DOI QR코드

DOI QR Code

Damage detection in beams and plates using wavelet transforms

  • Rajasekaran, S. (Infrastructure Engineering, PSG College of Technology) ;
  • Varghese, S.P. (Infrastructure Engineering, PSG College of Technology)
  • Received : 2005.01.19
  • Accepted : 2005.11.24
  • Published : 2005.12.25

Abstract

A wavelet based approach is proposed for structural damage detection in beams, plate and delamination of composite plates. Wavelet theory is applied here for crack identification of a beam element with a transverse on edge non-propagating open crack. Finite difference method was used for generating a general displacement equation for the cracked beam in the first example. In the second and third example, damage is detected from the deformed shape of a loaded simply supported plate applying the wavelet theory. Delamination in composite plate is identified using wavelet theory in the fourth example. The main concept used is the breaking down of the dynamic signal of a structural response into a series of local basis function called wavelets, so as to detect the special characteristics of the structure by scaling and transformation property of wavelets. In the light of the results obtained, limitations of the proposed method as well as suggestions for future work are presented. Results show great promise of wavelet approach for damage detection and structural health monitoring.

Keywords

References

  1. Anonymous (1993), "FEASTC reference manual" .
  2. Alsberg, B. K., Woodward, A. M. and Kell, D. B. (1997), "An introduction to wavelet transforms for chemometricians: A time frequency approach", Chemometrics and Intelligent Laboratory Systems, 37(2), 215-239. https://doi.org/10.1016/S0169-7439(97)00029-4
  3. Arivazhagan, S. and Ganesan, L. (2003), "Texture classification using wavelet transform", Pattern Recognition Letters 24, (Elsevier Science), 1513-1521. https://doi.org/10.1016/S0167-8655(02)00390-2
  4. Christian, B. (2003), Wavelets-A Primer, Universities Press pvt Ltd, Hyderbad.
  5. Corbin, M., Adriana, H. and Zhikun, H. "Locating damage regions using wavelet approach", Research paper from Worchester Polytechnic Institute, Department of Mechanical Engineering, USA. Email - hou@wpi.edu.
  6. Douka, E, Loutridis, S and Trochidis, A. (2003), "Crack identification in beams using wavelet analysis", Int. J. Solids and Struct., 40, 3557-3569. https://doi.org/10.1016/S0020-7683(03)00147-1
  7. Hera, A. and Hou, Z. (2004), "Application of wavelet approach for ASCE structural health monitoring benchmark studies", J. Eng. Mech., 96-103, Jan.
  8. Hou, Z., Noori, M. and Amand, R. (2000), St. "Wavelet based approach for structural damage detection", J. Eng. Mech., 7, 677-683, July.
  9. Liew, K. M. and Wang, Q. (1998), "Application of wavelet theory for crack identification in structures", J. Eng. Mech., 152-156, Feb.
  10. Ovanesova, A. V. (1999), "Wavelet application to structural dynamics", Proceedings of CRC-99, Puerto Rico, December.
  11. Ovanesova, A. V. and Suarez, L. E. (2004), "Application of wavelet transforms to damage detection in frame structures", Eng. Struct., 26, 39-49. https://doi.org/10.1016/j.engstruct.2003.08.009
  12. Rao, M. Raghuveer and Bopardikar, S. Ajit (1998), "Wavelet transforms-introduction to theory and applications", Pearson Education Ltd, Singapore.
  13. Seungcheol, S, and Roman, D.H. (2004), "Wavelet analysis of soil mass images for particle size determination", J. Computing Civ. Eng., 19-27, jan.
  14. www.wavelet.org
  15. http//.wavelettutorial/robipolikar/rowan(tutorials)
  16. www.matworks.com
  17. www.amara.com/current/wavelet.html
  18. http//.perso.wanadoo.fr/polyvalens/clemens/wav

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. Performance of Vibration Based Damage Detection Algorithms for Detection of Disbond in Stiffened Metallic Plates vol.144, 2016, https://doi.org/10.1016/j.proeng.2016.05.030
  3. Application of entropy in identification of breathing cracks in a beam structure: Simulations and experimental studies 2017, https://doi.org/10.1177/1475921717704626
  4. The State-of-the-Art on Framework of Vibration-Based Structural Damage Identification for Decision Making vol.7, pp.5, 2017, https://doi.org/10.3390/app7050497
  5. Development in vibration-based structural damage detection technique vol.21, pp.5, 2007, https://doi.org/10.1016/j.ymssp.2006.10.002
  6. Numerical comparison of the beam model and 2D linearized elasticity vol.33, pp.5, 2009, https://doi.org/10.12989/sem.2009.33.5.621
  7. Identification of reinforced concrete beam-like structures subjected to distributed damage from experimental static measurements vol.5, pp.1, 2008, https://doi.org/10.12989/cac.2008.5.1.037
  8. Performance evaluation of damage detection algorithms for identification of debond in stiffened metallic plates using a scanning laser vibrometer 2017, https://doi.org/10.1177/1077546316687956
  9. A simple method to detect cracks in beam-like structures vol.9, pp.4, 2005, https://doi.org/10.12989/sss.2012.9.4.335
  10. Combined effects of material properties and boundary conditions on the large deflection bending analysis of circular plates on a nonlinear elastic foundation vol.25, pp.6, 2020, https://doi.org/10.12989/cac.2020.25.6.537
  11. Towards an Integrated Approach to Infrastructure Damage Assessment in the Aftermath of Natural Hazards vol.11, pp.10, 2005, https://doi.org/10.3390/buildings11100450