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Asymptotic formulae for the acoustic power output of a simply-supported circular plate

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Computations of standardized active and reactive sound power for a simply-supported circular plate have been investigated. The plate's vibrations are axisymmetric and time-harmonic. The Kirchhoff-Love model of a perfectly elastic plate has been used. The plate is embedded in a planar and rigid baffle. Integral formulae for the active and reactive sound power, which are valid for high frequencies, have been transformed to elementary formulae useful for numerical computations. Based on some generalized formulae some energy magnitudes for clamped as well as simply-supported circular plates have been derived. The asymptotic expressions presented herein are independent from such parameters as the plate's thickness and the density of the plate's material. However, they enable us to compute a number of suitable magnitudes for any simply-supported circular plate. The standardized sound power of the successive vibrations modes computed herein can constitute basis for the analysis of the total sound power of a forced, damped, and fluid-loaded plate, which is embedded in an infinite baffle.
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Document Type: Research Article

Publication date: March 1, 2001

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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