-612
42 Heredia-Zavoni E,Esteva L.Optimal instrumentation of uncertain structural systems subject to earthquake ground motions.Earthquake Engineering and Structural Dynamics, 1998,27:343-362
43 Pan CT.On the existence and computation of rankrevealing LU factorization.Linear Algebra and Its Applications, 2000,316:199-222
44 Gawronski WK.Dynamics Identification and Control of Structures.New York:Springer-Verlag,2004
45 Gawronski WK.Actuator and sensor placement for structural testing and control.Journal of Sound and Vibration, 1997,208:101-109
46 Li DS,Li HN,Frizen CP.On the physical significance of the norm based sensor placement method.In:Proceedings of the 3rd European workshop on structural health monitoring,Grananda,Spain,2006
47 Preumont A.Vibration Control of Active Structure. Boston:Kluwer Acadenic Publisher,2002
48 Stabb M,Blelloch P.A genetic algorithm for optimally selecting accelerometer locations.In:Proceedings of the 11th International Modal Analysis Conference,Nashville, TN,USA,1995
49李戈，秦权，董冲．用遗传算法选择悬索桥检测系统中传感器的最优布点．工程力学，2002，17(1)：25-34
50 Shih YT,Lee AC,Chen JH.Sensor and actuator placement for modal identification.Mechanical Systems and Signal Processsing,1998,13:641-659
51 Li DS,Li HN,Frizen CP.On optimal sensor placement criterion for structural health monitoring with representative least squares method.Key Engineering Materials, 2009,413-414:383-391
52李东升，李宏男，王国新，等．传感器布设中有效独立法的简捷快速算法．防灾减灾工程学报，2009，29(1)：103-108
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