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Delamination identification of laminated composite plates using measured mode shapes

  • Xu, Yongfeng (Department of Mechanical and Materials Engineering, University of Cincinnati) ;
  • Chen, Da-Ming (Department of Mechanical Engineering, University of Maryland) ;
  • Zhu, Weidong (Department of Mechanical Engineering, University of Maryland) ;
  • Li, Guoyi (School for Engineering of Matter, Transport and Energy, Arizona State University) ;
  • Chattopadhyay, Aditi (School for Engineering of Matter, Transport and Energy, Arizona State University)
  • Received : 2018.08.12
  • Accepted : 2018.12.30
  • Published : 2019.02.25

Abstract

An accurate non-model-based method for delamination identification of laminated composite plates is proposed in this work. A weighted mode shape damage index is formulated using squared weighted difference between a measured mode shape of a composite plate with delamination and one from a polynomial that fits the measured mode shape of the composite plate with a proper order. Weighted mode shape damage indices associated with at least two measured mode shapes of the same mode are synthesized to formulate a synthetic mode shape damage index to exclude some false positive identification results due to measurement noise and error. An auxiliary mode shape damage index is proposed to further assist delamination identification, by which some false negative identification results can be excluded and edges of a delamination area can be accurately and completely identified. Both numerical and experimental examples are presented to investigate effectiveness of the proposed method, and it is shown that edges of a delamination area in composite plates can be accurately and completely identified when measured mode shapes are contaminated by measurement noise and error. In the experimental example, identification results of a composite plate with delamination from the proposed method are validated by its C-scan image.

Keywords

Acknowledgement

Supported by : National Science Foundation

References

  1. Castro, S. and Donadon Mauricio, V. (2016), "Assembly of semianalytical models to address linear buckling and vibration of stiffened composite panels with debonding defect", Compos. Struct., 160, 232-247. https://doi.org/10.1016/j.compstruct.2016.10.026
  2. Chakraborty, S., Mandal, B., Chowdhury, R. and Chakrabarti, A. (2016), "Stochastic free vibration analysis of laminated composite plates using polynomial correlated function expansion", Compos. Struct., 135, 236-249. https://doi.org/10.1016/j.compstruct.2015.09.044
  3. Cox, I. and Gaudard, M. (2013), Discovering partial least squares with JMP, SAS Institute, Rockville, MD, USA.
  4. Doebling, S., Farrar, C., Prime, M. and Shevitz, D. (1996), Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: a literature review, LA-13070-MS, Los Alamos National Laboratory.
  5. Ewins, D.J. (1984), Modal Testing: Theory and Practice, Research Studies Press, England.
  6. Jafari-Talookolaei, R., Abedi, M and Hajianmaleki, M (2016), "Vibration characteristics of generally laminated composite curved beams with single through-the-width delamination", Compos. Struct., 138, 172-183. https://doi.org/10.1016/j.compstruct.2015.11.050
  7. Kim, H.Y. and Hwang, W. (2002), "Effect of debonding on natural frequencies and frequency response functions of honeycomb sandwich beams", Compos. Struct., 55(1), 51-62. https://doi.org/10.1016/S0263-8223(01)00136-2
  8. Kumar, S., Ganguli, R. and Harursampath, D. (2017), "Detecting width-wise partial delamination in the composite beam using generalized fractal dimension", Smart Struct. Syst., 19(1), 91-103. https://doi.org/10.12989/sss.2017.19.1.091
  9. Lestari, W., Qiao, P. and Hanagud, S. (2007), "Curvature mode shape-based damage assessment of carbon epoxy composite beams", J. Intel. Mat. Syst. Str., 18(3), 189-208. https://doi.org/10.1177/1045389X06064355
  10. Mendrok, K., Wojcicki, J. and Uhl, T. (2015), "An application of operational deflection shapes and spatial filtration for damage detection", Smart Struct. Syst., 16(6), 91-103.
  11. Min, C., Kim, H., Yeu, T. and Hong, S. (2015), "Sensitivity-based damage detection in deep water risers using modal parameters: numerical study", Smart Struct. Syst., 15(2), 315-334. https://doi.org/10.12989/sss.2015.15.2.315
  12. Moon, T.C., Kim, H.Y. and Hwang, W. (2003), "Natural-frequency reduction model for matrix-dominated fatigue damage of composite laminates", Compos. Struct., 62(1), 19-26. https://doi.org/10.1016/S0263-8223(03)00080-1
  13. Moreno-Garcia, P., dos Santos, J. and Lopes, H. (2014), "A new technique to optimize the use of mode shape derivatives to localize damage in laminated composite plates", Compos. Struct., 108, 548-554. https://doi.org/10.1016/j.compstruct.2013.09.050
  14. Wright, S. and Nocedal, J. (1999), Numerical Optimization, Springer Science, USA.
  15. Pardoen, G. (1989), "Effect of delamination on the natural frequencies of composite laminates", J. Compos. Mater., 23(12), 1200-1215. https://doi.org/10.1177/002199838902301201
  16. Qiao, P., Lu, K., Lestari, W. and Wang, J. (2007), "Curvature mode shape-based damage detection in composite laminated plates", Compos. Struct., 80(3), 409-428. https://doi.org/10.1016/j.compstruct.2006.05.026
  17. Torkzadeh, P., Fathnejat, H. and Ghiasi, R. (2016), "Damage detection of plate-like structures using intelligent surrogate model", Smart Struct. Syst., 18(6), 1233-1250. https://doi.org/10.12989/sss.2016.18.6.1233
  18. Valdes, S.H.D. and Soutis, C. (1999), "Delamination detection in composite laminates from variations of their modal characteristics", J. Sound Vib., 228(1), 1-9. https://doi.org/10.1006/jsvi.1999.2403
  19. Wright, S. and Nocedal, J. (1999), Numerical Optimization, Springer-Verlag New York, New York, NY, USA.
  20. Xu, Y.F. and Zhu, W.D. (2017), "Non-model-based damage identification of plates using measured mode shapes", Struct. Health Monit., 16(1), 3-23. https://doi.org/10.1177/1475921716655974
  21. Xu, Y.F., Zhu, W.D. and Smith, S.A. (2017), "Non-model-based damage identification of plates using principal, mean and gaussian curvature mode shapes", J. Sound Vib., 400, 626-659. https://doi.org/10.1016/j.jsv.2017.03.030
  22. Yang, Z., Radzienski, M., Kudela, P. and Ostachowicz, W. (2016), "Two-dimensional modal curvature estimation via Fourier spectral method for damage detection", Compos. Struct., 148, 155-167. https://doi.org/10.1016/j.compstruct.2016.04.001
  23. Yang, C. and Oyadiji, S. (2016), "Detection of delamination in composite beams using frequency deviations due to concentrated mass loading", Compos. Struct., 146, 1-13. https://doi.org/10.1016/j.compstruct.2015.12.002
  24. Zhang, Z., Shankar, K., Morozov, E. and Tahtali, M. (2016), "Vibration-based delamination detection in composite beams through frequency changes", J. Vib. Control, 22(2), 496-512. https://doi.org/10.1177/1077546314533584
  25. Zou, Y., Tong, L.P.S.G. and Steven, G.P. (2000), "Vibration-based model-dependent damage (delamination) identification and health monitoring for composite structures-a review", J. Sound Vib., 230(2), 357-378. https://doi.org/10.1006/jsvi.1999.2624