Static-based early-damage detection using symbolic data analysis and unsupervised learning methods
João Pedro SANTOS, Christian CREMONA, André D. ORCESI, Paulo SILVEIRA, Luis CALADO
Static-based early-damage detection using symbolic data analysis and unsupervised learning methods
A large amount of researches and studies have been recently performed by applying statistical and machine learning techniques for vibration-based damage detection. However, the global character inherent to the limited number of modal properties issued from operational modal analysis may be not appropriate for early-damage, which has generally a local character.
The present paper aims at detecting this type of damage by using static SHM data and by assuming that early-damage produces dead load redistribution. To achieve this objective a data driven strategy is proposed, consisting of the combination of advanced statistical and machine learning methods such as principal component analysis, symbolic data analysis and cluster analysis.
From this analysis it was observed that, under the noise levels measured on site, the proposed strategy is able to automatically detect stiffness reduction in stay cables reaching at least 1%.
structural health monitoring, early-damage detection, principal component analysis, symbolic data, symbolic dissimilarity measures, cluster analysis / numerical model, damage simulations
[1] |
Hu X, Shenton H W. Damage identification based on dead load redistribution methodology. Journal of Structural Engineering, 2006, 132(8): 1254–1263
|
[2] |
Teughels A, De Roeck G. Damage detection and parameter identification by finite element model updating. Rev Eur Génie Civ, 2005, 9(1): 109–158
|
[3] |
Rytter A. Vibration Based Inspection of Civil Engineering Structures. Aalborg University, 1993
|
[4] |
Doebling S W, Farrar C R, Prime M B, Shevitz D W. Damage Identification and Health Monitoring of Structural and Mechanical Systems from Changes in Their Vibration Characteristics: A Literature Review. Los Alamos, USA, 1996
|
[5] |
Sohn H, Farrar C, Hemez F M, Shunk D D, Stinemates D W, Nadler B R. A Review of Structural Health Monitoring Literature: 1996 - 2001. Los Alamos, USA, 2004
|
[6] |
Alvandi A, Crémona C. Assessment of vibration-based damage identification techniques. Journal of Sound and Vibration, 2006, 292(1-2): 179–202
|
[7] |
Posenato D, Kripakaran P, Inaudi D, Smith I F C. Methodologies for model-free data interpretation of civil engineering structures. Computers & Structures, 2010, 88(7-8): 467–482
|
[8] |
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
|
[9] |
Moyo P, Brownjohn J M W. Detection of anomalous structural behaviour using wavelet analysis. Mechanical Systems and Signal Processing, 2002, 16(2-3): 429–445
|
[10] |
E. Diday and Noirhomme-Fraiture. Symbolic Data Analysis and the SODAS Software. Chicester: John Wiley and Sons, 2008, 445
|
[11] |
Cury A, Crémona C. Assignment of structural behaviours in long-term monitoring: Application to a strengthened railway bridge. Structural Health Monitoring, 2012, 11(4): 422–441
|
[12] |
Oh C K, Sohn H. Damage diagnosis under environmental and operational variations using unsupervised support vector machine. Journal of Sound and Vibration, 2009, 325(1-2): 224–239
|
[13] |
Hua X G, Ni Y Q, Ko J M, Wong K Y. 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
|
[14] |
Zhou H F, Ni Y Q, Ko J M. Constructing input to neural networks for modelling temperature-caused modal variability: Mean temperatures, effective temperatures, and principal components of temperatures. Engineering Structures, 2010, 32(6): 1747–1759
|
[15] |
Mata J. Interpretation of concrete dam behaviour with artificial neural network and multiple linear regression models. Engineering Structures, 2011, 33(3): 903–910
|
[16] |
Ni Y Q, Hua X G, Fan K Q, Ko J M. Correlating modal properties with temperature using long-term monitoring data and support vector machine technique. Engineering Structures, 2005, 27(12): 1762–1773
|
[17] |
Posenato D. Model-Free Data Interpretation for Continuous Monitoring of Complex Structures. École Polytechnique Fédérale de Lausanne, 2009
|
[18] |
Cury A. Téchniques D’Anormalité Appliquées a la Surveillance de Santé Structurale. Université Paris-Est, 2010
|
[19] |
Yan A, Kerschen G, De Boe P, Golinval J C. Structural damage diagnosis under varying environmental conditions—Part I: A linear analysis. Mechanical Systems and Signal Processing, 2005, 19(4): 865–880
|
[20] |
Bellino A, Fasana A, Garibaldi L, Marchesiello S Ã. PCA-based detection of damage in time-varying systems. Mechanical Systems and Signal Processing, 2010, 24(7): 2250–2260
|
[21] |
Zhou H F, Ni Y Q, Ko J M. Structural damage alarming using auto-associative neural network technique: Exploration of environment-tolerant capacity and setup of alarming threshold. Mechanical Systems and Signal Processing, 2011, 25(5): 1508–1526
|
[22] |
Hsu T Y, Loh C H. Damage detection accommodating nonlinear environmental effects by nonlinear principal component analysis. Structural Control and Health Monitoring, 2010, 17(3): 338–354
|
[23] |
Mujica L, Rodellar J, Fernandez A, Guemes A. Q-statistic and T2-statistic PCA-based measures for damage assessment in structures. Structural Health Monitoring, 2011, 10(5): 539–553
|
[24] |
da Silva S, Dias Júnior M, Lopes Junior V, Brennan M J. Structural damage detection by fuzzy clustering. Mechanical Systems and Signal Processing, 2008, 22(7): 1636–1649
|
[25] |
Sohn H, Kim S D, Harries K. Reference-Free Damage Classification Based on Cluster Analysis. Comput Civ Infrastruct Eng, 2008, 23(5): 324–338
|
[26] |
Cury A, Crémona C, Diday E. Application of symbolic data analysis for structural modification assessment. Engineering Structures, 2010, 32(3): 762–775
|
[27] |
Santos J, Orcesi A D, Silveira P, Guo W. Real time assessment of rehabilitation works under operational loads. In: Proceedings of the ICDS12 - International Conference on Durable Structures: From construction to rehabilitation. 2012
|
[28] |
Hua X G, Ni Y Q, Chen Z Q, Ko J M. Structural damage detection of cable-stayed bridges using changes in cable forces and model updating. Journal of Structural Engineering, 2009, 135(9): 1093–1106
|
[29] |
Hu X, Shenton H W III. Damage identification based on dead load redistribution effect of measurement error. Journal of Structural Engineering, 2006, 132(8): 1264–1273
|
[30] |
Jolliffe I T. Principal Component Analysis. 2nd ed. Aberdeen: Springer, 2002, 518
|
[31] |
Billard L, Diday E. Symbolic Data Analysis. Chichester: John Wiley and Sons, 2006, 52(2): 321
|
[32] |
Theodoridis S, Koutroumbas K. Pattern Recognition. 4th ed. London: Elsevier, 2009, 961
|
[33] |
Ichino M, Yaguchi H. Generalized Minkowski metrics for mixed feature-type data analysis. IEEE Transactions on Systems, Man, and Cybernetics, 1994, 24(4): 698–708
|
[34] |
Gowda K C, Diday E. Symbolic clustering using a new dissimilarity measure. IEEE Transactions on Systems, Man, and Cybernetics, 1991, 24(6): 567–578
|
[35] |
Hastie T. The Elements of Statistical Learning, Data Mining, Inference and Prediction. 2nd ed. Stanford, USA: Springer, 2011, 763
|
[36] |
Milligan G, Cooper M. An examination of procedures for determining the number of clusters in a data set. Psychometrika, 1985, 50(2): 159–179
|
[37] |
Santos J, Silveira P. A SHM framework comprising real time data validation. In: Proceedings of IALCCE 2012 - 3rd International Symposium on Life Cycle Civil engineering. 2012, 2
|
[38] |
Santos J, Silveira P, Santos L O, Calado L. Monitoring of road structures—real time acquisition and control of data. In: Proceedings of the 16th IRF World Road Meeting. Lisbon, <month>May</month>, 2010
|
[39] |
Santos J, Orcesi A D, Silveira P, Pina C. Damage Detection under Environmental and Operational Loads on Large Span Bridges. In: V Congresso brasileiro de Pontes e Estruturas - Soluções Inovadores para Projeto. Execuçao e Manutençao, 2012
|
[40] |
Caetano E, Cunha Á, Gattulli V, Lepidi M. Cable–deck dynamic interactions at the international Guadiana Bridge on-site measurements and finite element modelling. Structural Control and Health Monitoring, 2008, 15(3): 237–264
|
[41] |
Massey F J Jr. The Kolmogorov-Smirnov test for goodness of fit. Journal of the American Statistical Association, 1951, 46(253): 68–78
|
[42] |
Jackson J E. A User’s Guide to Principal Components. Wiley-Interscience, 1991, 43(6): 641
|
[43] |
Jackson D. Stopping rules in principal components analysis: A comparison of heuristical and statistical approaches. Ecology, 1993, 74(8): 2204–2214
|
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