Experimental and numerical investigation of structural damage detection using changes in natural frequencies

Journal of Vibration and Acoustics

Volumn 129, Issue 6, 2007, Pages 686-700

  Xu, G Y ^a   Zhu, W D ^a   Emory, B H ^a  

^a Baltimore County   (United States)

Author keywords

Cantilever beams; Enrichment of measurement information; Generalized inverse method; Ill conditioned system equations; Iterative algorithm; Natural frequency changes; Perturbation method; Structural damage detection; Underdetermined system equations

Indexed keywords

ALGORITHMS; DAMAGE DETECTION; ITERATIVE METHODS; NATURAL FREQUENCIES; PERTURBATION TECHNIQUES;

GENERALIZED INVERSE METHOD; ILL-CONDITIONED SYSTEM EQUATIONS; ITERATIVE ALGORITHM; STRUCTURAL DAMAGE DETECTION;

CANTILEVER BEAMS;

EID: 36749028813     PISSN: 10489002     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2731409     Document Type: Article

References (53)

1. Bray, D. E., and Stanley, R. K., 1997, Nondestructive Evaluation: A Tool in Design, Manufacturing, and Service, rev. ed., CRC Press, Boca Raton.
2. Farrar, C. R., and Sohn, H., 2001, "Condition/Damage Monitoring Methodologies," Invited Talk, LA-UR-01-6573. The Consortium of Organizations for Strong Motion Observation Systems (COSMOS) Workshop, Emeryville, CA.
3. Doebling, S. W., Farrar, C. R., and Prime, M. B., 1998, "A Summary Review of Vibration-Based Damage Identification Methods," Shock Vib. Dig., 30(2), pp. 91-105.
4. Hellier, C., 2001, Handbook of Nondestructive Evaluation, McGraw-Hill, New York.
5. Thomas, G. H., 1995. "Overview of Nondestructive Evaluation Technologies," Proc. SPIE, 2455, pp. 5-9.
6. Shull, P. J., 2002, Nondestructive Evaluation: Theory, Techniques, and Applications, Marcel Dekker, New York.
7. Rose, J. L., 1995, "Recent Advances in Guided Wave NDE," Proc. of the Institute of Electrical and Electronics Engineers, Ultrasonics Symposium, Seattle, IEEE, New York, Vol. 1, pp. 761-770.
8. Rose, J. L., Jiao, D., and Spanner, J., Jr., 1996, "Ultrasonic Guided Wave NDE for Piping," Mater. Eval., 54(11), pp. 1310-1313.
9. Chinn, D. J., Quarry, M. J., and Rose, J. L., April 11, 2005, "Final Report: Guided Acoustic Wave Monitoring of Corrosion in Recovery Boiler Tubing," Department of Energy, Lawrence Livermore National Laboratory, Report No. UCRL-TR-211263.
10. Bartoli, I., Lanza di Scalea, F., Fateh, M., and Viola, E., 2005, "Modeling Guided Wave Propagation With Applications to the Long-Range Defect Detection in Railroad Tracks," NDT & E Int., 38(5), pp. 325-334.
11. Doebling, S. W., Farrar, C. R., Prime, M. B., and Shevitz, D. W., 1996, "Damage Identification and Health Monitoring of Structural and Mechanical Systems from Changes in Their Vibration Characteristics: A Literature Review," Los Alamos National Laboratory, LA-13070-MS.
12. Friswell, M. I., and Mottershead, J. E., 1995, Finite Element Model Updating in Structural Dynamics, Kluwer, Dordrecht.
13. Ewins, D. J., 2000, Modal Testing: Theory, Practice and Applications, 2nd ed., Research Studies Press, Baldock, Hertfordshire, UK.
14. Kabe, A. M., 1985, "Stifness Matrix Adjustment Using Mode Data," AIAA J., 23(9), pp. 1431-1436.
15. Brock, J. E., 1968, "Optimal Matrices Describing Linear Systems," AIAA J., 6(7), pp. 1292-1296.
16. Berman, A., and Flannelly, W. G., 1971, "Theory of Incomplete Models of Dynamic Structures," AIAA J., 9(8), pp. 1481-1487.
17. Baruch, M., and Bar Itzhark, I. Y., 1978, "Optimal Weighted Orthogonalization of Measured Modes," AIAA J., 16(4), pp. 346-351.
18. Zimmerman, D. C., and Kaouk, M., 1994, "Structural Damage Detection Using a Minimum Rank Update Theory," ASME J. Vibr. Acoust., 116(2), pp. 222-231.
19. Inman, D. J., and Minas, C., 1990, "Matching Analytical Models With Experimental Modal Data in Mechanical Systems," Control and Dynamics of Systems: Advances in Industrial Systems, C. T. Leondes, ed., Academic Press, New York, Vol. 37, pp. 327-363.
20. Zimmerman, D. C., and Widengren, M., 1990, "Correcting Finite Element Models Using a Symmetric Eigenstructure Assignment Technique," AIAA J., 28(9), pp. 1670-1676.
21. Wong, C. N., Zhu, W. D., and Xu, G. Y., 2004, "On an Iterative General-Order Perturbation Method for Multiple Structral Damage Detection," J. Sound Vib., 273(1-2), pp. 363-386.
22. Wu, D., and Law, S. S., 2005, "Sensitivity of Uniform Load Surface Curvature for Damage Identification in Plate Structures," ASME J. Vibr. Acoust., 127(1), pp. 84-92.
23. Salawu, O. S., 1997, "Detection of Structural Damage through Changes in Frequency: A Review," Eng. Struct., 19(9), pp. 718-723.
24. Dímarogonas, A. D., 1996, "Vibration of Cracked Structures: A State of the Art Review," Eng. Fract. Mech., 55(5), pp. 831-857.
25. Adams, R. D., Cawley, P., Pye, C. J., and Stone, B. J., 1978, "A Vibration Technique for Non-destructively Assessing the Integrity of Structures," J. Mech. Eng. Sci., 20(2), pp. 93-100.
26. Capecchi, D., and Vestroni, F., 1999, "Monitoring of Structural Systems by Using Frequency Data," Earthquake Eng. Struct. Dyn., 28(5), pp. 447-461.
27. Cawley, P., and Adams, R. D., 1979, "The Location of Defects in Structures From Measurements of Natural Frequencies," J. Sound Vib., 14(2), pp. 49-57.
28. Morassi, A., 2001, "Identification of a Crack in a Rod Based on Clianges in a Pair of Natural Frequencies," J. Sound Vib., 242(4), pp. 577-596.
29. Patil, D. P., and Maiti, S. K., 2005, "Experimental Verification of a Method of Detection of Multiple Cracks in Beams Based on Frequency Measurements," J. Sound Vib., 281(1-2), pp. 439-451.
30. Liang, R. Y., Hu, I., and Choy, F., 1992, "Quantitative NDE Technique for Assessing Damages in Beam Structures," J. Eng. Mech., 118(7), pp. 1468-1487.
31. Morassi, A., and Rollo, M., 2001, "Identification of Two Cracks in a Simply Supported Beam From Minimal Frequency Measurements," J. Vib. Control, 7(5), pp. 729-739.
32. Hu, J., and Liang, R. Y., 1993, "An Integrated Approach to Detection of Cracks Using Vibration Characteristics," J. Franklin Inst., 330(5), pp. 841-853.
33. Ruotolo, R., and Surace, C., 1997, "Damage Assessment of Multiple Cracked Beams: Numerical Results and Experimental Validation," J. Sound Vib., 206(4), pp. 567-588.
34. Ostachowicz, W. M., and Krawczuk, M., 1991, "Analysis of the Effect of Cracks on the Natural Frequencies of a Cantilever Beam," J. Sound Vib., 150(2), pp. 191-201.
35. Shifrin, E. I., and Ruotolo, R., 1999, "Natural Frequencies of a Beam With an Arbitrary Number of Cracks," J. Sound Vib., 222(3), pp. 409-423.
36. Lew, J. S., 1995, "Using Transfer Function Parameter Changes for Damage Detection of Structures," AIAA J., 33(11), pp. 2189-2193.
37. 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.
38. Vestroni, F., and Capecchi, D., 2000, "Damage Detection in Beam Structures Based on Frequency Measurements," J. Eng. Mech., 126(7), pp. 761-768.
39. Kim, J. T., Ryu, Y. S., Cho, H. M., and Stubbs, N., 2003, "Damage Identification in Beam-Type Structures: Frequency-Based Method vs. Mode-Shape-Based Method," Eng. Struct., 25(1), pp, 57-67.
40. Vestroni, F., and Capecchi, D., 1996, "Damage Evaluation in Cracked Vibrating Beams Using Experimental Frequencies and Finite Element Models," J. Vib. Control, 2(1), pp. 69-86.
41. Davini, C., Gatti, F., and Morassi, A., 1993, "A Damage Analysis of Steel Beams," Meccanica, 28(1), pp. 27-37.
42. Stubbs, N., and Osegueda, R., 1990, "Global Non-destructive Damage Evaluation in Solids," Int. J. Anal. Exp. Modal Anal., 5(2), pp. 67-79.
43. Stubbs, N., and Osegueda, R., 1990, "Global Damage Detection in Solids - Experimental Verification," Int. J. Anal. Exp. Modal Anal., 5(2), pp. 81-97.
44. Chapelle, D., "OpenFEM: An Open-Source Finite Element Toolbox," INRIA 19 July 2002: 16 September 2006, (http://www-rocq.inria.ft/OpenFEM/Old/index.html)
45. Petyt, M., 1990, Introduction to Finite Element Vibration Analysis, Cambridge University Press, Cambridge, England.
46. Timoshenko, S. P., 1921, "On the Correction for Shear of the Differential Equation for Transverse Vibrations of Prismatic Bars," Philos. Mag., 41, pp. 744-746.
47. Wolf, F. P., and Ueberreiter, K., 1971, "Untersuchung des viskoelastischen Verhaltens von Polymethylinethacrylat mit Hilfe von Biegeschwingungen," Kolloid Z. Z. Polym., 245(1), pp. 399-408.
48. Pickett, G., 1945, "Equations for Computing Elastic Constants from Flexural and Torsional Resonant Frequencies of Vibration of Prisms and Cylinders," ASTM Proceedings, ASTM, Philadelphia, Vol. 45, pp. 846-865.
49. Tefft, W. E., 1960, "Numerical Solution of the Frequency Equations for the Flexural Vibration of Cylindrical Rods," J. Res. Natl. Bur. Stand., 64B, pp. 237-242.
50. Spence, G. B., and Seldin, E. J., 1970, "Sonic Resonances of a Bar and Compound Torsion Oscillator," L. Appl. Phys., 41(8), pp. 3383-3389.
51. Heybey, O., and Karasz, F. E., 1976, "Experimental Study of Flexural Vibrations in Thick Beams," J. Appl. Phys., 47(7), pp. 3252-3260.
52. Kaneko, T., 1978, "An Experimental Study of the Timoshenko's Shear Coefficient for Flexurally Vibrating Beams," J. Phys. D, 11(14), pp. 1979-1988.
53. Stephen, N. G., 1981, "Considerations on Second Order Beam Theories," Int. J. Solids Struct., 17(3), pp. 325-333.