Improving excitations for active sensing in structural health monitoring via evolutionary algorithms

Journal of Vibration and Acoustics

Volumn 129, Issue 6, 2007, Pages 784-802

  Olson, Colin C ^a   Todd, M D ^a   Worden, Keith ^b   Farrar, Charles ^c  

^a UNIVERSITY OF CALIFORNIA SAN DIEGO   (United States)

^b UNIVERSITY OF SHEFFIELD   (United Kingdom)

^c LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Attractor analysis; Damage identification; Differential evolution; Evolutionary algorithms; Excitation optimization; Nonlinear dynamics; Prediction error; Structural health monitoring

Indexed keywords

DAMAGE DETECTION; DYNAMICS; EVOLUTIONARY ALGORITHMS; FEATURE EXTRACTION; MATHEMATICAL MODELS; OPTIMIZATION; ORDINARY DIFFERENTIAL EQUATIONS;

DAMAGE IDENTIFICATION; DIFFERENTIAL EVOLUTION; EXCITATION OPTIMIZATION; STRUCTURAL RESPONSE;

STRUCTURAL HEALTH MONITORING;

EID: 36749003250     PISSN: 10489002     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2748478     Document Type: Article

References (36)

1. Hunt, D. L., Weiss, S. P., West, W. M., Dunlap, T. A., and Freesmeyer, S. R., 1990, "Development and Implementation of a Shuttle Modal Inspection System," Sound Vib., 24(9), pp. 34-42.
2. Sohn, H., and Farrar, C. R., 2001, "Damage Diagnosis Using Time Series Analysis of Vibration Signals," Smart Mater. Struct., 10(3), pp. 446-451.
3. Sohn, H., Farrar, C. R., Hunter, N. F., and Worden, K., 2001, "Structural Health Monitoring Using Statistical Pattern Recognition," J. Dyn. Syst., Meas., Control, 123, pp. 706-711.
4. Hou, Z., Noori, M., and Amand, R. S., 2000, "Wavelet-Based Approach for Structural Damage Detection," J. Eng. Mech., 126, pp. 677-683.
5. Doebling, S. W., Farrar, C. R., and Prime, M. B., 1998, "A Summary Review of Vibration-Based Damage Identification Methods," Shock Mb. Dig., 205, pp. 631-645.
6. 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 No. LA-13976-MS, Los Alamos National Laboratory, Los Alamos, NM.
7. Takens, F., 1981, "Detecting Strange Attractors in Turbulence," Dynamical Systems and Turbulence (Springer Lecture Notes in Mathematics) D. Rand and L. S. Young, eds., Springer, New York, Vol. 898, pp. 366-381.
8. Whitney, H., 1936, "Differential Manifolds," Ann. Math., 37, p. 645.
9. Sauer, T., and Yorke, J. A., 1993, "How Many Delay Coordinates Do You Need?," Int. J. Bifurcation Chaos Appl. Sci. Eng., 3(3), pp. 737-744.
10. Grassberger, P., and Procaccia, I., 1983, "Characterization of Strange Attractors," Phys. Rev. Lett., 50(5), pp. 346-349.
11. Wolf, A., Swift, J. B., Swinney, H. L., and Vastano, J. A., 1985, "Determining Lyapunov Exponents from a Time Series," Physica D, 16, pp. 285-317.
12. Wang, W. J., Wu, Z. T., and Chen, J., 2000, "Fault Identification in Rotating Machinery Using the Correlation Dimension and Bispectra," Nonlinear Dyn., 25, pp. 383-393.
13. Trendafilova, I., and Van Brussel, H., 2001, "Non-Linear Dynamics Tools for the Motion Analysis and Condition Monitoring of Robot Joints," Mech. Syst. Signal Process., 15(6), pp. 1141-1164.
14. Chelidze, D., and Cusumano, J. P., 2006, "Phase Space Warping: Nonlinear Time-Series Analysis for Slowly Drifting Systems," Philos. Trans. R. Soc. London, Ser. A, 364, pp. 2495-2513.
15. Moniz, L., Pecora, L., Nichols, I., Todd, M. D., and Wait, J. R., 2004, "Dynamical Assessment of Structural Damage Using the Continuity Statistic," Struct. Health Monit., 3(3), pp. 199-212.
16. Nichols, J. M., Nichols, C. J., Todd, M. D., Seaver, M., Trickey, S. T., and Virgin, L. N., 2004, "Use of Data Driven Phase Space Models in Assessing the Strength of a Bolted Connection in a Composite Beam," Smart Mater. Struct., 13(2), pp. 241-250.
17. Todd, M. D., Nichols, J. M., Pecora, L. M., and Virgin, L. N., 2001, "Vibration-Based Damage Assessment Utilizing State Space Geometry Changes: Local Attractor Variance Ratio," Smart Mater. Struct., 10(5), pp. 1000-1008.
18. Nichols, J. M., Todd, M. D., and Wait, J. R., 2003, "Using State Spare Predictive Modeling with Chaotic Interrogation in Detecting Joint Preload Loss in a Frame Structure Experiment," Smart Mater. Struct., 12(4), pp. 580-601.
19. Todd, M. D., Erickson, K., Chang, L., Lee, K., and Nichols, J. M., 2004, "Using Chaotic Interrogation and Attractor Nonlinear Cross-Prediction Error to Detect Fastener Preload Loss in an Aluminum Frame," Chaos, 14(2), pp. 387-399.
20. Olson, C. C., Overbey, L. A., and Todd, M. D., 2005, "A Comparison of State-Space Attractor Features in Structural Health Monitoring," Proceedings of the 23rd International Modal Analysis Conference (IMAC XXIII), Orlando, FL, Jan. 31-Feb. 3.
21. Solbeck, J. A., and Ray, L. R., 2006, "Damage Identification Using Sensitivity-Enhancing Control and Identified Models," ASME J. Vibr. Acoust., 128(2), pp. 210-220.
22. Ray, L. R., and Marini, S., 2000, "Optimization of Control Laws for Damage Detection in Smart Structures," Proceedings SPIE Smart Structures and Materials Conference, March 6, Newport Beach, CA, V. V. Varadan, ed., SPIE, Bellingham, WA, 3984, pp. 395-402.
23. Mitchell, M., 1996, An Introduction to Genetic Algorithms, MIT Press, Cambridge, MA, Chap. 5.
24. Storn, R., and Price, R., 1997, "Differential Evolution - A Simple and Efficient Heuristic for Global Optimization Over Continuous Spaces," J. Global Optim., 11(4), pp. 341-359.
25. Broomhead, D. S., and King, G. P., 1986, "Extracting Qualitative Dynamics from Experimental Data," Physica D, 20, pp. 217-236.
26. Mees, A. I., Rapp, P. E., and Jennings, L. S., 1987, "Singular Value Decomposition and Embedding Dimension," Phys. Rev. A, 36(1), pp. 340-346.
27. Fraser, A. M., and Swinney, H. L., 1986, "Independent Coordinates for Strange Attractors from Mutual Information," Phys. Rev. A, 33(2), pp. 1134-1140.
28. Kennel, M. B., and Abarbanel, H. D. I., 1992, "Determining Embedding Dimension for Phase-Space Reconstruction Using a Geometrical Construction," Phys. Rev. A, 45(6), pp. 3403-3411.
29. Schreiber, T., 1997, "Detecting and Analyzing Nonstationarity in a Time Series Using Nonlinear Cross Predictions," Phys. Rev. Lett., 78(5), pp. 843-846.
30. Theiler, J., 1986, "Spurious Dimension from Correlation Algorithms Applied to Limited Time-Series Data," Phys. Rev. A, 34(3), pp. 2427-2432.
31. Pecora, L. M., and Carroll, T. L., 1996, "Discontinuous and Nondifferentiable Functions and Dimension Increase Reduced by Filtering Chaotic Data," Chaos, 6, 432-439.
32. Sprott, J. C., 1994, "Some Simple Chaotic Flows," Phys. Rev. E, 50(2), pp. R647-R650.
33. Rossler, O. E., 1976, "An Equation for Continuous Chaos," Phys. Lett. A, 57(5), pp. 397-398.
34. Lorenz, E. N., 1963, "Deterministic Nonperiodic Flow," J. Atmos. Sci., 20, pp. 130-141.
35. Worden, K., Manson, G., Sohn, H., and Farrar, C. R., 2005, "Extreme Value Statistics from Differential Evolution for Damage Detection," Proceedings of the 23rd International Modal Analysis Conference (IMAC XXIII), Orlando, FL, Jan. 31-Feb. 3.
36. Theiler, J., Eubank, S., Longtin, A., Galdrikian, B., and Farmer, J. D., 1992, "Testing for Nonlinearity in Time Series: The Method of Surrogate Data," Physica D, 58, pp. 77-94.