Application of discrete wavelet transformation in damage detection. Part I: Static and dynamic experiments

• Autorzy: Knitter-Piątkowska, A. , Pozorski, Z. , Garstecki, A.
• Języki publikacji: EN

Abstrakty

EN

The paper demonstrates the potential of Discrete Wavelet Transform (DWT) in damage detection. Efficiency of the method is demonstrated by the way of examples. In this study the numerically simulated static and dynamic experiments were used. One dimensional DWT was used to signal processing. Measurement errors were accounted for by introduction of white noise.

Słowa kluczowe

PL

transformacja falkowa; fala akustyczna; przetwarzanie sygnałów

EN

damage detection; wavelet transformation

• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2006
• Tom: Vol. 13, No. 1
• Strony: 21-38
• Opis fizyczny: Bibliogr. 28 poz., rys., wykr.

Twórcy

autor

Knitter-Piątkowska, A.

autor

Pozorski, Z.

autor

Garstecki, A.

• Institute of Structural Engineering, Poznań University of Technology, ul. Piotrowo 5, 60-695 Poznań, Poland

Bibliografia

• [1] R.D. Adams, P. Cawley, C.J. Pye, B.J. Stone, A vibration technique for non-destructive assessing the integrity of structures. J. ofMech. Engr. Sci., 20: 93-100, 1978.
• [2] T. Burczyński, P. Orantek, Hybrid evolutionary algorithms aided by sensitivity information in identification and structural optimization. Proc. 2nd ECCM, Kraków, 2001.
• [3] P. Cawley, R.D. Adams, The location of defects in structure from measurements of natural freąuencies. J. Strain Anal, 14: 49-57, 1979.
• [4] CK. Chui, An introduction to Wavelets. Academic Press. Inc., San Diego, 1992.
• [5] I. Daubechies, The wavelet transform, time-frequency localization and signal analysis. IEEE Trans, on Information Theory, 36: 961-1005, 1990.
• [6] I. Daubechies, Ten lectures on wavelets. PA: SI AM, Philadelphia, 1992.
• [7] K. Dems, Z. Mróz, Identification of damage in beam and plate structures using parameter dependent frequency changes. Engineering Computations, 18(1/2): 96-120, 2001.
• [8] S.W. Doebling, CR. Farrar, M.B. Prime, D.W. Shevitz, Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review. Report LA-13070-MS, UC-900, Los Alamos National Laboratory, New Mexico 87545, USA, May, 1996.
• [9] E. Douka, S. Loutridis, A. Trochidis, Crack identification in beams using wavelet analysis. International Journal of Solid and Structures, 40: 3557-3569, 2003.
• [10] H. Furuta, J. He, E. Watanabe, A fuzzy expert system for damage assessment using genetic algorithms and neural networks. Microcomputers in Civil Eng., 11: 37-45, 1996.
• [11] A. Garstecki, A. Knitter-Piątkowska, Z. Pozorski, K. Ziopaja, Damage detection using parameter dependent dynamic experiments and wavelet transformation. J. of Civil Eng. and Management, Vilnius Gediminas Technical University, Lithuania, 10(3): 191-197, September 2004.
• [12] A. Gentile, A. Messina, On the continuous wavelet transform applied to discrete vibrational data for detecting open cracks in damaged beams. International Journal of Solids and Structures, 40: 295-315, 2003.
• [13] W. Glabisz, Identification of linear and non-linear systems with Walsh wavelet packets. Arch. Civ. Mech. Eng., 1: 47-62, 2001.
• [14] W. Glabisz, The use of Walsh-wavelet packets linear boundary value problems. Comput. Struct., 82: 131-141, 2004.
• [15] J.-C Hong, Y.Y. Kim, H.C. Lee, Y.W. Lee, 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: 1803-1816, 2002.
• [16] A. Knitter-Piątkowska, A. Garstecki, Wavelet transformation in damage identification by dynamie tests. Proc. 75th Annual Scientific Conference - GAMM, Dresden, Germany, March 21-27, 2004.
• [17] A. Knitter-Piątkowska, Z. Pozorski, K. Ziopaja, A. Garstecki, Damage detection using dynamie approach and sensitivity analysis. Proc. CMM-2003, Gliwice/Wisła, Poland, June 3-6, 2003.
• [18] M. Krawczuk, Application of spectral beam finite element with a crack and iterative search technique for damage detection. Finite Elements in Analysis and Design, 38: 537-548, 2002.
• [19] J. Lee, R.T. Haftka, O.H.Jr Griffin, L.T. Watson, M.D. Sensmeier, Detecting delaminations in a composite beam using anti-optimization. Struct. Optim., 8: 93-100, 1994.
• [20] S. Mallat, A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans. Pattem Anal. and Machinę Inteli, 11: 674-693, 1989.
• [21] Z. Mróz, A. Garstecki, Optimal loading conditions in design and identification of structures. Part 1: Discrete formulation. Int. J. Struct. and Multidisciplinary Optim., 29: 11-18, 2005.
• [22] Z. Mróz, A. Garstecki, Optimal loading in identification and design of structures. Proc. 2nd WCSMO, (W. Gutkowski, Z. Mróz, Eds.), Zakopane, IFTR, 279-284, 1997.
• [23] D.E. Newland, Random vibrations, spectral a.nd wavelet analysis. 3rd ed., Longman, Harlow and John Wiley, New York 1993.
• [24] M. Palacz, M. Krawczuk, W. Ostachowicz, The spectral finite element model for analysis of flexural-shear coupled wave propagation. Part 1: Laminated multilayer composite. Composite Structres, 68: 37-44, 2005.
• [25] Q. Wang, X. Deng, Damage detection with spatial wavelets. J. Solid and Struct., 36: 3443-3468, 1999.
• [26] W. J. Wang, P.D. McFadden, Application of wavelets to gearbox vibration signals for fault detection. Journal of Sound and Vibration, 192: 927-939, 1996.
• [27] Z. Waszczyszyn, L. Ziemiański, Neural networks in mechanics of structures and materials - new results and prospects of applications. Computers and Structures, 79(22-25): 2261-2276, September, 2001.
• [28] K. Wilde, M. Rucka, Damage detection in rectangular plates by continuous two-dimensional wavelet transformation. Eurodyn 2005 Conference, Paris, France, September 4-7, 2005.