Sound Radiation due to Modal Vibrations of a Spherical Source in an Acoustic Quarterspace

Radiation of sound from a spherical source, vibrating with an arbitrary, axisymmetric, time-harmonic surface velocity, while positioned within an acoustic quarterspace is analyzed in an exact manner. The formulation utilizes the appropriate wave field expansions along with the translational addition...

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Main Authors: Seyyed M. Hasheminejad, Mahdi Azarpeyvand
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2004/626983
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author Seyyed M. Hasheminejad
Mahdi Azarpeyvand
author_facet Seyyed M. Hasheminejad
Mahdi Azarpeyvand
author_sort Seyyed M. Hasheminejad
collection DOAJ
description Radiation of sound from a spherical source, vibrating with an arbitrary, axisymmetric, time-harmonic surface velocity, while positioned within an acoustic quarterspace is analyzed in an exact manner. The formulation utilizes the appropriate wave field expansions along with the translational addition theorem for spherical wave functions in combination with the classical method of images to develop a closed-form solution in form of infinite series. The analytical results are illustrated with numerical examples in which the spherical source, vibrating in the pulsating (n = 0) and translational oscillating (n = 1) modes, is positioned near the rigid boundary of a water-filled quarterspace. 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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series Shock and Vibration
spelling doaj-art-d0bff71d76a94ea88a12c3e13c9c10cf2025-02-03T06:00:57ZengWileyShock and Vibration1070-96221875-92032004-01-01115-662563510.1155/2004/626983Sound Radiation due to Modal Vibrations of a Spherical Source in an Acoustic QuarterspaceSeyyed M. Hasheminejad0Mahdi Azarpeyvand1Department of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran 16844, IranDepartment of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran 16844, IranRadiation of sound from a spherical source, vibrating with an arbitrary, axisymmetric, time-harmonic surface velocity, while positioned within an acoustic quarterspace is analyzed in an exact manner. The formulation utilizes the appropriate wave field expansions along with the translational addition theorem for spherical wave functions in combination with the classical method of images to develop a closed-form solution in form of infinite series. The analytical results are illustrated with numerical examples in which the spherical source, vibrating in the pulsating (n = 0) and translational oscillating (n = 1) modes, is positioned near the rigid boundary of a water-filled quarterspace. 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.http://dx.doi.org/10.1155/2004/626983
spellingShingle Seyyed M. Hasheminejad
Mahdi Azarpeyvand
Sound Radiation due to Modal Vibrations of a Spherical Source in an Acoustic Quarterspace
Shock and Vibration
title Sound Radiation due to Modal Vibrations of a Spherical Source in an Acoustic Quarterspace
title_full Sound Radiation due to Modal Vibrations of a Spherical Source in an Acoustic Quarterspace
title_fullStr Sound Radiation due to Modal Vibrations of a Spherical Source in an Acoustic Quarterspace
title_full_unstemmed Sound Radiation due to Modal Vibrations of a Spherical Source in an Acoustic Quarterspace
title_short Sound Radiation due to Modal Vibrations of a Spherical Source in an Acoustic Quarterspace
title_sort sound radiation due to modal vibrations of a spherical source in an acoustic quarterspace
url http://dx.doi.org/10.1155/2004/626983
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