Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Wavelet-based damage detection method for a beam-type structure carrying moving mass

  • Gokdag, Hakan (Department of Mechanical Engineering, Uludag University)
  • Received : 2010.02.15
  • Accepted : 2010.12.09
  • Published : 2011.04.10
⟨ Previous Next ⟩

Abstract

In this research, the wavelet transform is used to analyze time response of a cracked beam carrying moving mass for damage detection. In this respect, a new damage detection method based on the combined use of continuous and discrete wavelet transforms is proposed. It is shown that this method is more capable in making damage signature evident than the traditional two approaches based on direct investigation of the wavelet coefficients of structural response. By the proposed method, it is concluded that strain data outperforms displacement data at the same point in revealing damage signature. In addition, influence of moving mass-induced terms such as gravitational, Coriolis, centrifuge forces, and pure inertia force along the deflection direction to damage detection is investigated on a sample case. From this analysis it is concluded that centrifuge force has the most influence on making both displacement and strain data damage-sensitive. The Coriolis effect is the second to improve the damage-sensitivity of data. However, its impact is considerably less than the former. The rest, on the other hand, are observed to be insufficient alone.

Keywords

References

  1. Addison, P.S. (2002), The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance, IOP Publishing Ltd., London.
  2. Ariaei, A., Ziaei-Rad, S. and Ghayour, M. (2009), "Vibration analysis of beams with open and breathing cracks subjected to moving masses", J. Sound Vib., 326, 709-724. https://doi.org/10.1016/j.jsv.2009.05.013
  3. Bilello, C. and Bergman, L.A. (2004), "Vibration of damaged beam under a moving mass: theory and experimental validation", J. Sound Vib., 274, 567-582. https://doi.org/10.1016/j.jsv.2003.01.001
  4. Debnath, L. (2002), Wavelet Transforms and Their Applications, Birkhauser, Boston.
  5. Douka, E., Loutridis, S. and Trochidis, A. (2003), "Crack identification in beams using wavelet analysis", Int. J. Solids Struct., 40, 3557-3569. https://doi.org/10.1016/S0020-7683(03)00147-1
  6. Ewins, D.J. (2000), Modal Testing: Theory, Practice and Applications, Research Studies Press Ltd., Baldock.
  7. Fryba, L. (1999), Vibration of Solids and Structures Under Moving Loads, Thomas Telford Ltd., Prague.
  8. Gokdag, H. (2008), "Application of continuous wavelet transform to detect damage in thin-walled beams coupled in bending and torsion", Struct. Eng. Mech., 29(3), 351-354. https://doi.org/10.12989/sem.2008.29.3.351
  9. Gokdag, H. and Kopmaz, O. (2009), "A new damage detection approach for beam-type structures based on the combination of continuous and discrete wavelet transforms", J. Sound Vib., 324, 1158-1180. https://doi.org/10.1016/j.jsv.2009.02.030
  10. Gokdag, H. and Kopmaz, O. (2010), "A new structural damage detection index based on analyzing vibration modes by the wavelet transform", Struct. Eng. Mech., 35(2), 257-260. https://doi.org/10.12989/sem.2010.35.2.257
  11. Hong, J.C., Kim, Y.Y., Lee, H.C. and Lee, Y.W. (2002), "Damage detection using the Lipschitz exponent estimated by the wavelet transform: applications to vibration modes of a beam", Int. J. Solids Struct., 39, 1803-1816. https://doi.org/10.1016/S0020-7683(01)00279-7
  12. Kim, H. and Melhem, H. (2004), "Damage detection of structures by wavelet analysis", Eng. Struct., 26, 347-362. https://doi.org/10.1016/j.engstruct.2003.10.008
  13. Lin, H.P. and Chang, S.C. (2006), "Forced responses of cracked cantilever beams subjected to a concentrated moving load", Int. J. Mech. Sci., 48, 1456-1463. https://doi.org/10.1016/j.ijmecsci.2006.06.014
  14. Loutridis, S., Douka, E., Hadjileontiadis, L.J. and Trochidis, A. (2005), "A two-dimensional wavelet transform for detection of cracks in plates", Eng. Struct., 27, 1327-1338. https://doi.org/10.1016/j.engstruct.2005.03.006
  15. Mahmoud, M.A. (2001), "Effect of cracks on the dynamic response of a simple beam subject to a moving load", Proc. Ins. Mech. Eng., 215, 207-215.
  16. Mahmoud, M.A. and Abou Zaid, M.A. (2002), "Dynamic response of a beam with a crack subject to a moving load", J. Sound Vib., 256(4), 591-603. https://doi.org/10.1006/jsvi.2001.4213
  17. Messina, A. (2008), "Refinements of damage detection methods based on wavelet analysis of dynamical shapes", Int. J. Solids Struct., 45, 4068-4097. https://doi.org/10.1016/j.ijsolstr.2008.02.015
  18. Misiti, M., Misiti, Y., Oppenheim, G. and Poggi, J. (2007), Wavelet Toolbox 4 (Ver. 4.1 Rel.2007b) Use's Guide, Natick, The MathWorks, MA, USA.
  19. Rao, G.V. (2000), "Linear dynamics of an elastic beam under moving loads", J. Vib. Acoust.-ASME, 122, 281-289. https://doi.org/10.1115/1.1303822
  20. Rucka, M. and Wilde, K. (2006), "Application of continuous wavelet transform in vibration based damage detection method for beams and plates", J. Sound Vib., 297, 536-550. https://doi.org/10.1016/j.jsv.2006.04.015
  21. Zhong, S. and Oyadiji, O. (2007), "Crack detection in simply supported beams without baseline modal parameters by stationary wavelet transform", Mech. Syst. Signal Pr., 21, 1853-1884. https://doi.org/10.1016/j.ymssp.2006.07.007
  22. Zhu, X.Q. and Law, S.S. (2006), "Wavelet-based crack identification of bridge beam from operational deflection time history", Int. J. Solids Struct., 43, 2299-2317. https://doi.org/10.1016/j.ijsolstr.2005.07.024

Cited by

  1. A new method to detect cracks in plate-like structures with though-thickness cracks vol.14, pp.3, 2014, https://doi.org/10.12989/sss.2014.14.3.397
  2. Damage Detection Using Measurement Response Data of Beam Structure Subject to a Moving Mass vol.12, pp.12, 2015, https://doi.org/10.1590/1679-78251975
  3. Dynamic analysis and shear connector damage identification of steel-concrete composite beams vol.13, pp.4, 2012, https://doi.org/10.12989/scs.2012.13.4.327
  4. Statistical damage classification method based on wavelet packet analysis vol.46, pp.4, 2013, https://doi.org/10.12989/sem.2013.46.4.459
  5. A Crack Identification Approach for Beam-Like Structures under Moving Vehicle using Particle Swarm Optimization vol.55, pp.2, 2013, https://doi.org/10.3139/120.110412
  6. Bridge Damage Identification from Moving Load Induced Deflection Based on Wavelet Transform and Lipschitz Exponent vol.16, pp.05, 2016, https://doi.org/10.1142/S0219455415500030
  7. Dynamic analysis for cracked fiber-metal laminated beams carrying moving loads and its application for wavelet based crack detection vol.159, 2017, https://doi.org/10.1016/j.compstruct.2016.09.087
  8. A Crack Identification Method for Bridge Type Structures under Vehicular Load Using Wavelet Transform and Particle Swarm Optimization vol.2013, 2013, https://doi.org/10.1155/2013/634217
  9. A simple method to detect cracks in beam-like structures vol.9, pp.4, 2012, https://doi.org/10.12989/sss.2012.9.4.335
  10. Performance evaluation of wavelet and curvelet transforms based-damage detection of defect types in plate structures vol.60, pp.4, 2016, https://doi.org/10.12989/sem.2016.60.4.667
  11. Damage Identification in Bridges by Processing Dynamic Responses to Moving Loads: Features and Evaluation vol.19, pp.3, 2019, https://doi.org/10.3390/s19030463
  12. Comparisons of wavelets and contourlets for vibration-based damage identification in the plate structures pp.2048-4011, 2019, https://doi.org/10.1177/1369433218824903
  13. Wavelet Energy Accumulation Method Applied on the Rio Papaloapan Bridge for Damage Identification vol.9, pp.4, 2011, https://doi.org/10.3390/math9040422
  14. Investigation of a Bridge Mechanical Response by a Joint Innovative Impulsive Energizer and a Wavelet Analysis vol.19, pp.9, 2011, https://doi.org/10.1007/s40999-021-00615-x