Journal ArticleDOI
Simple discontinuities in acoustic waveguides at low frequencies: Critical analysis and formulae
J. Kergomard,A. Garcia +1 more
TLDR
In this paper, the variational method of Schwinger is applied to reach qualitative conclusions regarding the effects of symmetrical discontinuities (change in cross-section, diaphragm of zero thickness) in acoustic waveguides.About:
This article is published in Journal of Sound and Vibration.The article was published on 1987-05-08. It has received 121 citations till now. The article focuses on the topics: Discontinuity (linguistics) & Classification of discontinuities.read more
Citations
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Journal ArticleDOI
Rainbow-trapping absorbers: Broadband, perfect and asymmetric sound absorption by subwavelength panels for transmission problems
TL;DR: This work reports quasi-perfect sound absorption over almost two frequency octaves ranging from 300 to 1000 Hz for a panel composed of 9 resonators with a total thickness of 11 cm, i.e., 10 times smaller than the wavelength at 300 Hz.
Journal ArticleDOI
Use of complex frequency plane to design broadband and sub-wavelength absorbers.
TL;DR: The reflection of sound of frequency below 1 kHz, by a rigid-backed structure that contains sub-wavelength resonators is studied, and a method of analysis of absorption that uses the structure of the reflection coefficient in the complex frequency plane is proposed.
Journal ArticleDOI
Radiation impedance of tubes with different flanges: numerical and experimental investigations
TL;DR: In this article, the end corrections for open-ended cylindrical tubes are determined theoretically and experimentally for the zero and low frequencies, the wave equation is solved numerically by using a finite difference method.
Journal ArticleDOI
Limits of slow sound propagation and transparency in lossy, locally resonant periodic structures
TL;DR: In this article, the authors investigate sound propagation in lossy, locally resonant periodic structures by studying an air-filled tube periodically loaded with Helmholtz resonators and taking into account the intrinsic viscothermal losses.
Journal ArticleDOI
Circular asymmetric Helmholtz resonators
Ahmet Selamet,Z. L. Ji +1 more
TL;DR: Predictions of resonance frequency and transmission loss from the present 3D and corrected 1D analytical approaches are identical and close to the BEM results, while the correcting 1D approach provides a better accuracy compared to the 1D solutions with Ingard's correction.
References
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Journal ArticleDOI
On the Radiation of Sound from an Unflanged Circular Pipe
TL;DR: In this article, a rigorous and explicit solution for the problem of sound radiation from an unflanged circular pipe, assuming axially symmetric excitation, was obtained for the wave-length range of dominant mode (plane wave) propagation in the pipe.
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On the Theory and Design of Acoustic Resonators
TL;DR: In this paper, the effect of different aperture geometries on the resonance frequency of resonators is considered and illustrated by examples, considering losses due to viscosity, heat conduction, and radiation, the optimum design for maximum resonance absorption is analyzed, and the results are expressed in terms of design charts.
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Solution of Waveguide Discontinuities by Modal Analysis
TL;DR: In this paper, a general method is presented for analysis of waveguide junctions and diaphragms by summing normal modes of propagation, giving solutions for the resulting scattered modes because interaction effects of dominant and higher-order modes between discontuities are allowed, finite-length obstructions can be studied.
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The Analogous Acoustical Impedance for Discontinuities and Constrictions of Circular Cross Section
TL;DR: In this article, it was shown that the effect of the discontinuity is to introduce an inductance in series with the acoustical transmission system, which can be interpreted physically as an increase in the equivalent length of the tube.