Journal
JOURNAL OF SOUND AND VIBRATION
Volume 520, Issue -, Pages -Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jsv.2021.116586
Keywords
Wavenumber extraction; Dispersion curves; Inverse method; Periodic structures; Wave propagation; One-dimensional vibroacoustics; Two-dimensional vibroacoustics; Waveguide
Categories
Funding
- Early Stage Researcher grant within the European Project VIPER Marie Curie Initial Training Network [GA 675441]
- European Union [797034]
- Research Foundation-Flanders (FWO), Belgium
- ICON project DETECT-ION, Belgium
- SIM, Belgium (Strategic Initiative Materials in Flanders)
- VLAIO, Belgium (Flemish government agency Flanders Innovation & Entrepreneurship)
- Marie Curie Actions (MSCA) [797034] Funding Source: Marie Curie Actions (MSCA)
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This paper proposes an inverse convolution method (INCOME) for extracting wave features in elastic media and identifying wave dispersion characteristics. The method can be used in both 1D and 2D structures, and it estimates the full k-space by solving a linear problem. Numerical tests demonstrate the effectiveness of INCOME for structured inputs with periodic characteristics.
This paper deals with the extraction of wave features in elastic media. An inverse approach is proposed for the identification of wave dispersion characteristics (e.g. k-space) in one-and two-dimensional structures (1D, 2D). The proposed method is similar to the ESPRIT algorithm and the Prony series method and can be considered as an extension of the latter, specifically when applied to 1D problems. By using a convolution framework, the method is extended to the 2D case for which it allows the estimation of the full k-space by solving a linear problem. The method is called INverse COnvolution MEthod (INCOME). The formulation of INCOME is first detailed and mathematically justified. Both the 1D and 2D cases are detailed and explained. Then several examples are presented for assessing the validity domain of INCOME. These numerical tests clearly show the relevance of INCOME for structured inputs with periodic characteristics.
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