Journal of Theoretical
and Applied Mechanics
56, 3, pp. 631-644, Warsaw 2018
DOI: 10.15632/jtam-pl.56.3.631

Selected problems of damage detection in internally supported plates using one-dimensional Discrete Wavelet Transform

Michał Guminiak, Anna Knitter-Piątkowska
The paper is concerned with damage detection in plates while using the Discrete Wavelet
Transform (DWT). Rectangular plate structures resting on a Winkler or elastic half-space
type foundation, with free boundaries are examined. Plate bending is described and solved
by the Boundary Element Method in a direct approach. Defects are introduced by additional
edges forming slots in relation to the basic plate domain. Numerical investigation is
conducted basing on signal analysis of the structural static response and by taking advantage
of multi-resolution analysis (MRA) of the signal function which can be represented in a
multi-scale manner. The obtained signal is decomposed with the use of Daubechies or Coiflet
wavelet families. The white noise generator is used to model measurement inaccuracy which
is an inevitable element of a real experiment. The efficiency of DWT of the contaminated
signal in damage detection is studied.
Keywords: Kirchhoff plates, Boundary Element Method, Discrete Wavelet Transform

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