Smart Structures and Systems

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Perturbation analysis for robust damage detection with application to multifunctional aircraft structures

  • Hajrya, Rafik (Arts et Metiers ParisTech (ENSAM), Process and Engineering in Mechanics and Materials Laboratory (PIMM)) ;
  • Mechbal, Nazih (Arts et Metiers ParisTech (ENSAM), Process and Engineering in Mechanics and Materials Laboratory (PIMM))
  • Received : 2013.08.17
  • Accepted : 2014.12.03
  • Published : 2015.09.25
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Abstract

The most widely known form of multifunctional aircraft structure is smart structures for structural health monitoring (SHM). The aim is to provide automated systems whose purposes are to identify and to characterize possible damage within structures by using a network of actuators and sensors. Unfortunately, environmental and operational variability render many of the proposed damage detection methods difficult to successfully be applied. In this paper, an original robust damage detection approach using output-only vibration data is proposed. It is based on independent component analysis and matrix perturbation analysis, where an analytical threshold is proposed to get rid of statistical assumptions usually performed in damage detection approach. The effectiveness of the proposed SHM method is demonstrated numerically using finite element simulations and experimentally through a conformal load-bearing antenna structure and composite plates instrumented with piezoelectric ceramic materials.

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References

  1. Adhikari, S. (2006), "Damping modeling using generalized proportional damping", J. Sound Vib., 293(1-2), 156-170. https://doi.org/10.1016/j.jsv.2005.09.034
  2. Balmes, E and Deraemaeker, A. (2013), "Modeling structures with piezoelectric materials", SDT tutorial, SDTools, Paris, France.
  3. Belouchrani, A., bed-Meraim, K., Cardoso, J.F. and Moulines, E. (1997), "A Blind source separation technique using second-order statistics", IEEE Signal Pr., 45(2), 434-444. https://doi.org/10.1109/78.554307
  4. Comon, P., and Jutten, C. (2010), Handbook of Blind Source Separation, Elsevier, Burlington, Vermont, USA.
  5. Cover, T. M. and Thomas, J. A. (2006), Elements of Information Theory, John Wiley & Sons, New Jersey, USA.
  6. De Boe, P. and Golinval, J.C. (2003), "Principal component analysis of a piezosensor array for damage localization", Struct Health Monit., 2(2), 137-144. https://doi.org/10.1177/1475921703002002005
  7. Donoho, D. (1981), "On Minimum entropy deconvolution", J. Time Ser. Anal (II), 565-609.
  8. Elseifi, M.A. (2010), "Independent component analysis and K-means clustering for damage detection in structural systems", Proceedings of the Structural Dynamics and Materials Conference, Orlando, Florida, April.
  9. Farrar, C.R. and Lieven, N.A.J. (2007), "Damage prognosis: The future of structural health monitoring", Philos. T. R. Soc. Lond., A, 365(1851), 623-632. https://doi.org/10.1098/rsta.2006.1927
  10. Ferroperm (2009), Material data based on typical values for piezoceramic, Paris France.
  11. Gavert, H., Jaakko, H., Sarela, J. and Hyvarinen, A (2005), The FastICA Matlab package, Aalto, Finland.
  12. Golub, G.H. and Van Loan, C.F. (1983), Matrix Computation, Johns Hopkins University Press, Baltimore, Maryland, USA.
  13. Hajrya, R. and Mechbal, N. (2013), "Principal component analysis and perturbation theory-based robust damage detection of multifunctional aircraft structure", Struct Health Monit., 12(3), 263-277. https://doi.org/10.1177/1475921713481015
  14. Hajrya, R., Mechbal, N. and Verge, M. (2010), "Active damage detection and localization applied to a composite structure using piezoceramic patches", Proceedings of the IEEE Conference on Control and Fault-Tolerant Systems, Nice, October.
  15. Hyvarinen, A., Karhunen, J. and Oja, E. (2001), Independent Component Analysis: Algorithms and Applications, John Wiley & Sons, New York, NY, USA.
  16. Kerschen, G., Poncelet, F. and Golinval, J.C. (2007), "Physical interpretation of independent component analysis in structural dynamics", Mech Syst. Signal Pr., 21(4), 1561-1575. https://doi.org/10.1016/j.ymssp.2006.07.009
  17. Liu, X., Zhou, C. and Jiang, Z. (2012), "Damage localization in plate-like structure using built-in PZT sensor network", Smart Struct Syst., 9(1), 21-33. https://doi.org/10.12989/sss.2012.9.1.021
  18. Lockyer, A.J., Alt, K.H., Kudva, J.N., Kinslow, R.W. and Goetz, A.C. (1996), "Conformal load-bearing antenna structures (CLAS): Initiative for Multiple Military and Commercial Applications", Proceedings of the SPIE Conferenceon Smart Structures and Materials, San Diego, CA, March.
  19. Mahzan, S., Staszewski, W.J. and Worden, K. (2010), "Experimental studies on impact damage location in composite aerospace structures using genetic algorithms and neural networks", Smart Struct. Syst., 6(2), 147-165. https://doi.org/10.12989/sss.2010.6.2.147
  20. McNeill, S.I. and Zimmerman, D.C. (2008), "A Framework for blind modal identification using joint approximate diagonalization", Mech. Syst. Signal Pr., 22(7), 1526-1548. https://doi.org/10.1016/j.ymssp.2008.01.010
  21. Mujica, L.E., Rodellar, J., Fernandez, A. and Guemes, A. (2011), "Q-Statistic and T2-Statistic PCA-based measures for damage assessment in structures", Struct. Health Monit., 10(5), 539-553. https://doi.org/10.1177/1475921710388972
  22. Nguyen, V.H. and Golinval, J.C. (2011), "Damage detection using blind source separation techniques", Proceedings of the Conference Society for Experimental Mechanics Series, Florida, January.
  23. Preumont, P. (2002), Vibration control of active structures-An introduction, (3rd Ed.), Springer, New York, NY, USA.
  24. SMSE (2010), Research Report-SMSE project: smart materials and structures for electromagnetics, Document INE-MSI_DE-0004-A", Paris, France.
  25. Sohn, H., Allen, D.W., Worden, K. and Farrar, C.R. (2005), "Structural damage classification using extreme value statistics", J. Dyna. Syst. -T -ASME, 127(1), 125-132.
  26. Stewart, G.M. and Sun, J.G. (1990), Matrix Perturbation Theory, Academic Press Boston, Massachusetts, USA.
  27. Valliappan, S., Mufti, V. and Wohua, Zh. (1990), "Finite element analysis of anisotropic damage mechanics problems", Eng. Fract. Mech., 35(6), 1061-1071. https://doi.org/10.1016/0013-7944(90)90134-3
  28. Wang, Q. and Wu, N. (2012), "A review on structural enhancement and repair using piezoelectric materials and shape memory alloys", Smart Mater. Struct., 21(1), 1-23.
  29. Wedin, P. (1972), "Perturbation bounds in connection with singular value decomposition", Numer Math., 12(1), 99-111. https://doi.org/10.1007/BF01932678
  30. Worden, K., Manson, G. and Fieller, N.R.J. (2000), "Damage detection using outlier analysis", J. Sound Vib., 229(3), 647-667. https://doi.org/10.1006/jsvi.1999.2514
  31. Zang, C., Friswell, M.I. and Imregun, M. (2004), "Structural damage detection using independent component analysis", Struct. Health Monit., 3(1), 69-83. https://doi.org/10.1177/1475921704041876
  32. Zhou, W., and Chelidze, D. (2007), "Blind source separation based vibration mode identification", Mech. Syst. Signal Pr., 21(8), 3072-3087. https://doi.org/10.1016/j.ymssp.2007.05.007

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