Abstract
This paper is concerned with a novel wavelet-based damage detection method for beam-like structures. The method employs the orthogonal wavelet transform (OWT), and is based on extracting an approximation function from the damaged mode of structure. This approximation function is considerably well correlated with the undamaged structural mode. Exploiting this function, the continuous wavelet transform (CWT) coefficients of both the damaged mode and the approximation function can be computed, and thus a reliable damage index can be obtained by taking their difference. The numerical simulations reveal that the proposed index is more capable in capturing damage-induced singularities than the classical approach based on using only the damaged mode.
Key Words: Wavelet analysis, continuous wavelet transform, orthogonal wavelet transform, vibration modes, damage detection.
Keywords
Wavelet analysis continuous wavelet transform orthogonal wavelet transform vibration modes damage detection
References
- Kim, H., Melhem, H. “Damage detection of structures by wavelet analysis”, Engineering Structures, 26: 347-62 (2004).
- Hong, J.C., Kim, Y.Y., Lee, H.C., Lee, Y.W. “Damage detection using the Lipschitz exponent estimated by the wavelet transform: applications to vibration modes of a beam”, International Journal of Solids and Structures, 39: 1803-16 (2002).
- Douka, E., Loutridis, S., Trochidis, A. “Crack identification in beams using wavelet analysis”. International Journal of Solids and Structures, 40: 3557-69 (2003).
- Gentile, A., Messina, A., “On the continuous wavelet transforms applied to discrete vibrational data for detecting open cracks in damaged beams”, International Journal of Solids and Structures, 40: 295-315 (2003).
- Chang, C.C., Chen, L.-W. “Damage detection of a cracked thick rotating blades by a spatial wavelet based approach”, Applied Acoustics, 65: 1095-111 (2004).
- Chang, C.C., Chen, L.W. “Damage detection of a rectangular plate by spatial wavelet based approach”, Applied Acoustics, 65: 819-32 (2004).
- Loutridis, S., Douka, E., Trochidis, A. “Crack identification in double-cracked beams using wavelet analysis”, Journal of Sound and Vibration, 277: 1025-39 (2004).
- Chang, C.C., Chen, L.W., “Detection of the location and size of cracks in the multiple cracked beam by spatial wavelet based approach”, Mechanical Systems and Signal Processing. 19: 139-55 (2005).
- Rucka, M., Wilde, K., “Application of continuous wavelet transform in vibration based damage detection method for beams and plates”, Journal of Sound and Vibration, 297: 536-50 (2006).
- Castro, E., Garcia-Hernández, M.T., Gallego, A., “Damage detection in rods by means of the wavelet analysis of vibrations: Influence of the mode order”, Journal of Sound and Vibration, 296: 1028-1038 (2006).
- Castro, E., Garcia-Hernández, M.T., Gallego, A., “Defect identification in rods subject to forced vibrations using the spatial wavelet transform”, Applied Acoustics, 68: 699-715 (2007).
- Zhu, X.Q., Law, S.S., “Wavelet-based crack identification of brige beam from operational deflection time history”, International Journal of Solids and Structures, 43: 2299-2317 (2006).
- Zhong, S., Oyadiji, S.O., “Crack detection in simply supported beams without baseline modal parameters by stationary wavelet transform”, Mechanical Systems and Signal Processing, 21: 1853-84 (2007).
- Messina, A., “Refinements of damage detection methods based on wavelet analysis of dynamical shapes”, International Journal of Solids and Structures, 45: 4068-4097 (2008).
- Addison, P.S., “The illustrated wavelet transform handbook: Introductory theory and applications in science, engineering, medicine and finance”, IOP Publishing Ltd, London, (2002).
- Misiti, M., Misiti, Y., Oppenheim, G., Poggi, J.M., “Wavelet Toolbox 4 User’s Guide”, The Mathworks, Inc, (2007).
- Debnath, L., “Wavelet transforms and their applications”,. Birkhäuser, Boston, (2002).
- Ewins, D.J., “Modal testing: theory, practice and applications”, Baldock: Research Studies Press Ltd, (2000).
- Mallat, S., “A wavelet tour of signal processing”. Academic Press, London, (1999).
Abstract
References
- Kim, H., Melhem, H. “Damage detection of structures by wavelet analysis”, Engineering Structures, 26: 347-62 (2004).
- Hong, J.C., Kim, Y.Y., Lee, H.C., Lee, Y.W. “Damage detection using the Lipschitz exponent estimated by the wavelet transform: applications to vibration modes of a beam”, International Journal of Solids and Structures, 39: 1803-16 (2002).
- Douka, E., Loutridis, S., Trochidis, A. “Crack identification in beams using wavelet analysis”. International Journal of Solids and Structures, 40: 3557-69 (2003).
- Gentile, A., Messina, A., “On the continuous wavelet transforms applied to discrete vibrational data for detecting open cracks in damaged beams”, International Journal of Solids and Structures, 40: 295-315 (2003).
- Chang, C.C., Chen, L.-W. “Damage detection of a cracked thick rotating blades by a spatial wavelet based approach”, Applied Acoustics, 65: 1095-111 (2004).
- Chang, C.C., Chen, L.W. “Damage detection of a rectangular plate by spatial wavelet based approach”, Applied Acoustics, 65: 819-32 (2004).
- Loutridis, S., Douka, E., Trochidis, A. “Crack identification in double-cracked beams using wavelet analysis”, Journal of Sound and Vibration, 277: 1025-39 (2004).
- Chang, C.C., Chen, L.W., “Detection of the location and size of cracks in the multiple cracked beam by spatial wavelet based approach”, Mechanical Systems and Signal Processing. 19: 139-55 (2005).
- Rucka, M., Wilde, K., “Application of continuous wavelet transform in vibration based damage detection method for beams and plates”, Journal of Sound and Vibration, 297: 536-50 (2006).
- Castro, E., Garcia-Hernández, M.T., Gallego, A., “Damage detection in rods by means of the wavelet analysis of vibrations: Influence of the mode order”, Journal of Sound and Vibration, 296: 1028-1038 (2006).
- Castro, E., Garcia-Hernández, M.T., Gallego, A., “Defect identification in rods subject to forced vibrations using the spatial wavelet transform”, Applied Acoustics, 68: 699-715 (2007).
- Zhu, X.Q., Law, S.S., “Wavelet-based crack identification of brige beam from operational deflection time history”, International Journal of Solids and Structures, 43: 2299-2317 (2006).
- Zhong, S., Oyadiji, S.O., “Crack detection in simply supported beams without baseline modal parameters by stationary wavelet transform”, Mechanical Systems and Signal Processing, 21: 1853-84 (2007).
- Messina, A., “Refinements of damage detection methods based on wavelet analysis of dynamical shapes”, International Journal of Solids and Structures, 45: 4068-4097 (2008).
- Addison, P.S., “The illustrated wavelet transform handbook: Introductory theory and applications in science, engineering, medicine and finance”, IOP Publishing Ltd, London, (2002).
- Misiti, M., Misiti, Y., Oppenheim, G., Poggi, J.M., “Wavelet Toolbox 4 User’s Guide”, The Mathworks, Inc, (2007).
- Debnath, L., “Wavelet transforms and their applications”,. Birkhäuser, Boston, (2002).
- Ewins, D.J., “Modal testing: theory, practice and applications”, Baldock: Research Studies Press Ltd, (2000).
- Mallat, S., “A wavelet tour of signal processing”. Academic Press, London, (1999).
Details
| Primary Language | English |
|---|---|
| Journal Section | Mechanical Engineering |
| Authors | |
| Publication Date | July 6, 2010 |
| Published in Issue | Year 2010 Volume: 23 Issue: 3 |