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Scattering of a cylindrical wave of sound by an elastic cylinder

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This study deals with scattering of a cylindrical wave of sound incident on an elastic cylinder. Equations whose solutions are the coefficients in series expressions for the scattered wave are derived.

A number of calculations of the distribution in angle for scattering of an incident cylindrical wave are presented for four ratios of the distance between the source and the cylinder to two different radii of the cylinder. Based on the calculations made here, two interesting points may be mentioned here. First, the distribution in angle for scattering, of the incident wave of acoustical radii of 1.7, 3.4 approaches that of the plane wave when the ratio of the source-cylinder distance to radius of the cylinder approaches 6. Second, the scattering pattern of an elastic cylinder resembles that of a rigid cylinder if the frequency of the incident wave is lower than that of the first symmetrical normal mode of free vibration of the solid scatterer, and if the density of the scatterer is greater than that of the liquid. Although their resemblance is not as good as the incident wave, being of plane type. On the other hand, there is little resemblance if the frequency of the incident wave occurs in the vicinity of certain of the normal mode of free vibration of the solid scatterer. The same conclusion has been arrived by Faran for the incident plane wave case.
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Document Type: Research Article

Publication date: January 1, 1963

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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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