Research Papers

Damage Detection in Fiber-Reinforced Composite Beams by Using a Bayesian Fusion Method

[+] Author and Article Information
U. Baneen

e-mail: z3229637@student.unsw.edu.au

J. E. Guivant

e-mail: j.guivant@unsw.edu.au
School of Mechanical and
Manufacturing Engineering,
University of New South Wales,
Sydney 2052, Australia

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the Journal of Vibration and Acoustics. Manuscript received October 16, 2012; final manuscript received March 20, 2013; published online June 19, 2013. Assoc. Editor: Marco Amabili.

J. Vib. Acoust 135(6), 061008 (Jun 19, 2013) (11 pages) Paper No: VIB-12-1288; doi: 10.1115/1.4024096 History: Received October 16, 2012; Revised March 20, 2013

This paper presents a method for the detection of damage present in composite beam-type structures. The method, which successfully detected damage in steel beams, is applied to a glass fiber-reinforced beam in order to verify its suitability for composite structures as well. The damage indices were obtained using the gapped-smoothing method (GSM), which does not require a baseline model in order to detect damage. Despite the advantage of avoiding the need for a reference model altogether, unavoidable measurement errors make GSM rather ineffective. The proposed method uses the damage indices that GSM provides for synthesizing a set of likelihood functions that is processed under a Bayesian approach in order to reduce the effect of the noise and other uncertainty sources. The quality of the damage detection was examined by investigating an optimal sampling size analytically, and it was demonstrated through numerical simulation. This paper details the theory of the noise suppression method based on Bayesian data fusion, includes an analysis of the optimal sampling size, and presents the experimental results for two glass fiber-reinforced composite beams with a narrow and wide delamination, respectively. A noise-addition process was applied to the simulated data considering two different noise distributions. The composite beam was modeled in ANSYS, and harmonic analysis was used to obtain the frequency response functions at different beam locations. The results were obtained by adding 5, 10, and 15% noise in the simulated data, and they were then validated from the experimental results.

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Li, H. C. H., Weis, M., and Mouritz, A.P., 2004, “Damage Detection in a Fibre Reinforced Composite Beam Using Random Decrement Signatures,” Steel Compos. Struct., 66, pp. 159–167. [CrossRef]
Kesavan, A., John, S., and Herszberg, I., 2008, “Structural Health Monitoring of Composite Structures Using Artificial Intelligence Protocols,” J. Intell. Mater. Syst. Struct., 19(1), pp. 63–72. [CrossRef]
Bolotin, V. V., 1996, “Delaminations in Composite Structures: Its Origin, Buckling, Growth and Stability,” Composites, Part B, 27(2), pp. 129–145. [CrossRef]
Warraich, D. S., Kelly, D. W., Furukawa, T., and Herszberg, I., 2009, “Ultrasonic Stochastic Localization of Hidden Defects in Composite Materials,” Proceedings of SAMPE, Baltimore, MD, May 18–21.
Lee, B. C., and Staszewski, W. J., 2003, “Modelling of Lamb Waves for Damage Detection in Metallic Structures: Part I. Wave Propagation,” Smart Mater. Struct., 12(5), pp. 804–814. [CrossRef]
Banks, H. T., Joyner, M. L., Wincheski, B., and Winfree, W. P., 2002, “Real Time Computational Algorithms for Eddy-Current-Based Damage Detection,” Inverse Probl., 18(3), pp. 795–823. [CrossRef]
Babbar, V., Shiari, B., and Clapham, L., 2004, “Mechanical Damage Detection With Magnetic Flux Leakage Tools: Modelling the Effect of Localized Residual Stresses,” IEEE Trans. Magn., 40(1), pp. 43–49. [CrossRef]
Pye, C. J., and Adams, R. D., 1981, “Detection of Damage in Fibre Reinforced Plastics Using Thermal Fields Generated During Resonant Vibration,” NDT Int., 14(3), pp. 111–118. [CrossRef]
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 Lab., Technical Report No. LA-13070-MS.
Zou, Y., Tong, L., 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), pp. 357–378. [CrossRef]
Salawu, O. S., 1997, “Detection of Structural Damage Through Changes in Frequency: A Review,” Eng. Struct., 19(9), pp. 718–723. [CrossRef]
Salawu, O. S., and Williams, C., 1994, “Damage Location Using Vibration Mode Shapes,” Proceedings of 12th International Modal Analysis Conference, Honolulu, HI, January 31–February 3, pp. 933–939.
Humar, J., Bagchi, A., and Xu, H., 2006, “Performance of Vibration-Based Techniques for the Identification of Structural Damage,” Struct. Health Monit., 5(3), pp. 215–241. [CrossRef]
Farrar, C. R., Doebling, S. W., and Nix, D. A., 2001, “Vibration-Based Structural Damage Identification,” Philos. Trans. R. Soc. London, Ser. A,359(1778), pp. 131–149. [CrossRef]
Pandey, A. K., Biswas, M., and Samman, M. M., 1991, “Damage Detection From Changes in Curvature Mode Shapes,” J. Sound Vib., 145(2), pp. 321–332. [CrossRef]
Ratcliffe, C. P., 2000, “A Frequency and Curvature Based Experimental Method for Locating Damage in Structures,” ASME J. Vibr. Acoust., 122, pp. 324–329. [CrossRef]
Yoon, M. K., Heider, D., Gillespie, J. W., Jr., Ratcliffe, C. P., and Crane, R. M., 2005, “Local Damage Detection Using the Two-Dimensional Gapped-Smoothing Method,” J. Sound Vib., 279(1–2), pp. 119–139. [CrossRef]
Montalvão, D., Maia, N. M. M., and Ribeiro, A. M. R., 2006, “A Review of Vibration-Based Structural Health Monitoring With Special Emphasis on Composite Materials,” Shock Vib., 38(4), pp. 295–324. [CrossRef]
Baneen, U., Kinkaid, N. M., Guivant, J. E., and Herszberg, I., 2012, “Vibration Based Damage Detection of a Beam-Type Structure Using Noise Suppression Method,” J. Sound Vib., 331(8), pp. 1777–1788. [CrossRef]
Mann, A., 2011, “Cracks in Steel Structures,” Proc. Am. Soc. Civ. Eng., 164(1), pp. 15–23. [CrossRef]
Camanho, P. P., Dávila, C. G., and Ambur, D. R., 2001, “Numerical Simulation of Delamination Growth in Composite Materials,” National Aeronautics and Space Administration, Langley Research Center, VA, Report No. NASA-TP-211041.
Adediran, O., 2007, “Analytical and Experimental Vibration Analysis of Glass Fibre Reinforced Polymer Composite Beam,” M.S. thesis, Blekinge Institute of Technology, Karlskrona, Sweden.
Iott, J., Haftka, R. T., and Adelman, H. A., 1985, “Selecting Step Sizes in Sensitivity Analysis by Finite Differences,” National Aeronautics and Space Administration, Technical Report NASA TM-86382.
Sazonov, E., and Klinkhachorn, P., 2005, “Optimal Spatial Sampling Interval for Damage Detection by Curvature or Strain Energy Mode Shapes,” J. Sound Vib., 285(4–5), pp. 783–801. [CrossRef]
Ratcliffe, C. P., and Bagaria, W. J., 1998, “Vibration Technique for Locating Delamination in a Composite Beam,” AIAA J., 36(6), pp. 1074–1077. [CrossRef]
Wang, J. H., and Chuang, S. C., 2004, “Reducing Errors in the Identification of Structural Joint Parameters Using Error Functions,” J. Sound Vib., 273(1–2), pp. 295–316. [CrossRef]
Wang, J. H., and Liou, C. M., 1990, “Identification of Parameters of Structural Joints by Use of Noise-Contaminated FRFs,” J. Sound Vib., 142(2), pp. 261–277. [CrossRef]
Abdo, M.A.-B., 2012, “Damage Detection in Plate-Like Structures Using High-Order Mode Shape Derivatives,” Int. J. Civil Struct. Eng., 2(3), pp. 801–816. [CrossRef]
ME'ScopeVES software, 2008 Vibrant Technology, Inc., Scotts Valley, CA, http://www.vibetech.com/go.cfm/en-us/content/index


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Fig. 1

Damage indices generated by the first five modes using the gapped-smoothing method

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Fig. 2

Damage indices after the pruning stage of the noise suppression process, for the cases K = 1 to K = N

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Fig. 3

Plots of (a) h & hm and (b) E(h) and max(u″(x)) against number of samples for ε = 0.001

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Fig. 4

Optimal sample size for one unit length of beam against different sampling intervals

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Fig. 5

Delaminated GFRP beam model in ANSYS

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Fig. 6

A typical simulated FRF with a 5% noise level of (a) Gaussian distribution and (b) non-Gaussian distribution

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Fig. 7

Damage indices from (a) mode 1, (b) mode 2, (c) mode 3, and (d) mode 4, considering a 5% noise level (non-Gaussian) (SS: sample size)

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Fig. 8

Damage indices from (a) mode 1, (b) mode 2, (c) mode 3, and (d) mode 4, considering a 10% noise level (non-Gaussian) (SS: sample size)

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Fig. 9

Damage indices from (a) mode 1, (b) mode 2, (c) mode 3, and (d) mode 4, considering a 15% noise level (non-Gaussian) (SS: sample size)

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Fig. 10

Estimated damage indices (a) for K = 2, N = 2, (b) for K = 3, N = 3, and (c) for K = 4, N = 4, considering a 5% noise level (non-Gaussian) (SS: sample size)

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Fig. 11

Estimated damage indices (a) for K = 2, N = 2, (b) for K = 3, N = 3, and (c) for K = 4, N = 4, considering a 10% noise level (non-Gaussian) (SS: sample size)

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Fig. 12

Estimated damage indices (a) for K = 2, N = 2, (b) for K = 3, N = 3, and (c) for K = 4, N = 4, considering a 15% noise level (non-Gaussian) (SS: sample size)

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Fig. 13

Damage indices from the gapped-smoothing method applied to a 150-mm long delamination

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Fig. 14

Damage indices from the proposed estimation method applied for a 150-mm long delamination

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Fig. 15

Damage indices from the gapped-smoothing method applied to a 50-mm long delamination

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Fig. 16

Damage indices from the proposed estimation method applied for a 50-mm long delamination




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