Use of fiber-optic strain sensors and holder exponents for detecting and localizing damage in an experimental plate structure

Journal of Intelligent Material Systems and Structures

Volumn 18, Issue 1, 2007, Pages 51-67

  Nichols, J M ^a   Trickey, S T ^a   Seaver, M ^a   Moniz, L ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

Author keywords

Fiber Bragg gratings; Holder exponents; Structural health monitoring

Indexed keywords

DYNAMICS; FIBER BRAGG GRATINGS; HEALTH CARE; STATISTICAL METHODS; TIME SERIES ANALYSIS;

FIBER OPTIC STRAIN SENSORS; HEALTH MONITORING; PLATE STRUCTURE; STRUCTURAL RESPONSE;

FIBER OPTICS;

EID: 33845798397     PISSN: 1045389X     EISSN: 15308138     Source Type: Journal    
DOI: 10.1177/1045389X06064354     Document Type: Article

References (52)

1. Abarbanel, H.D.I., Carroll, T.A., Pecora, L.M., Sidorowich, J.J. and Tsimring, L.S. 1994. "Predicting Physical Variables in Time-delay Embedding," Physical Review E, 49 (3). 1840 - 1853.
2. Adams, D.E. and Nataraju, M. 2002. "An Nonlinear Dynamical Systems Framework for Structural Diagnosis and Prognosis," International Journal of Engineering Science, 40: 1919 - 1941.
3. Afraimovich, V., Chazottes, J.-R. and Cordonet, A. 2001. "Synchronization in Directionally Coupled Systems: Some Rigorous Results," Discrete and Continuous Dynamical Systems-Series B, 1 (4). 421 - 442.
4. Bentley, J.L. 1979. "Multidimensional Binary Search Trees in Database Applications," IEEE Transactions on Software Engineering, SE 5 (4). 333 - 340.
5. Boccaletti, S., Valladares, D.L., Pecora, L.M., Geffert, H.P. and Carroll, T.L. 2002. "Reconstructing Embedding Spaces of Coupled Dynamical Systems from Multivariate Data," Phyisical Review E, 65-65.
6. Bodeux, J.B. and Golinval, J.C. 2003. "Modal Identification and Damage Detection using the Data-driven Stochastic Subspace and Armav Methods," Mechanical Systems and Signal Processing, 17 (1). 83 - 89.
7. Brown, R.L. and Adams, D.E. 2003. "Equilibrium Point Damage Prognosis Models for Structural Health Monitoring," Journal of Sound and Vibration, 262: 591 - 611.
8. Bukkapatnam, S.T.S., Kumara, S.R.T. and Lakhtakia, A. 2000. "Fractal Estimation of Flank Wear in Turning," Journal of Dynamic Systems Measurement and Control-transactions of the ASME, 122 (1). 89 - 94.
9. Chelidze, D., Cusumano, J.P. and Chatterjee, A. 2002. "A Dynamical Systems Approach to Damage Evolution Tracking, Part I: Description and Experimental Application," Journal of Vibration and Acoustics-Transactions of the ASME, 124 (2). 250 - 257.
10. Chinmaya, K. and Mohanty, A.R. 2004. "Application of KS Test in Ball Bearing Fault Diagnosis," Journal of Sound and Vibration, 269: 439 - 454.
11. Davies, M.E. and Campbell, K.M. 1996. "Linear Recursive Filters and Nonlinear Dynamics," Nonlinearity, 9: 487 - 499.
12. Doebling, S.W., Farrar, C.R. and Prime, M.B. 1998. "A Summary Review of Vibration-based Damage Identification Methods," Shock and Vibration Digest, 205 (5). 631 - 645.
13. Epureanu, B. and Yin, S. 2004. "Attractor-based Damage Detection in a Plate Subjected to Supersonic Flows," In: Proceedings of the SPIE.
14. Fassois, S.D. 2001. "Mimo LMS-Armax Identification of Vibrating Structures-Part I: The Method," Mechanical Systems and Signal Processing, 15 (4). 723 - 735.
15. Finn, J.M., Goettee, J.D., Toroczkai, Z., Anghel, M. and Wood, B.P., 2003. "Estimation of Entropies and Dimensions by Nonlinear Symbolic Time Series Analysis," Chaos, 13 (2). 444 - 456.
16. Fukunaga, H., Hu, N. and Chang, F.-K. 2002. "Structural Damage Identification using Piezoelectric Sensors," International Journal of Solids and Structures, 39: 393 - 418.
17. Gao, J.B., Cao, Y., Gu, L., Harris, J.G. and Principe, J.C. 2003. "Detection of Weak Transitions in Signal Dynamics using Recurrence Time Statistics," Physics Letters A, 317: 64 - 72.
18. Grassberger, P. 1990. "An Optimized Box-assisted Algorithm for Fractal Dimensions," Physics Letters A, 148: 63 - 68.
19. Hadjiloucas, D., Nicol, M. and Walkden, C. 2002. "Regularity of Invariant Graphs over Hyperbolic Systems," Ergodic Theory and Dynamical Systems, 22: 469 - 482.
20. Hall, L.D. and Mba, D. 2004. "Acoustic Emissions Diagnosis of Rotor-stator Rubs using the KS Statistic," Mechanical Systems and Signal Processing, 18 (4). 849 - 868.
21. Hjaltason, G.R. and Samet, H. 1995. "Ranking in Spatial Databases," In: Egenhofer and Herring (eds), Proceedings of the 4th Symposium on Spatial Databases, Portland, Maine, Aug. 1995, Lecture Notes in Computer Science 951, Springer-Verlag.
22. Hunt, B.R., Ott, E. and Yorke, J.A. 1997. "Differentiable Generalized Synchronization of Chaos," Physical Review E, 55 (4). 4029 - 4034.
23. Inman, D.J., Ahmadian, M. and Claus, R.O. 2001. "Simultaneous Active Damping and Health Monitoring of Aircraft Panels," Journal of Intelligent Material Systems and Structures, 12 (11). 775 - 783.
24. Juang, J.-N. and Pappa, R.S. 1985. "An Eigensystem Realization Algorithm for Modal Parameter Identification and Model Reduction," Journal of Guidance and Control, 8 (5). 620 - 627.
25. Kantz, H. and Schreiber, T. 1997, Nonlinear Time Series Analysis, Cambridge University Press.
26. Kantz, H., Schreiber, T., Hoffman, I., Buzug, T., Pfister, G., Flepp, L.G., Simonet, J., Badii, R. and Brun, E. 1993. "Nonlinear Noise Reduction: A Case Study on Experimental Data," Physical Review E, 48 (2). 1529 - 1538.
27. Kennel, M.B., Brown, R. and Abarbanel, H.D.I. 1992. "Determining Embedding Dimension for Phase-space Reconstruction using a Geometrical Construction," Physical Review A, 45 (6). 3403 - 3411.
28. Leng, J. and Asundi, A. 2003. "Structural Health Monitoring of Smart Composite Materials by using EFPI and FPG Sensors," Sensors and Actuators A, 103: 330 - 340.
29. Marwan, N., Wessel, N., Schirdewan, A. and Kurths, J. 2002. "Recurrence-plot-based Measures of Complexity and their Application to Heart-rate-variability Data," Physical Review E, 66:Art. No. 026702.
30. Moniz, L.M., Pecora, L.M., Carroll, T.L., Todd, M.D., Trickey, S. and Nichols, J.M. 2002. "Vibration-based Damage Assessment using Novel Function Statistics with Multiple time Series," In: Boccaletti, S., Carroll, T., Gluckman, B., Kocarev, L., In, V. and Kurths, J. (eds), Proceedings of the 7th Experimental Chaos Conference, American Institute of Physics.
31. Moniz, L.M., Pecora, L.M., Nichols, J.M., Todd, M.D. and Wait, J.R. 2004. "Dynamical Assessment of Structural Damage using the Continuity Statistic," International Journal of Structural Health Monitoring, 3 (3). 199 - 212.
32. Nichols, J.M. 2003. "Structural Health Monitoring of Offshore Structures using Ambient Excitation," Applied Ocean Research, 25 (3). 101 - 114.
33. Nichols, J.M. and Virgin, L.N. 2001. "Practical Evaluation of Invariant Measures for the Chaotic Response of a Two-frequency Excited Mechanical Oscillator," Nonlinear Dynamics, 26: 67 - 86.
34. Nichols, J.M., Todd, M.D., Seaver, M., Trickey, S.T., Pecora, L.M. and Moniz, L. 2003a. "Controlling System Dimension: A Class of Real Systems that Obey the Kaplan-Yorke Conjecture," Proceedings of the National Academy of Sciences-U.S.A., 100(26): 15299 - 15303.
35. Nichols, J.M., Todd, M.D., Seaver, M.E. and Virgin, L.N., 2003b. "Use of Chaotic Excitation and Attractor Property Analysis in Structural Health Monitoring," Physical Review E, 67: 016209-016209.
36. Okafor, A.C. and Dutta, A. 2000. "Structural Damage Detection in Beams by Wavelet Transforms," Smart Materials and Structures, 9 (6). 906 - 917.
37. Owen, J., Eccles, B.J., Choo, B.S. and Woodings, M.A. 2001. "The Application of Auto-regressive Time Series Modelling for Time-frequency Analysis of Civil Engineering Structures," Engineering Structures, 23: 521 - 536.
38. Press, W.H., Teukolsky, S.A., Vetterling, W.T. and Flannery, B.P. 1992. Numerical Recipes in C: The Art of Scientific Computing, 2nd edn, Cambridge University Press.
39. Robertson, A.N., Farrar, C.R. and Sohn, H. 2003. "Singularity Detection for Structural Health Monitoring using Holder Exponents," Mechanical Systems and Signal Processing, 17 (6). 1163 - 1184.
40. Sauer, T., Yorke, J.A. and Casdagli, M. 1991. "Embedology," Journal of Statistical Physics, 65 (3/4). 579 - 617.
41. Sohn, H., Farrar, C.R., Hemez, F.M., Czarnecki, J.J., Shunk, D.D., Stinemates, D.W. and Nadler, B.R. 2004. "A Review of Structural Health Monitoring Literature: 1996-2001," Technical Report LA-13976-MS, Los Alamos National Laboratory.
42. Takens, F. 1981. "Detecting Strange Attractors in Turbulence," In: Rand, D. and Young, L.-S. (eds), Dynamical Systems and Turbulence, Volume 898 of Lecture Notes in Mathematics, Springer-Verlag, New York, pp. 366 - 381.
43. Todd, M.D., Johnson, G.A. and Althouse, B.L. 2001a. "A Novel Bragg Grating Sensor Interrogation System Utilizing a Scanning Filter, a Mach-Zehnder Interferometer, and a 3 X 3 Coupler," Measurement Science and Technology, 12: 771 - 777.
44. Todd, M.D., Nichols, J.M. and Virgin, L.N. 2001b. "Vibration-based Damage Assessment Utilizing State Space Geometry Changes: Local Attractor Variance Ratio," Smart Materials and Structures, 10 (5). 1000 - 1008.
45. Todd, M.D., Seaver, M. and Bucholtz, F. 2003. "Improved, Operationally-passive Interferometric Demodulation Method using 3 3 Coupler," Electronics Letters, 38 (15). 784 - 786.
46. Todd, M.D., Nichols, J.M., Trickey, S.T., Seaver, M., Nichols, C.J. and Virgin, L.N. 2004. "Bragg-grating Fibre Optic Sensors in Structural Health Monitoring," Philosophical Transactions of the Royal Society of London A (in press).
47. Trendafilova, I. 2003. "A State Space Based Approach to Health Monitoring of Vibrating Structures," In: Cartmell, M.P. (ed), Modern Practice in Stress and Vibration Analysis, Volume 440-4 of Material Science Forum, Trans Tech Publications Ltd, Brandrain 6, Ch-8707 Zurich-Uetikon, Switzerland.
48. Trickey, S.T., Seaver, M. and Nichols, J.M. 2004. "Health Monitoring of an Aero-elastic System with a Freeplay Nonlinearity," In: Proceedings of the SPIE 5394-5394.
49. Webber-Jr., C.L. and Zbilut, J.P. 1994. "Dynamical Assessment of Physiological Systems and States using Recurrence Plot Strategies," Journal of Applied Physiology, 76: 965 - 973.
50. Williams, G.P. 1997. Chaos Theory Tamed, Joseph Henry Press, Washington, D.C.
51. Worden, K. and Manson, G. 2003. "Experimental Validation of a Structural Health Monitoring Methodology: Part I. Novelty Detection on a Laboratory Structure," Journal of Sound and Vibration, 259 (2). 323 - 343.
52. Zbilut, J.P., Thomasson, N. and Webber, C.L. 2002. "Recurrence Quantification Analysis as a Tool for Nonlinear Exploration of Nonstationary Cardiac Signals," Medical Engineering and Physics, 24 (1). 53 - 60.