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Theory of Sound Propagation in a Duct with a Branched Tube Using Modal Decomposition

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The present paper extends the scope of a previous paper of one of the authors [1]. The modal decomposition is used to obtain both an exact result in a matrix form and a variational formulation for the description of the insertion of a branched tube on a main waveguide where only the planar mode propagates. Two representations are given: a two-port junction and a three-port junction, with their equivalent circuits. Results are given for the 2D, rectangular geometry case, with a discussion of some approximations and convergence problems. Concerning the circular geometry, new formulae are given and compared with results determined with the boundary element method.
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Document Type: Research Article

Publication date: March 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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