Damage detection and localization for continuous static monitoring of structures using a proper orthogonal decomposition of signals

Smart Materials and Structures

Volumn 15, Issue 6, 2006, Pages 1811-1829

  Lanata, F ^a   Del Grosso, A ^a  

^a UNIVERSITY OF GENOA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CORRELATION METHODS; DATA REDUCTION; SIGNAL PROCESSING; STRUCTURAL ANALYSIS;

ENVIRONMENTAL LOADINGS; MULTIVARIATE ANALYSIS; STRUCTURAL RESPONSES;

INTELLIGENT STRUCTURES;

EID: 33846054471     PISSN: 09641726     EISSN: 1361665X     Source Type: Journal    
DOI: 10.1088/0964-1726/15/6/036     Document Type: Article

References (80)

1. Armitt J 1968 Eigenvector analysis of pressure fluctuations on the West Burton instrumented cooling tower Internal Report RD/L/M 114/68 Central Electricity Research Laboratory, UK
2. Autonne L 1902 Sur les groupes linéaires, réels et orthogonaux Bull. Soc. Math. Fr. 30 121-34
3. Azeez M F A and Vakakis A F 2001 Proper orthogonal decomposition (POD) of a class of vibroimpact oscillations J. Sound Vib. 240 859-89
4. Beltrami E 1873 Sulle funzioni bilineari Giornale Math. Battaglini 11 98-106
5. Berkooz G, Holmes P and Lumley J L 1993 The proper orthogonal decomposition in the analysis of turbulent flow Annu. Rev. Fluid Mech. 25 539-75
6. Bienkiewicz B, Tamura Y, Ham H J, Ueda H and Hibi K 1995 Proper orthogonal decomposition and reconstruction of multi-channel roof pressure J. Wind Eng. Ind. Aerodyn. 54/55 369-81
7. Brownjohn J M W, Moyo P, Omenzetter P and Chakraborty S 2005 Lessons from monitoring the performance of highway bridges Struct. Control Health Monitoring 12 227-44
8. Carassale L, Piccardo G and Solari G 2001 Double modal transformation and wind engineering applications J. Eng. Mech. 127 432-9
9. Carassale L and Solari G 2002 Wind modes for structural dynamics: a continuous approach Prob. Eng. Mech. 17 157-66
10. Cevenini G, Borzelli G, Rubegni P, Massai M R, Andreassi L and Barbini P 2000 Modified Karhunen-Loéve expansion for evaluating skin-colour-associated melanoma risk factors Comput. Biol. Med. 30 171-89
11. Chen X and Kareem A 2005 Proper orthogonal decomposition-based modeling, analysis, and simulation of dynamic wind load effects on structures J. Eng. Mech. ASCE 4 325-39
12. Courmontagne Ph 1999 A new formulation for the Karhunen-Loéve expansion Signal Proc. 79 235-49
13. Crespo-Minguillion C and Casas J R 1997 A comprehensive traffic load model for bridge safety checking Struct. Safety 19 339-59
14. Davenport W B and Root W L 1987 An Introduction to the Theory of Random Signals and Noise (New York: McGraw-Hill)
15. De Boe P and Golinval J C 2003 Principal component analysis of piezo-sensor array for damage localization Struct. Health Monitoring 2 137-44
16. Del Grosso A, Inaudi D and Lanata F 2000 Strain and displacement monitoring of a quay wall in the Port of Genoa by means of fibre optic sensors 2nd Eur. Conf. on Structural Control (Paris)
17. Del Grosso A and Lanata F 2001 Data analysis and interpretation for long-term monitoring of structures Int. J. Restoration Buildings Monuments 7 285-300
18. Del Grosso A and Lanata F 2006 Health monitoring of R.C. structures: a comparison of static and dynamic approaches via benchmarking 2nd FIB Congress pp17-20 (on CD-ROM)
19. Diamantaras K I and Kung S Y 1996 Principal Component Neural Networks: Theory and Applications (New York: Wiley)
20. Di Paola M and Pisano A A 1996 Multivariate stochastic wave generation Appl. Ocean Res. 18 361-5
21. Eckart C and Young G 1939 A principle axis transformation for non-hermitian matrices Am. Math. Soc. Bull. 45 118-21
22. Faber M H, Val D V and Stewart M G 2000 Proof load testing for bridge assessment and upgrading Eng. Struct. 22 1677-89
23. Feeny B F and Kappagantu R 1998 On the physical interpretation of proper orthogonal modes in vibrations J. Sound Vib. 211 607-16
24. Feeny B F and Liang Y 2003 Interpreting proper orthogonal modes of randomly excited vibration systems J. Sound Vib. 265 953-66
25. Galvanetto U and Violaris G 2006 Numerical investigation of a new damage detection method based on proper orthogonal decomposition Mech. Syst. Signal Process at press
26. Garcia J, Astrom M, Mendive J, Laguna P and Sornmo L 2003 ECG-based detection of body position changes in ischemia monitoring IEEE Trans. Biomed. Eng. 50 677-84
27. Ghiocel D M and Ghanem R G 2002 Stochastic finite-element analysis of seismic soil-structure interaction J. Eng. Mech. ASCE 1 66-77
28. Glisic B and Inaudi D 2003 Structural monitoring of concrete bridges during whole lifespan 82nd Annual Mtg of the TRB (Washington DC, USA, 03-3012) (on CD-ROM)
29. Gutiérrez E and Zaldivar J M 2000 The application of Karhunen-Loéve, ro principal component analysis method, to study the non-linear seismic response of structures Earthq. Eng. Struct. Dyn. 29 1261-86
30. Han S and Feeny B F 2003 Application of proper orthogonal decomposition to structural vibration analysis Mech. Syst. Signal Process 17 1163-84
31. Holmes J D, Sankaran R, Kwok K C S and Syme M J 1997 Eigenvector modes of fluctuating pressures on low-rise building models J. Wind Eng. Ind. Aerodyn. 69-71 697-707
32. Hotelling H 1933a Analysis of a complex of statistical variables into principal components J. Educ. Psychol. 24 417-41
33. Hotelling H 1933b Analysis of a complex of statistical variables into principal components J. Educ. Psychol. 24 498-520
34. Jeong S-H, Bienkiewicz B and Ham H-J 2000 Proper orthogonal decomposition of building wind pressure specified at non-uniformly distributed pressure taps J. Wind Eng. Ind. Aerodyn. 87 1-14
35. Jolliffe I T 2002 Principal Component Analysis (New York: Springer)
36. Jordan M C 1874 Mémorie sur les formes bilinéaires J. Math. Pures Appl. 19 35-54
37. Kac M and Siegert A J F 1947 An esplicit representation of a stationary Gaussian process Ann. Math. Stat. 18 438-42
38. Kappagantu R V and Feeny B F 2000a Part 1: dynamical characterization of a frictionally excited beam Nonlinear Dyn. 22 317-33
39. Kappagantu R V and Feeny B F 2000b Part 2: proper orthogonal modal modeling of a frictionally excited beam Nonlinear Dyn. 23 1-11
40. Karhunen K 1946 Zur spektraktheorie stochastischer prozess Ann. Acad. Sci. Fennicae 1 34
41. Kerschen G and Golinval J C 2002 Physical interpretation of the proper orthogonal modes using the singular value decomposition J. Sound Vib. 249 849-65
42. Kerschen G, Golinval J C, Vakasis A F and Bergman L A 2005 The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview Nonlinear Dyn. 41 147-69
43. Kho S, Baker C and Hoxey R 2002 POD/ARMA reconstruction of the surface pressure field around a low-rise structure J. Wind Eng. Ind. Aerodyn. 90 1831-42
44. Kim J-T, Ryu Y-S, Cho H-M and Stubbs N 2003 Damage identification in beam-type structures: frequency-based method vs mode-shape-based method Eng. Struct. 25 57-67
45. Kosambi D D 1943 Statistics in function space J. Indian Math. Soc. 7 76-88
46. Kreuzer E and Kust O 1996 Analysis of long torsional strings by proper orthogonal decomposition Arch. Appl. Mech. 67 68-80
47. Kullaa J 2006 Removing non-linear environmental influences from structural features Structural Health Monitoring 2006 pp635-42
48. Lanata F 2005 Damage detection algorithms for continuous static monitoring of structures PhD Thesis University of Genoa DISEG, Italy
49. Lanata F and Del Grosso A 2004 Damage detection algorithms for continuous static monitoring: review and comparison 3rd Eur. Conf. On Structural Control (Wien, Austria) vol 1
50. Lenaerts V, Kerschen G and Golinval J C 2003 ECL benchmark: application of the proper orthogonal decomposition Mech. Syst. Signal Process 17 237-42
51. Liang Y C, Lee H P, Lim S P, Lin W Z, Lee K H and Wu C G 2002a Proper orthogonal decomposition and its applications-Part I: theory J. Sound Vib. 252 527-44
52. Liang Y C, Lin W Z, Lee H P, Lim S P, Lee K H and Sun H 2002b Proper orthogonal decomposition and its applications-Part II: model reduction for MEMS dynamical analysis J. Sound Vib. 256 515-32
53. Lin W Z, Lee K H, Lu P, Lim S P and Liang Y C 2002 The relationship between eigenfunctions of Karhunen-Loéve decomposition and the modes of distributed parameter vibration system J. Sound Vib. 256 791-9
54. Loéve M 1945 Fonctions aléatoire de second ordre C. R. Acad. Sci. Paris Ser. 1 220-469
55. Loéve M 1955 Probability Theory (New York: Van Nostrand)
56. Logan J D 1988 Applied Mathematics-A Contemporary Approach (New York: Wiley) pp199-216
57. Lumley J L 1970 Stochastic Tools in Turbulence (New York: Academic)
58. Manson G 2002 Identifying damage sensitive, environment insensitive features for damage detection 3rd Int. Conf. on Identif. in Engng. Syst. pp187-97
59. Masri S F, Sheng L-H, Caffrey J P, Nigbor R L, Wahbeh M and Abdel-Ghaffar A M 2004 Application of a Web-enabled real-time structural health monitoring system for civil infrastructure systems Smart Mater. Struct. 13 1269-83
60. Maurel S, Borée J and Lumley J L 2001 Extended proper orthogonal decomposition: application to jet/vortex interaction Flow, Turbulence Combustion 67 125-36
61. Mercer T 1909 Functions of positive and negative type and their connection with the theory of integral equations Trans. London Phil. Soc. A 209 415-46
62. Omenzetter P, Brownjohn J M W and Moyo P 2004 Identification of unusual events in multi-channel bridge monitoring data Mech. Syst. Signal Process 18 409-30
63. Papoulis A 1965 Probability, Random Variables, and Stochastic Processes (New York: McGraw-Hill)
64. Pearson K 1901 On lines and planes of closet fit to systems of points in space Phil. Mag. 6 2 559-72
65. Phoon K K, Huang H W and Quek S T 2004 Comparison between Karhunen-Loéve and wavelet expansions for simulation of Gaussian processes Comput. Struct. 82 985-91
66. Ravindra B 1999 Comments on 'on the physical interpretation of proper orthogonal modes in vibrations' J. Sound Vib. 219 189-92
67. Riaz M S and Feeny B F 2003 Proper orthogonal modes of a beam sensed with strain gauges J. Vib. Acoust. 125 129-31
68. Rocha M M, Cabral S V S and Riera J D 2000 A comparison of proper orthogonal decomposition and Monte Carlo simulation of wind pressure data J. Wind Eng. Ind. Aerodyn. 84 329-44
69. Sikorsky C 1999 Development of a health monitoring system for civil structures using a level IV non-destructive damage evaluation method Struct. Health Monitoring 2000 pp68-81
70. Sirovich L 1987 Turbulence and the dynamics of coherent structures. Part I-III Q. Appl. Math. XLV 561-90
71. Solari G and Carassale L 2000 Modal transformation tools in structural dynamics and wind engineering Wind Struct. 3 221-41
72. Solari G, Carassale L and Tubino F 2005 POD methods and applications in wind engineering 6th Asia-Pacific Symp on Wind Engng. (Seoul) at press
73. Sylvester J J 1889 On the reduction of a bilinear quantic of the nth order to the form of a sum of n products by a double orthogonal substitution Messenger Math. 19 42-6
74. Tamura Y, Suganuma S, Kikuchi H and Hibi K 1999 Proper orthogonal decomposition of random wind pressure field J. Fluids Struct. 13 1069-95
75. Trindade M A, Wolter C and Sampaio R 2005 Karhunen-Loéve decomposition of coupled axial/bending vibrations of beams subject to impacts J. Sound Vib. 279 1015-36
76. Tumer I Y, Wood K L and Busch-Vishniac I J 2000 Monitoring of signals from manufacturing processes using the Karhunen-Loéve transform Mech. Syst. Signal Process 14 1011-26
77. Walton T L Jr 2000 Separation of shoreline change signal from random noise Ocean Eng. 27 77-86
78. Wenzel H and Pichler D 2005 Ambient Vibration Monitoring (Chichester: Wiley)
79. Wu C G, Liang Y C, Lin W Z, Lee K H and Lim S P 2003 A note on equivalence of proper orthogonal decomposition methods J. Sound Vib. 265 1103-10
80. Yan A M, Kerschen G, De Boe P and Golinval J C 2005 Structural damage diagnosis under changing environmental conditions, Part I: A linear analysis Mech. Syst. Signal Process 19 847-64