Detecting generalized dynamic inter-relationship in a frame experiment with measures of information flow and interdependence

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5768, Issue , 2005, Pages 264-273

  Todd, M D ^a   Nichols, J M ^b   Olson, C ^a   Overbey, L ^a  

^a UNIVERSITY OF CALIFORNIA SAN DIEGO   (United States)

^b NAVAL RESEARCH LABORATORY   (United States)

Author keywords

Chaos; Damage detection; Structural health monitoring

Indexed keywords

CHAOS THEORY; DATA ACQUISITION; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; TIME SERIES ANALYSIS;

DAMAGE DETECTION; DEGREE OF DEGRADATION; STRUCTURAL HEALTH MONITORING; STRUCTURAL SYSTEM IDENTIFICATION;

INFORMATION ANALYSIS;

EID: 25644434760     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.599110     Document Type: Conference Paper

References (42)

1. J. E. Doherty, "Nondestructive evaluation," in Handbook on Experimental Mechanics, A. S. Kobayashi, ed., Society for Experimental Mechanics, ch. 12, Englewood Cliffs, New Jersey, 1987.
2. D. Tuzzeo and F. L. di Scalea, "Non-contact air-coupled ultrasonic guided waves for detection of hidden corrosion in aluminum plates," Journal of Research in Nondestructive Evaluation 13, pp. 61-78, 2002.
3. M. J. Sundaresan, A. Ghoshal, and M. J. Schulz, "A continuous sensor for damage detection in bars," Smart Materials and Structures 11, pp. 475-488, 2002.
4. J. K. C. Shih, R. Delpak, C. W. Hu, P. Plassmann, A. Wawrzynek, and M. Kogut, "Thermogrpahic nondestructive testing damage detection for metals and cementitious materials," Imaging Science Journal 48, pp. 33-43, 2000.
5. N. Takeda, "Characterization of microscopic damage in composite laminates and real-time monitoring by embedded optical fiber sensors," International Journal of Fatigue 24, pp. 281-289, 2002.
6. H. T. Banks, M. L. Joyner, B. Wincheski, and W. P. Winfree, "Real time computational algorithms for eddy-current based damage detection," Inverse Problems 18, pp. 795-823, 2002.
7. A. K. Pandey and M. Biswas, "Damage detection in structures using changes in flexibility," Journal of Sound and Vibration 169, pp. 3-17, 1994.
8. P. Verboven, E. Parloo, P. Guillaume, and M. V. Overmeire, "Autonomous structural health monitoring - part i: Modal parameter estimation and tracking," Mechanical Systems and Signal Processing 16(4), pp. 637-657, 2002.
9. S. W. Doebling, C. R. Farrar, and M. B. Prime, "A summary review of vibration-based identification mehods," Shock and Vibration Digest 205(5), pp. 631-645, 1998.
10. A. C. Okafor, K. Chandrashekhara, and Y. P. Jiang, "Location of impact in composite plates using waveform-based acoustic emission and gaussian cross-correlation techniques," in Proc. SPIE 2718, pp. 291-302, 1996.
11. H. Sohn, C. R. Farrar, N. F. Hunter, and K. Worden, "Structural health monitoring using statistical pattern recognition techniques," Journal of Dynamic Systems, Measurement, and Control 123, pp. 706-711, 2001.
12. J. B. Bodeux and J. C. Golinval, "Modal identification and damage detection using the data-driven stochastic subspace and armav methods," Mechanical Systems and Signal Processing 17(1), pp. 83-89, 2003.
13. C. M. Bishop, "Novelty detection and neural network validation," in IEE Proceedings: Vision, Image, and Spectral Processing, 141, 1994.
14. K. Worden and G. Manson, "Experimental validation of a structural health monitoring methodology: Part i. novelty detection on a laboratory structure," Journal of Sound and Vibration 259(2), pp. 323-343, 2003.
15. D. Logan and J. Mathew, "Using the correlation dimension for vibration fault diagnosis of rolling element bearings - i. basic concepts," Mechanical Systems and Signal Processing 10(3), pp. 241-250, 1996.
16. W. J. Wang, Z. T. WU, and J. Chen, "Fault identification in rotating machinery using the correlation dimension and bispectra," Nonlinear Dynamics 25, pp. 383-393, 2001.
17. Z. Hou, M. Noori, and R. S. Amand, "Wavelet-based approach for structural damage detection," Journal of Engineering Mechanics 126(7), pp. 677-683, 2000.
18. J. S. Owen, B. J. Eccles, B. S. Choo, and M. A. Woodings, "The application of auto-regressive time series modelling for the time-frequency analysis of civil engineering structures," Engineering Structures 23, pp. 521-536, 2001.
19. A. Nag, D. R. Mahapatra, and S. Gopalakrishnan, "Identification of delamination in composite beams using spectral estimation and a genetic algorithm," Smart Materials and Structures 11, pp. 899-908, 2003.
20. D. George, N. Hunter, C. Farrar, and R. Deen, "Identifying damage sensitive features using nonlinear time series and and bispectral analysis," in Proc. of IMAC XVIII: A Conference on Structural Dynamics, pp. 1796-1802, 2000.
21. K. Worden and A. J. Lane, "Damage identification using support vector machines," Journal of Smart Materials and Structures 10, pp. 540-547, 2001.
22. K. Worden, "Structural fault detection using a novelty measure," Journal of Sound and Vibration 201, pp. 85-101, 1997.
23. M. L. Fugate, H. Sohn, and C. R. Farrar, "Vibration based damage detection using statistical process control," Mechanical Systems and Signal Processing 15, pp. 707-721, 2001.
24. I. Trendafilova and H. V. Brussel, "Non-linear dynamics tools for the motion analysis and condition monitoring of robot joints," Mechanical Systems and Signal Processing 15, pp. 1141-1164, 2001.
25. M. D. Todd, J. M. Nichols, and L. N. Virgin, "Vibration-based damage assessment utilizing state space geometry changes: Local attractor variance ratio," Smart Structures and Materials 10(5), pp. 1000-1008, 2001.
26. J. M. Nichols, M. D. Todd, M. E. Seaver, and L. N. Virgin, "Use of chaotic excitation and attractor property analysis in structural health monitoring," Physical Review E 67, p. 016209, 2003.
27. J. M. Nichols, M. D. Todd, and J. R. Wait, "Using state space predictive modeling with chaotic interrogation in detecting joint preload loss in a frame structure experiment," Smart Materials and Structures 12(4), pp. 580-601, 2003.
28. L. Moniz, T. Carroll, L. Pecora, and M. D. Todd, "Assessment of damage in an 8-oscillator circuit using dynamical forcing," Physical Review E 68, p. 036215, 2003.
29. M. D. Todd, K. Erickson, L. Chang, K. Lee, and J. M. Nichols, "Using chaotic interrogation and attractor nonlinear cross-prediction error to detect fastener preload loss in an aluminum frame," Chaos 14, pp. 387-399, 2004.
30. F. Takens, "Detecting strange attractors in turbulence," in Dynamical Systems and Turbulence, D. Rand and L.-S. Young, eds., Lecture Notes in Mathematics 898, pp. 366-81, Springer-Verlag, New York, 1981.
31. T. Sauer, J. A. Yorke, and M. Casdagli, "Embedology," Journal of Statistical Physics 65, p. 579, 1991.
32. T. Sauer, "Time series prediction: Forecasting the future and understanding the past," in SFI Studies in the Sciences of Complexity, A. S. Weigend and N. A. Gershenfeld, eds., 15, Addison-Wesely, (Reading MA), 1993.
33. L. M. Pecora and T. L. Carroll, "Synchronization in chaotic systems," Physical Review Letters 64, p. 821, 1990.
34. S. J. Schiff, P. So, T. Chang, R. E. Burke, and T. Sauer, "Detecting dynamical interdependence and generalized synchrony through mutual prediction in a neural ensemble," Physical Review E 54(6), pp. 6708-6724, 1996.
35. N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarbanel, "Generalized synchronization of chaos in directionally coupled chaotic systems," Physical Review E 51, p. 980, 1995.
36. J. Arnhold, P. Grassberger, K. Lehnertz, and C. E. Elger, "A robust method for detecting interdependences: Application to intracranially recorded eeg," Physica D 134, pp. 419-430, 1999.
37. L. Kocarev and U. Parlitz, "Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems," Physical Review Letters 76, p. 1816, 1996.
38. T. Schreiber, "Measuring information transfer," Physical Review Letters 85, p. 461, 2000.
39. A. Kaiser and T. Schreiber, "Information transfer in continuous processes," Physica D 166, pp. 43-62, 2002.
40. J. Theiler, "Spurious dimension from correlation algorithms applied to limited time-series data," Physical Review A 34, p. 2427, 1986.
41. J. A. Vastano and H. L. Swinney, "Information transport in spatiotemporal systems," Physical Review Letters 60(18), pp. 1773-1776, 1988.
42. M. B. Kennel and A. I. Mees, "Context tree modeling of observed symbolic dynamics," Physical Review E 66, p. 05629, 2002.