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TECHNICAL PAPERS

Vibration-Based Damage Identification in Structures Exhibiting Axial and Torsional Response

[+] Author and Article Information
T. A. Duffey, S. W. Doebling, C. R. Farrar, W. E. Baker, W. H. Rhee

Engineering Analysis Group, Engineering Sciences & Applications Division, Los Alamos National Laboratory, Los Alamos, NM 87545

J. Vib. Acoust 123(1), 84-91 (Apr 01, 2000) (8 pages) doi:10.1115/1.1320445 History: Received February 01, 2000; Revised April 01, 2000
Copyright © 2001 by ASME
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References

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 Report LA-13070-MS.
Doebling,  S. W., Farrar,  C. R., and Prime,  M. B., 1998, “A Summary Review of Vibration-Based Damage Identification Methods,” Shock Vibr. Dig., 30, pp. 91–105.
Stubbs, N., Kim, J.-T., and Topole, K., 1992, “An Efficient and Robust Algorithm for Damage Localization in Offshore Platforms,” Proceedings of the ASCE Tenth Structures Congress, pp. 543–546.
Farrar, C. R., and Jauregui, D. V., 1996, “Damage Detection Algorithms Applied to Experimental and Numerical Modal Data from the I-40 Bridge,” Los Alamos National Laboratory Report LA-13074-MS.
Pandey,  A. K., and Biswas,  M., 1994, “Damage Detection in Structures Using Changes in Flexibility,” J. Sound Vib., 169, No. 1, pp. 3–17.
Hemez, F. M., and Doebling, S. W., 1999, “Test-Analysis Correlation and Finite Element Model Updating for Nonlinear, Transient Dynamics,” Proc. of the 17th International Modal Analysis Conference, Kissimmee, FL, Feb. 1999, pp. 1501–1510.
Feng,  Y. T., and Owen,  D. R. J., 1996, “Conjugate Gradient Methods for Solving the Smallest Eigenpair of Large Symmetric Eigenvalue Problems,” Int. J. Numer. Methods Eng., 39, pp. 2209–2229.
Blevins, R. D., 1984, Formulas for Natural Frequency and Mode Shape, Krieger Publishing Company.
Doebling, S. W., Farrar, C. R., and Goodman, R. S., 1997, “Effects of Measurement Statistics on the Detection of Damage in the Alamosa Canyon Bridge,” Proc. of the 15th International Modal Analysis Conference, Orlando, FL, pp. 919-929.
Thomson, W. T., 1981, Theory of Vibration with Applications, Prentice Hall, NJ.
Richardson, M. H., and Formenti, D. L., 1982, “Parameter Estimation from Frequency Response Measurements using Rational Fraction Polynomials,” Proceedings of the 1st International Modal Analysis Conference, Orlando, FL (Bethel, Conn., USA: Society for Experimental Mechanics.), pp. 167–181.
Cornwell,  P. J., Doebling,  S. W., and Farrar,  C. R., 1999, “Application of the Strain Energy Damage Detection Method to Plate-Like Structures,” J. Sound Vib., 224, No. 2, 359–374.
Duffey, T. A., Farrar, C. R., and Doebling, S. W., 1998, “Damage Detection for Applications Undergoing Axial (Membrane) Response,” Proceedings of the 16th International Modal Analysis Conference, pp. 1278–1284.
Duffey, T. A., Baker, W. E., Farrar, C. R., and Rhee, W. H., 1999, “Detection of Damage in Axial (Membrane) Systems,” Proceedings Of the 17th International Modal Analysis Conference, pp. 876–881.

Figures

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Schematic of analytical 8DOF system
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Change in modal frequency with 10 percent damage
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Change in first mode shape with 10 percent damage
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Change in eighth mode shape with 10 percent damage
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Damage index results for simulated 8DOF system −10 percent Damage in element 3
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Change in flexibility for 10 percent damage in: (top) element 1; (middle) element 2; (bottom) element 3
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Change in flexibility for simultaneous damage at elements 3 and 6
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Influence of number of modes on detection of damage in element 4
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Schematic of experimental 8DOF system
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Experimental 8DOF system with excitation shaker attached
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Damage index results for experimental 8DOF system −24 percent damage in element 1
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Damage index results for experimental 8DOF system −24 percent damage in element 5
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Damage index results for experimental 8DOF system −24 percent damage in element 7
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Damage index results for experimental 8DOF system −7 percent damage in element 1
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Flexibility change results for experimental 8DOF system–7 percent damage in element 1
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Flexibility change results for experimental 8DOF system–7 percent damage in element 5

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