Crack identification in plates using 1-D Discrete Wavelet Transform

• Autorzy: Knitter-Piątkowska A. , Guminiak M. , Hloupis G.

Identyfikatory

DOI

10.15632/jtam-pl.55.2.481

• Języki publikacji: EN

Abstrakty

EN

In the present work, the defect detection while using Discrete Wavelet Transform in rectangular plate structures is investigated. The plate bending is described by using the Boundary Element Method with boundary integral equations formulated in a modified simplified approach. The boundary elements of a constant type in a non-singular approach are implemented. Defects are introduced by additional edges forming slots or holes in relation to the basic plate domain. Estimation of the defect position is performed while using wavelet coefficients of curvature and deformation signals as well as a newly proposed moving variance estimator.

Słowa kluczowe

EN

damage detection; crack; plates; wavelet transform; Boundary Element Method

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2017
• Tom: Vol. 55 nr 2
• Strony: 481--496
• Opis fizyczny: Bibliogr. 35 poz., rys., tab.

Twórcy

autor

Knitter-Piątkowska A.

• Poznan University of Technology, Poznań, Poland

autor

Guminiak M.

• Poznan University of Technology, Poznań, Poland

autor

Hloupis G.

• Technological Educational Institute of Athens, Athens, Greece

Bibliografia

• 1. Burczyński T., Kuś W., Długosz A., Orantek P., 2004, Optimization and defect identification using distributed evolutionary algorithms, Engeinnering Applications of Artificial Intelligence, 17, 337-344
• 2. Chang C., Chen L., 2004, Damage detection of a rectangular plate by spatial wavelet based approach, Applied Acoustic, 65, 819-832
• 3. Cohen A., Daubechies J., Feauveau J., 1992, Biorthogonal bases of compactly supported wavelets, Communications on Pure and Applied Mathematics, 45, 485-560
• 4. Daubechies I., 1992, Ten Lectures on Wavelets, Philadelphia: Society for Industrial and Applied Mathematics
• 5. Daubechies I., Sweldens, W., 1998, Factoring wavelet transforms into liftin steps, Journal of Fourier Analysis and Applications, 4, 3
• 6. Dems K., Mróz, Z., 2001, Identification of damage in beam and plate structures using parameterdependent frequency changes, Engineering Computations, 18, 1/2, 96-120
• 7. Douka E., Loutridis S., Trochidis A., 2003, Crack identification in beams using wavelet analysis, International Journal of Solid and Structures, 40, 3557-3569
• 8. Douka E., Loutridis S., Trochidis A., 2004, Crack identification in plates using wavelet analysis, Journal of Sound and Vibration, 270, 279-295
• 9. Garstecki A., Knitter-Piatkowska A., Pozorski Z., Ziopaja K., 2004, Damage detection using parameter dependent dynamic experiments and wavelet transformation, Journal of Engineering and Management, 10, 3, 191-197
• 10. Gentile A., Messina A., 2003, On the continuous wavelet transforms applied to discrete vibrational data for detecting open cracks in damaged beams, International Journal of Solid and Structures, 40, 295-315
• 11. Gros X., 1995, An eddy current approach to the detection of damage caused by low-energy impacts on carbon fiber reinforced materials, Meterials and Design, 16, 3, 167-173
• 12. Guminiak M., 2007, Static analysis of thin plates by the boundary Element Method in a nonsingular approach, Foundations of Civil and Environmental Engineering, 9, 75-93
• 13. Guminiak M., 2014, An alternative approach of initial instability analysis of Kirchhoff plates by the Boundary Element Method, Engineering Trasnactions, 62, 1, 33-59
• 14. Guminiak M., Sygulski R., 2007, Vibrations of plates immersed in compressible fluid by the BEM, 9th International Conference on Modern Building Materials, Structures and Techniques, P.V.M.J. Skibniewski (Edit.), Vilnius, Vilnius Gediminas Technical University Press “Technika”, 1453, 925-930
• 15. Jensen A., la Cour-Harbo A., 2001, Ripplies in Mathematics, Berlin, Springer
• 16. Kim H., Melhem H., 2004, Damage detection in structures by wavelet analysis, Engineering Structures, 26, 347-362
• 17. Knitter-Piatkowska A., Garbowski, T., 2013, Damage detection through wavelet transform and inverse analysis, VI International Conference on Adaptive Modelling and Simulation (ADMOS 2013), J. Moitinho de Almeida, P. Diez, C. Tiago, and N. Pares (Edit.), Barcelona, 389-400
• 18. Knitter-Piątkowska A., Guminiak M., Przychodzki M., 2014, Damage Detection in Truss Structure Being the Part of Historic Railway Viaduct Wavelet Transformation, T. Łodygowski, J. Rakowski and P. Litewka (Edit.), CRC Press/Balkema, Taylor and Francis Group
• 19. Lee J., Seo D.-W., Shoji T., 2004, Numerical consideration of magnetic camera for quantitative nondestructive evaluation, Key Engineering Materials, 270-273, 630-635
• 20. Liew K., Wanq Q., 1998, Application of wavelet theory for crack identification in structures, Journal of Engineering Mechanics, 124, 2, 152-157
• 21. Loutridis S., Douka E., Hadjileontiadis L., Trochidis A., 2005, A two-dimensional wavelet transform for detection of cracks in plates, Engineering Structures, 27, 1327-1338
• 22. Mallat S., 1989, A theory for multiresolution signal decomposition: the wavelet representation, IEEE Transactions on Pattern Analysis and Machine Intelligence, 11, 7, 674-693
• 23. Meyer Y., 1992, Wavelets and Operators. Cambridge Studies in Advanced Mathematics, Cambridge, UK, Cambridge University Press
• 24. Misiti M., Misiti Y., Oppenheim G., Poggi J.M., 2000, Wavelet Toolbox – User’s Guide, Natick, MA, The MathWorks
• 25. Ostachowicz W., Kaczmarczyk S., 2001, Vibrations of composite plates with SMA fibres in a gas stream with defects of the type of delamination, Composite Structures, 54, 305-311
• 26. Ovanesova A., Suarez L., 2004, Applications of wavelet transforms to damage detection in frame structures, Engineering Structures, 26, 39-49
• 27. Quek S., Wanq Q., Zhang L., Ang K., 2001, Sensitivity analysis of crack detection in beams by wavelet technique, International Journal of Mechanical Science, 43, 2899-2910
• 28. Rogers L., 2005, Crack detection using acoustic emission methods – fundamentals and applications, Key Engineering Materials, 293-294, 33-48
• 29. Rucka M., Wilde K., 2004, Numerical simulation of damage detection in rectangular plate by two-dimensional wavelet transform, Proceedings of International Workshop on Simulations in Urban Engineering, Gdańsk, Poland, 205-208
• 30. Shinoba K., Morotomi R., Mukai K., Yoshiara T., Shirai M., Miyamoto H., 2004, Application of digital radiography to aerospace-craft, Key Engineering Materials, 270-273, 1361-1365
• 31. Sweldens W., 1996, The lifting scheme: A custom-design construction of biorthogonal wavelets, Applied and Computational Harmonic Analysis, 3, 2, 186-200
• 32. Wang Q., Deng X., 1999, Damage detection with spatial wavelets, International Journal of Solids and Structures, 36, 3443-3448
• 33. Waszczyszyn Z., Ziemiański L., 2001, Neural networks in mechanics of structures and materials – new results and prospects of applications, Computers and Structures, 79, 2261-2276
• 34. Zhang G., Hu H., Ta D., 2004, Ultrasonic detection of the metallurgical defects in the steel and its evaluation by neural networks based on the wavelet transform noise suppression, Key Engineering Materials, 270-273, 160-167
• 35. Ziopaja K., Pozorski Z., Garstecki A., 2011, Damage detection using thermal experiments and wavelet transformation, Inverse Problems in Science and Engineering, 19, 1, 127-153

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)