Lamb wave scattering, conversion and resonances in an elastic layered waveguide with a surface-bonded rectangular block
Publication date
2019
Document type
Research article
Author
Golub, Mikhail V.
Eremin, Artem
Shpak, Alisa N.
Lammering, Rolf
Organisational unit
ISSN
Series or journal
Applied Acoustics
Periodical volume
155
First page
442
Last page
452
Part of the university bibliography
✅
Keyword
Boundary Integral Equation
Diffraction
Frequency Domain Analysis
Abstract
Numerical and experimental studies of guided waves diffraction by surface-bonded obstacles of rectangular shape serving as a preliminary model for realistic stiffeners are presented. The simulations are performed within the semi-analytical hybrid approach based on the frequency-domain spectral element method and the boundary integral equation method employing integral transforms of Green's matrices. The mathematical model is verified by comparison with the results calculated by the finite element method and with experimental data. The developed hybrid method allows investigating the scattering of each of the excited guided elastic waves separately, so along with the evaluation of diffraction eigenfrequencies, the conversion of Lamb waves at the obstacle is carefully analyzed. Analysis of complex resonance frequencies demonstrates that eigenfrequencies have large absolute values of the imaginary parts, that explains the absence of strong resonances. Nevertheless, eigenfrequencies with smallest absolute values of imaginary part pronounce themselves in resonance scattering of Lamb waves. © 2019 Elsevier Ltd
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