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Approximate Solutions for Acoustic Radiation Problems: A Critical Appraisal of the Method of Comparative Sources

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Radiation and scattering from vibrating bodies can be expressed by a source system that is placed inside the radiator and whose source strengths are determined appropriately. The Method of Comparative Sources (MCS) provides an estimate of these source strengths from the nearfield data. In the present article, the MCS is reviewed by applying it to cylinders with elliptical cross-section for which exact solutions of the sound field are available. Solutions for different, more and less efficiently radiating velocity distributions are compared to results obtained with the MCS, using various source systems and different weighting functions. It is demonstrated that, contrary to current assumptions, the error in the surface velocity approximation is generally not proportional to the error in the radiated sound power. Furthermore, the method provides an adequate prediction of the radiated sound power only for efficient radiators. Inefficient radiators are not handled well with the MCS. Finally it is shown, that the incorporation of certain weighting functions will further improve the MCS.

Document Type: Research Article

Publication date: November 1, 1999

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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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