Reflection from elastic wedges of different thickness profiles
Reflection from elastic wedges of different thickness profiles
An elastic wedge whose thickness varies with axial position according to a power law can act as an absorber of incident flexural waves and thus as an anechoic termination. Ideally, if the wedge is tapered down to zero thickness, the incident wave slows down to zero propagation velocity at the edge, thus never reaching the boundary, and, so, not undergoing reflection. In practice, however, a small truncation of the wedge always occurs, due to manufacturing restrictions, leading to non-zero thickness at the edge, so that some reflection does occur. In this paper, alternative thickness profiles are examined, such as the power-cosine, the exponential and the Gaussian profile, the latter two inevitably having a truncation within a finite length. A method based on the WKB approximation is used in order to calculate the reflection coefficient of a structure comprising a wedge connected to a uniform plate. Higher-order WKB approximations are also applied. Results are compared with those from a Finite Element analysis.
Karlos, Angelis
ed53f118-9719-4f58-a1eb-bd4d67df3a27
Elliott, Stephen
721dc55c-8c3e-4895-b9c4-82f62abd3567
Cheer, Jordan
8e452f50-4c7d-4d4e-913a-34015e99b9dc
17 September 2018
Karlos, Angelis
ed53f118-9719-4f58-a1eb-bd4d67df3a27
Elliott, Stephen
721dc55c-8c3e-4895-b9c4-82f62abd3567
Cheer, Jordan
8e452f50-4c7d-4d4e-913a-34015e99b9dc
Karlos, Angelis, Elliott, Stephen and Cheer, Jordan
(2018)
Reflection from elastic wedges of different thickness profiles.
International Conference on Noise & Vibration Engineering (ISMA) 2018, , Leuven, Belgium.
17 - 19 Sep 2018.
14 pp
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
An elastic wedge whose thickness varies with axial position according to a power law can act as an absorber of incident flexural waves and thus as an anechoic termination. Ideally, if the wedge is tapered down to zero thickness, the incident wave slows down to zero propagation velocity at the edge, thus never reaching the boundary, and, so, not undergoing reflection. In practice, however, a small truncation of the wedge always occurs, due to manufacturing restrictions, leading to non-zero thickness at the edge, so that some reflection does occur. In this paper, alternative thickness profiles are examined, such as the power-cosine, the exponential and the Gaussian profile, the latter two inevitably having a truncation within a finite length. A method based on the WKB approximation is used in order to calculate the reflection coefficient of a structure comprising a wedge connected to a uniform plate. Higher-order WKB approximations are also applied. Results are compared with those from a Finite Element analysis.
Text
Angelis Karlos, ISMA2018 paper
- Accepted Manuscript
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Published date: 17 September 2018
Venue - Dates:
International Conference on Noise & Vibration Engineering (ISMA) 2018, , Leuven, Belgium, 2018-09-17 - 2018-09-19
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Local EPrints ID: 424971
URI: http://eprints.soton.ac.uk/id/eprint/424971
PURE UUID: ace1b02a-869f-4efa-81d5-f5e7970d3589
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Date deposited: 08 Oct 2018 16:30
Last modified: 16 Mar 2024 04:05
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Author:
Angelis Karlos
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