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Application of discrete wavelet transformation to defect detection in truss structures with rigidly connected bars

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Języki publikacji
EN
Abstrakty
EN
The structures examined in this paper are bridge-type trusses that were previously used as railway viaduct support structures. The considered trusses are modelled as 2D and 3D structures. The lower chord bar of the considered structure can be loaded by external forces located outside the rigid nodes (the points where truss bars are connected). Hence, in the numerical experiment in terms of 2D approach, the truss structure consists of the set of two-node beam finite elements with three degrees of freedom per node and exact shape functions. According to 3D approach, the truss is described as the set of two-node beam elements with six degrees of freedom per node. Axial and twisting displacements of the element are described by linear shape functions and the bending is described by polynomials of the third order corresponding to Euler-Bernoulli beam fields of deformation. The defect (damage) in truss structure is modelled as the local stiffness reduction of one or two lower chord bars. The analysis of a structural response is carried out using the discrete wavelet transformation (DWT). The aim if this work is to detect the localization of damage provided that it exists in the considered structure and to examine whether the DWT will prove to be the effective tool to defect detection. It is expected that the disturbance of the response signal will appear in the vicinity of the point where the defect exists. The family of Daubechies 4 wavelet is implemented. Numerical investigation is executed based on signal analysis of structural static response. Some numerical examples are presented.
Rocznik
Strony
157--170
Opis fizyczny
Bibliogr. 19 poz. rys., wykr.
Twórcy
  • Institute of Structural Engineering Poznań University of Technology Piotrowo 5, 60-965 Poznań, Poland
autor
  • Institute of Structural Engineering Poznań University of Technology Piotrowo 5, 60-965 Poznań, Poland
  • Institute of Structural Engineering Poznań University of Technology Piotrowo 5, 60-965 Poznań, Poland
Bibliografia
  • 1. 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.
  • 2. 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): 1–18, 2005.
  • 3. 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.
  • 4. 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.
  • 5. 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.
  • 6. 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. 170 A. KNITTER-PIĄTKOWSKA et al.
  • 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, 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. Viola E., Bocchini P., Non-destructive parametric system identification and damage detection in truss structures by static tests, Structure and Infrastructure Engineering: Maintenance, Management, Life-Cycle Design and Performance, 9(5): 384–402, 2013.
  • 13. Garcia-Perez A., Amezquita-Sanchez J.P., Dominguez-Gonzalez A., Sedaghati R., Osornio-Rios R., Romero-Troncoso R.J., Fused empirical mode decomposition and wavelets for locating combined damage in a truss-type structure through vibration analysis, Journal of Zhejiang University SCIENCE A: Applied Physics and Engineering, 14(9): 615–630, 2013.
  • 14. Wang G.-P., Hong Y., Hong D.-P., Kim Y.-M., Damage detection of truss-like structures using wavelet transforms, Modern Physics Letters B, 22(11): 1165–1170, 2008.
  • 15. Wang Q., Liu H., Wang Q., Identification of fracture damage of the space truss structure based on the combined application of wavelet analysis and strain mode method, Applied Mechanics and Materials, 351–352: 1130–1137, 2013.
  • 16. 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.
  • 17. Strang G., Nguyen T., Wavelets and filter banks, Wellesley-Cambridge Press, Wellesley, 1996.
  • 18. Ziopaja K., Guminiak M., An application of discrete wavelet transformation to damage detection in beams resting on elastic supports [in Polish], Archives of Institute of Civil Engineering, 18: 241–252, Poznan University of Technology Publishing House, 2014.
  • 19. 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, 2014, Zakopane, Poland.
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-bf22ac1e-cff2-4bf5-86c2-d4bef11a4b33
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