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Defect detection in plate structures using wavelet transformation

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper is concerned with defect detection in plate structures while considering the influence of external loads. The examined structures are based on Kirchhoff plate structures. Rectangular plate structures are considered. Plate bending is described using the boundary element method. The boundary and boundary-domain integral equations are formulated in a modified, simplified approach without the need of using a value known from the classical theory of Kirchhoff plate bending. Constant-type boundary elements in a non-singular approach are introduced. The plates are loaded with a single static concentrated force or dynamic moving force. External loading is applied at selected points along the direction parallel to one dimension of the plate. Defects are introduced by additional edges forming slots or holes in relation to the basic plate domain. Deflections and curvatures are taken into account as structural responses. Analysis of structural responses is conducted using the signal processing tool of wavelet transformation in its discrete form.
Rocznik
Strony
139--156
Opis fizyczny
Bibliogr. 19 poz., rys., wykr.
Twórcy
  • Institute of Structural Engineering Poznań University of Technology Piotrowo 5, 60-965 Poznań
autor
  • Institute of Structural Engineering Poznań University of Technology Piotrowo 5, 60-965 Poznań
Bibliografia
  • 1. Mróz Z., Garstecki A., Optimal loading conditions in design and identification of structures. Part 1: Discrete formulation, International Journal of Structural and Multidisciplinary Optimization, 29(1): 11–18, 2005.
  • 2. Dems K., Mróz Z., Identification of damage in beam and plate structures using parameter dependent frequency changes, Engineering Computation, 18(1/2): 96–120, 2001.
  • 3. Ziopaja K., Pozorski Z., Garstecki A., Damage detection using thermal experiments and wavelet transformation, Inverse Problems in Science and Engineering, 19(1): 127–153, 2011.
  • 4. Garbowski T., Maier G., Novati G., Diagnosis of concrete dams by flat-jack tests and inverse analysis based on proper orthogonal decomposition, Journal of Mechanics of Materials and Structures, 6(1–4): 181–202, 2011.
  • 5. Knitter-Piątkowska A., Garbowski T., Damage detection through wavelet decomposition and soft computing, International Conference on Adaptive Modelling and Simulation ADMOS 2013, Lisbon, Portugal, June 3–5, 2013, peer-review article in proceeding, J.P. Moitinho de Almeida, P. D´ıez, C. Tiago, N. Par´es [Eds.], CIMNE Barcelona, pp. 389–400, 2013.
  • 6. Burczyński T., Kuś W., Długosz A., Orantek P., Optimization and defect identi- fication using distributed evolutionary algorithms, Engineering Applications of Artificial Intelligence, 17(4): 337–344, 2004.
  • 7. Rucka M., Wilde K., Neuro-wavelet damage detection technique in beam, plate and shell structures with experimental validation, Journal of Theoretical and Applied Mechanics, 48(3): 579–604, 2010.
  • 8. Waszczyszyn Z., Ziemiański L., Neural networks in mechanics of structures and materials – new results and prospects of application, Computers and Structures, 79(22–25): 2261–2276, 2001.
  • 9. Wang Q., Deng X., Damage detection with spatial wavelets, International Journal of Solids and Structures, 36(23): 3443–3468, 1999.
  • 10. Knitter-Piątkowska A., Pozorski Z., Garstecki A., Application of discrete wavelet transformation in damage detection. Part I: Static and dynamic experiments, Computer Assisted Mechanics and Engineering Sciences, 13(1): 21–38, 2006.
  • 11. Knitter-Piątkowska A., Guminiak M., Przychodzki M., Damage detection in truss structure being the part of historic railway viaduct using wavelet transformation, [in:] Recent Advances in Computational Mechanics, CRC Press/Balkema, Taylor and Francis Group, T. Łodygowski, J. Rakowski, P. Litewka [Eds.], pp. 157–163, 2014.
  • 12. Knitter-Piątkowska A., Guminiak M., Damage detection in plate structures using wavelet transformation, Proceedings of 39th Solid Mechanics Conference, SOLMECH– 2014, Book of Abstracts, pp. 157–158, September 1–5, Zakopane, Poland, 2014.
  • 13. Mallat S.G., A theory for multiresolution signal decomposition: The wavelet representation, IEEE Transactions on Pattern Analysis and Machine Intelligence, 11(7): 674–693, 1998.
  • 14. Strang G., Nguyen T., Wavelets and filter banks, Wellesley-Cambridge Press, Wellesley, 1996. 156 A. KNITTER-PIĄTKOWSKA, M. GUMINIAK
  • 15. Guminiak M., Static analysis of thin plates by the Boundary Element Method in a nonsingular approach, Foundations of Civil and Environmental Engineering, 9: 75–93, 2007.
  • 16. Guminiak M., Sygulski R., Vibrations of plates immersed in compressible fluid by the BEM, Proceedings of 9th International Conference Modern Building Materials, Structures And Techniques, Vilnius, May 16–18, 2007, Selected Papers, Vilnius Gediminas Technical University Press “Technika” scientific book 1435, pp. 925–930, 2007, M.J. Skibniewski, P. Vainiunas and E.K. Zavadskas [Eds.].
  • 17. Guminiak M., Sygulski R., Vibrations of system of plates immersed in fluid by BEM, Proceedings of III European Conference on Computational Mechanics, Solids, Structures and Coupled Problems in Engineering ECCM–2006, June 5–9, 2006, Lisbon, Portugal. Springer 2006, C.A. Mota Soares, J.A.C. Rodrigues, J.A.C. Ambrósio, C.A.B. Pina, C.M. Mota Soares, E.B.R. Pereira, J. Folgado [Eds.], p. 211, CD enclosed.
  • 18. Guminiak M., An alternative approach of initial stability analysis of Kirchhoff plates by the Boundary Element Method, Engineering Transactions, 62(1): 33–59, 2014.
  • 19. B`ezine G., Gamby D.A., A new integral equation formulation for plate bending problems, [in:] Recent Advances in Boundary Element Method, C.A. Brebbia [Ed.], Pentech Press, London, 1978.
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-dd3be969-83db-4a20-bb9f-244b36d1f871
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