Damage identification through generalized correlations between measurements

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 6532, Issue , 2007, Pages

  Overbey, L A ^a   Todd, M D ^a  

^a UNIVERSITY OF CALIFORNIA SAN DIEGO   (United States)

Author keywords

Damage detection; Feature extraction; Generalized correlations; Interdependences; Nonlinear; Prediction error; State space; Structural health monitoring

Indexed keywords

CORRELATION METHODS; ERROR ANALYSIS; FEATURE EXTRACTION; NONLINEAR ANALYSIS; STATE SPACE METHODS; STRUCTURAL HEALTH MONITORING;

DAMAGE IDENTIFICATION; GENERALIZED CORRELATIONS; INTERDEPENDENCES; PREDICTION ERRORS;

DAMAGE DETECTION;

EID: 35648936914     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.715845     Document Type: Conference Paper

References (18)

1. Doebling, S.W., Farrar, C.R. and Prime, M.B., "A Summary Review of Vibration-Based Damage Identification Methods," Shock and Vibration Digest, 205, pp. 631-45, 1998.
2. Sampio, R.P., Maia, N.M.M., and Silva, J.M.M., "Damage detection using the frequency-response-function curvature method", Journal of Sound and Vibration 226, pp. 1029-42, 1999.
3. Sohn, H. and Law, K.H., "Extraction of Ritz vectors and application to structural damage diagnosis", Fifth US National Congress on Computational Mechanics, Boulder, Colorado, 1999.
4. Norris, M.A. and Meirovitch, L., "On the problem of modeling for parameter identification in distributed structures," International Journal for Numerical Methods in Engineering 28, pp. 2451-63, 1989.
5. Hou, Z., Noori, M., and Amand, R.S., "Wavelet-based approach for structural damage detection," Journal of Engineering Mechanics 126, pp. 677-83, 2000.
6. Nichols, J.M., Todd, M.D. and Wait, J.R., "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.
7. Todd, M.D., Erickson, K., Chang, L., Lee, K. and Nichols, J.M., "Using Chaotic Interrogation and Attractor Nonlinear Cross-Prediction Error to Detect Fastener Preload Loss in an Aluminum Frame," Chaos: An Interdisciplinary Journal of Nonlinear Science, 14(2), pp. 387-399, 2004.
8. Overbey, L.A. and Todd, M.D., "Analysis of Local State Space Models for Feature Extraction in Structural Health Monitoring," International Journal of Structural Health Monitoring, pending publication, 2007.
9. Todd, M.D., Nichols, J.M., Olson, C.C., and Overbey, L.A., "Detecting Generalized Dynamic Inter-Relationship in a Frame Experiment with Measures of Information Flow and Interdependence, Proc. SPIE Vol. 578, San Diego, CA, March 2005.
10. Trendafilova, I. and Van Brussel, H., "Non-Linear Dynamics Tools for the Motion Analysis and Condition Monitoring of Robot Joints," Mechanical Systems and Signal Processing, 15(6), pp. 1141-1164(24), 2001.
11. Nichols, J.M., Seaver, M., Trickey, S.T., Todd, M.D., Olson, C.C., and Overbey, L.A., "Detecting Nonlinearity in Structural Systems Using the Transfer Entropy, Physical Review E, 72(4), 2005.
12. Takens, F., "Detecting Strange Attractors in Turbulence," Dynamical Systems and Turbulence: Springer Lecture Notes in Mathematics, 898, eds Rand, D. and Young, L.S., pp. 366-81, Springer, New York, NY, 1981.
13. Fraser, A.M. and Swinney, H.L., "Independent Coordinates for Strange Attractors from Mutual Information," Physical Review, 33, pp. 1134-40, 1986.
14. Kennel, M.B. and Abarbanel, H.D.I., "Determining Embedding Dimension for Phase-Space Reconstruction using a Geometrical Construction," Physical Review A, 45(6), pp. 3403-11, 1992.
15. Schreiber, T., "Detecting and Analysing Nonstationarity in a Time Series with Nonlinear Cross Predictions," Phys. Rev. Lett., 78, pp. 843-846, 1997.
16. Theiler J., "Spurious Dimension from Correlation Algorithms Applied to Limited Time-Series Data," Physical Review A, 34, pp. 2427, 1986.
17. Arnhold, J., Grassberger, P., Lehnertz, K., and Elger, C.E., "A Robust Method for Detecting Interdependences: Application to Intercranially Recorded EEG," Physica D, 134, pp. 419-430, 1999.
18. Broomhead, D.S. and King, G.P., "Extracting qualitative dynamics from experimental data," Physica 20D, pp. 217-236, 1986.