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On the acoustic black-hole effect in waveguides
Umeå University, Faculty of Science and Technology, Department of Computing Science.
Umeå University, Faculty of Science and Technology, Department of Computing Science.ORCID iD: 0000-0003-0473-3263
Department of Mathematics and Computer Science, Karlstad University, Karlstad, Sweden.ORCID iD: 0000-0001-8704-9584
2021 (English)In: Journal of the Acoustical Society of America, ISSN 0001-4966, E-ISSN 1520-8524, Vol. 149, no 4, article id A108Article in journal, Meeting abstract (Refereed) Published
Abstract [en]

The acoustic black-hole (ABH) effect is a well-known way of controlling structural vibrations in solid beams and plates. The theory behind this effect is to reduce the velocity of waves by altering the physical properties of the domain according to a power-law profile. For an ideal ABH, this leads to vanishing reflections from the end of the termination. In practice, there will be a truncation in the profile, which leads to some reflections. A well-known way of minimizing this truncation error is to add damping material to the end of the ABH termination.

For a waveguide embedding a set of rings with retarding inner radius according to a power-law profile, the velocity of sound waves tends to zero. However, unlike the structural counterpart, experimental results in the literature show that adding damping material to reduce the truncation error is not effective for waveguides. Here, we present a finite element simulation of the considered cylindrical setup. Our results confirm that the addition of damping material to the end of the waveguide is ineffective while suggesting that the local absorption effects at the lateral surface of the cylinder are a primary source of damping to achieve the ABH effect.

Place, publisher, year, edition, pages
Acoustical Society of America (ASA), 2021. Vol. 149, no 4, article id A108
Keywords [en]
Acoustic black-hole, finite element method, acoustic waveguide
National Category
Computational Mathematics Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:umu:diva-189729DOI: 10.1121/10.0004664OAI: oai:DiVA.org:umu-189729DiVA, id: diva2:1612909
Conference
ASA 2021, The 180th Meeting of the Acoustical Society of America, Acoustics in Focus, Virtual, June 8-10, 2021
Available from: 2021-11-19 Created: 2021-11-19 Last updated: 2021-11-22Bibliographically approved

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Mousavi, AbbasBerggren, MartinWadbro, Eddie

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CiteExportLink to record
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