Open AccessSound Radiation due to Modal Vibrations of a Spherical Source in an Acoustic Quarterspace
Author(s) -
Seyyed M. Hasheminejad,
Mahdi Azarpeyvand
Publication year - 2004
Publication title -
shock and vibration
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.418
H-Index - 45
eISSN - 1875-9203
pISSN - 1070-9622
DOI - 10.1155/2004/626983
Subject(s) - acoustic radiation , acoustics , radiation impedance , modal , physics , acoustic source localization , acoustic radiation force , spherical harmonics , radiation , vibration , acoustic wave , near and far field , acoustic wave equation , boundary (topology) , acoustic impedance , harmonic , mathematical analysis , mathematics , optics , materials science , ultrasonic sensor , polymer chemistry , ultrasound
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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