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A Frequency Response Based Structural Damage Localization Method Using Proper Orthogonal Decomposition

Published online by Cambridge University Press:  16 June 2011

M. Salehi ,
S. Ziaei-Rad ,
M. Ghayour  and
M.A. Vaziri-Zanjani
M. Salehi*
Affiliation:
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran
S. Ziaei-Rad
Affiliation:
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran
M. Ghayour
Affiliation:
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran
M.A. Vaziri-Zanjani
Affiliation:
Department of Aerospace EngineeringAmirkabir University of Technology, Tehran, Iran
*
*Graduate student, corresponding author
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Abstract

Vibration-based structural damage detection has been the focus of attention by many researchers over the last few decades. However, most methods proposed for this purpose utilize extracted modal parameters or some indices constructed based on these parameters. A literature review revealed that few papers have employed Frequency Response Functions (FRFs) for detecting structural damage. In this paper, a technique is presented for damage detection which is based on measured FRFs. Proper Orthogonal Decomposition (POD) has been implemented on spatiotemporal responses in each frequency in order to reduce the dimension of the data. This is based on the concept that the forced harmonic response of a linear vibrating system can be fully captured utilizing a single basis vector. A different approach is also presented in this paper in which POD is applied to the frequency domain data. Operational Deflection Shapes (ODSs) have been decomposed using POD to localize the damage. The efficiency of the method is demonstrated through some numerical and experimental case studies.

Keywords

Damage-Frequency Response Function-Proper Orthogonal Decomposition
Type
Articles
Information
Journal of Mechanics , Volume 27 , Issue 2 , June 2011 , pp. 157 - 166
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2011

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References

1. Sohn, H., Farrar, C. R., Hemez, F. M., Shunk, D. D., Stinemates, S. W., Nadler, B. R. and Czarnecki, J. J., “A Review of Structural Health Monitoring Literature From 1996–2001,” Technical Report LA-13976MS, Los Alamos National Laboratory Report, (2004).Google Scholar
2. Perera, R. and Ruiz, A., “Multi-Stage FE Updating Procedure for Damage Identification in Large Scale Structures Based on Multi-Objective Evolutionary Optimization,” Mechanical Systems and Signal Processing, 22, pp. 970–991 (2008).CrossRefGoogle Scholar
3. Jaishi, B. and Ren, W. X., “Damage Detection by Finite Element Model Updating Using Modal Flexibility Residual,” Journal of Sound and Vibration, 290, pp. 369–387 (2006).CrossRefGoogle Scholar
4. Cawley, P. and Adams, R. D., “The Location of Defects in Structures from Measurements of Natural Frequencies,” Journal of Strain Analysis, 14, pp. 49–57 (1979).CrossRefGoogle Scholar
5. West, W. M., “Illustration of the Use of Modal Assurance Criterion to Detect Structural Changes in an Orbiter Test Specimen,” Proceedings of the Air Force Conference on Aircraft Structural Integrity, pp. 1–6 (1984).Google Scholar
6. Leiven, N. A. J. and Ewins, D. J., “Spatial Correlation of Mode Shapes, the Coordinate Modal Assurance Criterion (COMAC),” Proceedings of the Sixth International Modal Analysis Conference, 1, pp. 690–695 (1988).Google Scholar
7. Lu, Q., Ren, G. and Zhao, Y., “Multiple Damage Location with Flexibility Curvature and Relative Frequency Change for Beam Structures,” Journal of Sound and Vibration, 253, pp. 1101–1114 (2002).CrossRefGoogle Scholar
8. Pandy, A. K., Biswas, M. and Samman, M. M., “Damage Detection from Changes in Curvature Mode Shapes,” Journal of Sound and Vibration, 145, pp. 321–332 (1991).CrossRefGoogle Scholar
9. Ewins, D. J., Modal Testing: Theory, Practice and Application, 2nd Ed., Research Studies Press, (2000).Google Scholar
10. Maia, N. M. M., Silva, J. M. M. and Sampaio, R. P. C., “Localization of Damage Using Curvature of the Frequency Response Functions,” XV International Modal Analysis Conference, Orlando, USA, pp. 942–946 (1997).Google Scholar
11. Sampaio, R. P. C., 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. 1029–1042 (1999).CrossRefGoogle Scholar
12. Liu, X., Lieven, N. A. J. and Escamilla-Ambrosio, P. J., “Frequency Response Function Shape-Based Methods for Structural Damage Localization,” Mechanical Systems and Signal Processing, 23, pp. 1243–1259 (2009).CrossRefGoogle Scholar
13. Adhikari, S. and Friswell, M. I., “Distributed Parameter Model Updating Using the Karhunen-Loeve Expansion,” Mechanical Systems and Signal Processing, 24, pp. 326–339 (2010).CrossRefGoogle Scholar
14. Feeny, B. F. and Kappagantu, R., “On the Physical Interpretation of Proper Orthogonal Modes in Vibrations,” Journal of Sound and Vibration, 211, pp. 607–616 (1998).CrossRefGoogle Scholar
15. Feeny, B. F. and Liang, Y., “Interpreting Proper Orthogonal Modes of Randomly Excited Vibration Systems,” Journal of Sound and Vibration, 265, pp. 953–966 (2003).CrossRefGoogle Scholar
16. Chelidze, D. and Zhou, W., “Smooth Orthogonal Decomposition-Based Vibration Mode Identification,” Journal of Sound and Vibration, 292, pp. 461–473 (2006).CrossRefGoogle Scholar
17. Galvanetto, U., Violaris, , “Numerical Investigation of a New Damage Detection Method Based on Proper Orthogonal Decomposition,” Mechanical Systems and Signal Processing, 21, pp. 1346–1361 (2007).CrossRefGoogle Scholar
18. Galvanetto, U., Surace, C. and Tassotti, A., “Structural Damage Detection Based on Proper Orthogonal Decomposition: Experimental Verification,” AIAA Journal, 46, pp. 1624–1630 (2008).CrossRefGoogle Scholar
19. Trendafilova, I., Cartmellb, M. P. and Ostachowicz, W., “Vibration-Based Damage Detection in an Aircraft Wing Scaled Model Using Principal Component Analysis and Pattern Recognition,” Journal of Sound and Vibration, 313, pp. 560–566 (2008).CrossRefGoogle Scholar
20. Chen, J. T., Chen, I. L. and Chen, K. H., “Treatment of Rank-Deficiency in Acoustics Using SVD,” Journal of Computational Acoustics, 14, pp. 157–183 (2006).CrossRefGoogle Scholar
21. Wu, C. G., Liang, Y. C., Lin, W. Z., Lee, H. P. and Lim, S. P., “A Note on Equivalence of Proper Orthogonal Decomposition Methods,” Journal of Sound and Vibration, 265, pp. 1103–1110 (2003).CrossRefGoogle Scholar
22. Kirby, M., Geometric Data Analysis: An Empirical Approach to Dimensionality Reduction and the Study of Patterns, John Wiley U.S.A. (2001).Google Scholar
23. Kerschen, G. and Golinval, J. C., “Physical Interpretation of the Proper Orthogonal Modes Using the Singular Value Decomposition,” Journal of Sound and Vibration, 249, pp. 849–865 (2002).CrossRefGoogle Scholar
24. He, J. and Fu, Z. F., Modal Analysis, Butterworth Heinemann press (2001).Google Scholar
25. Salehi, M., Ziaei-Rad, S. and Ghayour, M., “A Structural Damage Localization Method Based on Dynamically Measured Flexibility Matrix,” Proceedings of 8th Aerospace Conference, Shahinshahr, Iran (2009).Google Scholar