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Non-axisymmetric acoustic radiation from a transversely oscillating rigid sphere above a rigid/compliant planar boundary

Non-axisymmetric acoustic radiation from a transversely oscillating rigid sphere above a rigid/compliant planar boundary
Non-axisymmetric acoustic radiation from a transversely oscillating rigid sphere above a rigid/compliant planar boundary
Harmonic acoustic radiation from a transversely oscillating rigid sphere within a fluid halfspace, while its polar axis is oriented either normal or parallel to the rigid/compliant halfspace boundary, is studied using the classical method of separation of variables. The translational addition theorem for spherical wave functions is initially employed to analyze the non-axisymmetric acoustic coupling between a pair of arbitrarily positioned, axisymmetric, finite-sized spherical sources undergoing harmonic modal surface vibrations in an unbounded acoustic medium.
Subsequently, the method of images is used to efficiently take the presence of the rigid/compliant boundary into account. The analytical results are illustrated with numerical examples in which the spherical source, vibrating in the horizontal-dipole and vertical-dipole modes, is positioned near the rigid (compliant) boundary of a water-filled acoustic halfspace. Subsequently, the basic acoustic field quantities such as the modal acoustic radiation impedance load and the radiation intensity distribution are evaluated for representative values of the parameters characterizing the system.
1610-1928
998-1007
Hasheminejad, Seyyed M.
591bd090-8fbb-4e7c-9f44-9da684f53b6c
Azarpeyvand, Mahdi
1d61e228-84cd-4330-bacd-0b189f0b05df
Hasheminejad, Seyyed M.
591bd090-8fbb-4e7c-9f44-9da684f53b6c
Azarpeyvand, Mahdi
1d61e228-84cd-4330-bacd-0b189f0b05df

Hasheminejad, Seyyed M. and Azarpeyvand, Mahdi (2003) Non-axisymmetric acoustic radiation from a transversely oscillating rigid sphere above a rigid/compliant planar boundary. Acta Acustica United with Acustica, 89 (6), 998-1007.

Record type: Article

Abstract

Harmonic acoustic radiation from a transversely oscillating rigid sphere within a fluid halfspace, while its polar axis is oriented either normal or parallel to the rigid/compliant halfspace boundary, is studied using the classical method of separation of variables. The translational addition theorem for spherical wave functions is initially employed to analyze the non-axisymmetric acoustic coupling between a pair of arbitrarily positioned, axisymmetric, finite-sized spherical sources undergoing harmonic modal surface vibrations in an unbounded acoustic medium.
Subsequently, the method of images is used to efficiently take the presence of the rigid/compliant boundary into account. The analytical results are illustrated with numerical examples in which the spherical source, vibrating in the horizontal-dipole and vertical-dipole modes, is positioned near the rigid (compliant) boundary of a water-filled acoustic halfspace. Subsequently, the basic acoustic field quantities such as the modal acoustic radiation impedance load and the radiation intensity distribution are evaluated for representative values of the parameters characterizing the system.

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Published date: 2003

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Local EPrints ID: 28457
URI: http://eprints.soton.ac.uk/id/eprint/28457
ISSN: 1610-1928
PURE UUID: 1c92eed0-1e59-47cb-aae7-52feccd9a165

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Date deposited: 02 May 2006
Last modified: 15 Mar 2024 07:25

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Contributors

Author: Seyyed M. Hasheminejad
Author: Mahdi Azarpeyvand

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