The active minimization of harmonic enclosed sound fields, part I: Theory
The active minimization of harmonic enclosed sound fields, part I: Theory
An analysis is presented of the effectiveness with which active methods can be used for producing global reductions in the amplitude of the pressure fluctuations in a harmonically excited enclosed sound field. The total time averaged acoustic potential energy is expressed as a quadratic function of the complex strengths of a number of secondary sources of sound introduced into the enclosure. For a given number and location of secondary sources, there is a unique set of source strengths which determines the minimum value of this function. The analysis is applied to the case of a lightly damped enclosure excited by a point primary source at a frequency above the Schroeder cut-off frequency. It is demonstrated that substantial reductions in the total time averaged acoustic potential energy are possible only if the secondary sources of sound are located at a distance from the primary source which is less than half a wavelength at the frequency of interest.
1-13
Nelson, P. A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
Curtis, A. R.D.
79ce7e69-6528-4453-ac93-9f80c0bfc340
Elliott, S. J.
721dc55c-8c3e-4895-b9c4-82f62abd3567
Bullmore, A. J.
320a3079-679c-4ef0-97ab-7bb0c632e9ad
22 August 1987
Nelson, P. A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
Curtis, A. R.D.
79ce7e69-6528-4453-ac93-9f80c0bfc340
Elliott, S. J.
721dc55c-8c3e-4895-b9c4-82f62abd3567
Bullmore, A. J.
320a3079-679c-4ef0-97ab-7bb0c632e9ad
Nelson, P. A., Curtis, A. R.D., Elliott, S. J. and Bullmore, A. J.
(1987)
The active minimization of harmonic enclosed sound fields, part I: Theory.
Journal of Sound and Vibration, 117 (1), .
(doi:10.1016/0022-460X(87)90432-9).
Abstract
An analysis is presented of the effectiveness with which active methods can be used for producing global reductions in the amplitude of the pressure fluctuations in a harmonically excited enclosed sound field. The total time averaged acoustic potential energy is expressed as a quadratic function of the complex strengths of a number of secondary sources of sound introduced into the enclosure. For a given number and location of secondary sources, there is a unique set of source strengths which determines the minimum value of this function. The analysis is applied to the case of a lightly damped enclosure excited by a point primary source at a frequency above the Schroeder cut-off frequency. It is demonstrated that substantial reductions in the total time averaged acoustic potential energy are possible only if the secondary sources of sound are located at a distance from the primary source which is less than half a wavelength at the frequency of interest.
This record has no associated files available for download.
More information
Published date: 22 August 1987
Additional Information:
Funding Information:
S. J. Elliott and P. A. Nelson are supported by the Science and Engineering Research Council under the Special Replacement Scheme; the Department of Trade and Industry research grant which supports A. R. D. Curtis and A. J. Bullmore also is gratefully acknowledged.
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
Identifiers
Local EPrints ID: 468575
URI: http://eprints.soton.ac.uk/id/eprint/468575
ISSN: 0022-460X
PURE UUID: 61537c1a-74d5-43a0-b067-0f99885cdec5
Catalogue record
Date deposited: 18 Aug 2022 16:40
Last modified: 18 Mar 2024 02:31
Export record
Altmetrics
Contributors
Author:
A. R.D. Curtis
Author:
A. J. Bullmore
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
