Technical Papers
Feb 9, 2013

Application of Proper Orthogonal Decomposition to Damage Detection in Homogeneous Plates and Composite Beams

Publication: Journal of Engineering Mechanics
Volume 139, Issue 11

Abstract

The topic of the present paper is a damage detection technique based on the theory of proper orthogonal decomposition (POD). Numerical examples and experimental verification are conducted on an aluminum plate. The numerical examples provide useful information on the effect of several parameters, such as damage severity, type of excitation, noise level, and grid size of the sensors and on the reliability of the technique. The experimental verification using the POD method on the acceleration data show that it is possible to locate some defects in a cantilever plate; however, the analysis of the experimental data highlights the sensitivity of the method to the modification of the boundary conditions. Finally, the application of this technique to the detection of delamination in composite materials is conducted numerically on a cantilever beam. A three-dimensional model was used to investigate how the position of the damage along the length and thickness of the beam is detected and to demonstrate the sensitivity of the method to the location of the sensors with respect to the position of the damage.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This research was partially supported by the Italian Ministry of Education, University and Research (MIUR), under PRIN Program 2010/11 No. 2010MBJK5B.

References

Bayly, P. V., Johnson, E. E., Wolf, P. D., Smith, W., and Ideker, R. (1995). “Predicting patterns of epicardial potentials during ventricular fibrillation.” IEEE Trans. Biomed. Eng., 42(9), 898–907.
Cawley, P., and Adams, R. (1979). “The location of defects in structures from measurements of natural frequencies.” J. Strain Anal. Eng. Des., 14(2), 49–57.
Chandrashekhar, M., and Ganguli, R. (2009). “Uncertainty handling in structural damage detection using fuzzy logic and probabilistic simulation.” Mech. Syst. Signal Process., 23(2), 384–404.
Cook, R. D. (2007). Concepts and applications of finite element analysis, Wiley, Hoboken, NJ.
Cusumano, J., Sharkady, M., and Kimble, B. (1994). “Experimental measurements of dimensionality and spatial coherence in the dynamics of a flexible-beam impact oscillator.” Philos. Trans. R. Soc. London, Ser. A, 347(1683), 421–438.
Dassault Systèmes. (2008). Abaqus analysis user’s manual, version 6.8, Dassault Systèmes Simulia Corp., Providence, RI.
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), 91–105.
Feeny, B., and Kappagantu, R. (1998). “On the physical interpretation of proper orthogonal modes in vibrations.” J. Sound Vib., 211(4), 607–616.
Feeny, B., and Liang, Y. (2003). “Interpreting proper orthogonal modes of randomly excited vibration systems.” J. Sound Vib., 265(5), 953–966.
Fitzsimons, P. M., and Rui, C. (1993). “Determining low dimensional models of distributed systems.” Advances in Robust and Nonlinear Control Systems, 43, 9–15.
Galvanetto, U., Surace, C., and Tassotti, A. (2008). “Structural damage detection based on proper orthogonal decomposition: Experimental verification.” AIAA J., 46(7), 1624–1630.
Galvanetto, U., and Violaris, G. (2007). “Numerical investigation of a new damage detection method based on proper orthogonal decomposition.” Mech. Syst. Signal Process., 21(3), 1346–1361.
Graham, M. D., and Kevrekidis, I. G. (1996). “Alternative approaches to the Karhunen-Loeve decomposition for model reduction and data analysis.” Comput. Chem. Eng., 20(5), 495–506.
Hilber, H. M., Hughes, T. J. R., and Taylor, R. L. (1977). “Improved numerical dissipation for time integration algorithms in structural dynamics.” Earthquake Eng. Struct. Dyn., 5(3), 283–292.
Ho, Y. K. (2000). Structural damage identification using changes in vibration characteristics, Imperial College, London.
Holmes, P., Lumley, J. L., and Berkooz, G. (1998). Turbulence, coherent structures, dynamical systems and symmetry, Cambridge University Press, Cambridge, U.K.
Kerschen, G., and Golinval, J. C. (2002). “Physical interpretation of the proper orthogonal modes using the singular value decomposition.” J. Sound Vib., 249(5), 849–865.
Kerschen, G., Golinval, J. C., Vakakis, A. F., and Bergman, L. A. (2005). “The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: An overview.” Nonlinear Dyn., 41(1-3), 147–169.
Ness, S., Sherlock, C. N., Moore, P. O., and McIntire, P. (1996). Nondestructive testing overview, American Society for Nondestructive Testing, Columbus, OH.
Niemann, H., Morlier, J., Shahdin, A., and Gourinat, Y. (2010). “Damage localization using experimental modal parameters and topology optimization.” Mech. Syst. Signal Process., 24(3), 636–652.
Pandey, A., Biswas, M., and Samman, M. (1991). “Damage detection from changes in curvature mode shapes.” J. Sound Vib., 145(2), 321–332.
Penny, J. E. T., Friswell, M. I., and Inman, D. J. (2012). “Approximate frequency analysis in structural dynamics.” Mech. Syst. Signal Process., 27, 370–378.
Radzieński, M., Krawczuk, M., and Palacz, M. (2011). “Improvement of damage detection methods based on experimental modal parameters.” Mech. Syst. Signal Process., 25(6), 2169–2190.
Ratcliffe, C. P. (1997). “Damage detection using a modified Laplacian operator on mode shape data.” J. Sound Vib., 204(3), 505–517.
Ratcliffe, C. P. (2000). “A frequency and curvature based experimental method for locating damage in structures.” J. Vib. Acoust., 122(3), 324–329.
Salawu, O. (1997). “Detection of structural damage through changes in frequency: A review.” Eng. Struct., 19(9), 718–723.
Shane, C., and Jha, R. (2011). “Proper orthogonal decomposition based algorithm for detecting damage location and severity in composite beams.” Mech. Syst. Signal Process., 25(3), 1062–1072.
Sultan, M., et al. (2011). “On impact damage detection and quantification for CFRP laminates using structural response data only.” Mech. Syst. Signal Process., 25(8), 3135–3152.
Sun, E. Q. (2006). “Shear locking and hourglassing in MSC Nastran, ABAQUS, and ANSYS.” Proc., MSC Software Corporation’s 2006 Americas Virtual Product Development Conf.: Evolution to Enterprise Simulation, MSC Software, Santa Ana, CA, 1–9.
Thiene, M. (2010). “Studio numerico e sperimentale di una metodologia innovativa per l'individuazione del danneggiamento strutturale.” M.S. thesis, Univ. of Padova, Padova, Italy.
Thiene, M., Zaccariotto, M., Debei, S., and Galvanetto, U. (2011). “Damage detection using proper orthogonal decomposition applied to a plate structure.” Proc., 8th Int. Conf. on Structural DynamicsDe Roeck, G., Degrande, G., Lombaert, G., and Müller, G., eds., EURODYN, Athens, Greece, 2382–2389.
Thiene, M., Zaccariotto, M., Galvanetto, U., and Gherlone, M. (2012). “Application of smoothing techniques to damage detection using proper orthogonal decomposition.” Proc., Int. Conf. on Noise and Vibration Engineering and Int. Conf. on Uncertainty in Structural Dynamics, Katholieke Univ. Leuven, Leuven, Belgium, 869–880.
Vestroni, F., and Capecchi, D. (2000). “Damage detection in beam structures based on frequency measurements.” J. Eng. Mech., 126(7), 761–768.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 139Issue 11November 2013
Pages: 1539 - 1550

History

Received: May 31, 2012
Accepted: Feb 7, 2013
Published online: Feb 9, 2013
Published in print: Nov 1, 2013

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Student, Dept. of Industrial Engineering, G. Colombo Center of Studies and Activities for Space (CISAS), Univ. of Padova, via Marzolo 9, 35131 Padova, Italy. E-mail: [email protected]
M. Zaccariotto [email protected]
Assistant Professor, Dept. of Industrial Engineering, G. Colombo Center of Studies and Activities for Space (CISAS), Univ. of Padova, via Venezia 1, 35131 Padova, Italy. E-mail: [email protected]
U. Galvanetto [email protected]
Full Professor, Dept. of Industrial Engineering, G. Colombo Center of Studies and Activities for Space (CISAS), Univ. of Padova, via Marzolo 9, 35131 Padova, Italy (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share