A method is derived to detect and localize linear damage in a structure using the measured modal vibration parameters. This method is applicable when the vibration strain energy is stored in the axial or torsional modes, which differentiates it from previously derived strain-energy-based methods. The new method is compared to the previously derived flexibility-change method for comparison. Both methods are verified by application to an analytical eight degree of freedom model. Experimental validation for both methods is also presented by application to an experimental eight degree of freedom spring-mass structure.

Issue Section:
Technical Papers
Keywords:
vibrations, nondestructive testing
Topics:
Damage, Vibration
1.
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.
2.
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
.
3.
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.
4.
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.
5.
Pandey
,
A. K.
, and
Biswas
,
M.
,
1994
, “
Damage Detection in Structures Using Changes in Flexibility
,”
J. Sound Vib.
,
169
, No.
1
, pp.
3
–
17
.
6.
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.
7.
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
.
8.
Blevins, R. D., 1984, Formulas for Natural Frequency and Mode Shape, Krieger Publishing Company.
9.
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.
10.
Thomson, W. T., 1981, Theory of Vibration with Applications, Prentice Hall, NJ.
11.
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.
12.
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
,
359
–
374
.
13.
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.
14.
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.
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 by ASME
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