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Line Integral Model of Transient Radiation from Planar Pistons in Baffles

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This paper studies transient sound radiation from planar pistons with uniform source signal distribution in rigid and pressure release baffles and uses a model with a plane wave term plus an edge wave term. In [H. D. Mair, L. Bresse, D. A. Hutchins, J. Acoust. Soc. Am. 84 (1988) 1517-1525], analytic expressions were derived for the edge wave term. Here, a modified version is presented which restates the edge wave term as being generated by edge sources for which analytic directivity functions are derived. These directivity functions offer further qualitative insight into the concept of a piston edge wave and makes efficient numerical implementations possible. Numerical implementations are discussed and it is shown that discrete-time representations of the impulse responses can be found via an efficient integration along the edge segments. The sound radiation from a circular piston is studied and the on- and off-axis sound field is calculated using both analytical expressions and the edge source model with the circle approximated by a polygonal shape. Excellent agreement results, even for the transients which correspond to singularities in the analytic expressions.
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Document Type: Research Article

Publication date: May 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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