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Damage detection in stiffened plates by wavelet transform

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초록

In this study, numerical analysis was carried out by using the finite element method to construct the first mode shape of damaged stiffened plates, and the damage locations were detected with two-dimensional discrete wavelet analysis. In the experimental analysis, four different damaged stiffened structures were observed. Firstly, each damaged structure was hit with a shaker, and then accelerometers were used to measure the vibration responses. Secondly, the first mode shape of each structure was obtained by using the wavelet packet, and the location of cracks were also determined by two-dimensional discrete wavelet analysis. The results of the numerical analysis and experimental investigation reveal that the proposed method is applicable to detect single crack or multi-cracks of a stiffened structure. The experimental results also show that fewer measurement points are required with the proposed technique in comparison to those presented in previous studies.

Abstract

In this study, numerical analysis was carried out by using the finite element method to construct the first mode shape of damaged stiffened plates, and the damage locations were detected with two-dimensional discrete wavelet analysis. In the experimental analysis, four different damaged stiffened structures were observed. Firstly, each damaged structure was hit with a shaker, and then accelerometers were used to measure the vibration responses. Secondly, the first mode shape of each structure was obtained by using the wavelet packet, and the location of cracks were also determined by two-dimensional discrete wavelet analysis. The results of the numerical analysis and experimental investigation reveal that the proposed method is applicable to detect single crack or multi-cracks of a stiffened structure. The experimental results also show that fewer measurement points are required with the proposed technique in comparison to those presented in previous studies.

참고문헌 (12)

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  2. Daubechies, I., "Ten Lectures on Wavelets" (1992), SIAM
  3. Mallat, S.G., "A Theory for Multiresolution Signal Decomposition: the Wave Representation", Comm. Pure Appl. Math, 41, pp.674~693 (1988)
  4. Meyer, Y., "Ondettes et Functions Splines" (1986), Lectures given at the University of Torino
  5. Meyer, Y., "Ondettes, Functions Splines et Analyses Graduees", Seminaire EDP (1986), Ecole Polytechnique
  6. Morlet, J, "Wave Propagation and Sampling Theory", Geophysics, 47, pp.203~236 (1982)
  7. Morlet, J., "Sampling Theory and Wave Propagation. NATO ASI Series", Issues in Acoustic Signal, 1983, pp.1, 233~261
  8. P, Goupillaud, "Cycle-Octave and Related Transforms in Seismic Signal Analysis", Geoexploration, 23, pp.85~102 (1984)
  9. Rucka, M, "Application of continuous wavelet transform in vibration based damage detection method for beams and plates", Journal of Sound and Vibration, 297, pp.536~550 (2006)
  10. Surace, C, "Crack Detection of a Beam Using the Wavelet Transform", Proc. of the 12th International Modal Analysis Conference, pp.1141~1147 (1994)
  11. Wang, W.J, "Application of Orthogonal Wavelets to Early Gear Damage Detection", Mechanical Systems and Signal Processing, 9, pp.497~508 (1996)
  12. Yang, J.M, "Crack identification of stiffened plates by two-dimensional discrete wavelet transform", International Conference of The Asian-Pacific Technical Exchange and Advisory Meeting on Marine Structures (2008)

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