Acoustic waves in a perforated cylinder.

Saved in:
Bibliographic Details
Title: Acoustic waves in a perforated cylinder.
Authors: Skvortsov, Alexei T.1 (AUTHOR) alexei.skvortsov@defence.gov.au, MacGillivray, Ian R.1 (AUTHOR), Godin, Oleg A.2 (AUTHOR)
Source: Journal of the Acoustical Society of America. Mar2025, Vol. 157 Issue 3, p1880-1888. 9p.
Subjects: Sound wave scattering, Helmholtz resonators, Scattering amplitude (Physics), Sound waves, Dispersion relations
Abstract: A lumped parameter approach to the problem of acoustic wave scattering by a perforated cylinder has been presented. The proposed framework enables analytical evaluation of the scattering amplitudes of all harmonics and derivation of the dispersion relations for the guided wave propagating inside the cylinder. The lumped parameter boundary condition enables straightforward estimation of the effect of different perforation patterns on the scattering characteristics and internal resonances of the perforated cylinder. The derived equations were treated analytically and validated numerically. It was demonstrated how the proposed theory can be applied for estimation of the fundamental frequency of a two-dimensional Helmholtz resonator with the complex configurations of openings. The predictions are in good agreement with the previously published results. [ABSTRACT FROM AUTHOR]
Copyright of Journal of the Acoustical Society of America is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
Description
Abstract:A lumped parameter approach to the problem of acoustic wave scattering by a perforated cylinder has been presented. The proposed framework enables analytical evaluation of the scattering amplitudes of all harmonics and derivation of the dispersion relations for the guided wave propagating inside the cylinder. The lumped parameter boundary condition enables straightforward estimation of the effect of different perforation patterns on the scattering characteristics and internal resonances of the perforated cylinder. The derived equations were treated analytically and validated numerically. It was demonstrated how the proposed theory can be applied for estimation of the fundamental frequency of a two-dimensional Helmholtz resonator with the complex configurations of openings. The predictions are in good agreement with the previously published results. [ABSTRACT FROM AUTHOR]
ISSN:00014966
DOI:10.1121/10.0036131