Theory of sound propagation in a duct with a branched tube using modal decomposition

V. Dubos, J. Kergomard, A. Khettabi, J. P. Dalmont, D. H. Keefe, C. J. Nederveen

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63 Scopus citations

Abstract

The present paper extends the scope of a previous paper of one of the authors. 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.

Original languageEnglish (US)
Pages (from-to)153-169
Number of pages17
JournalActa Acustica (Stuttgart)
Volume85
Issue number2
StatePublished - 1999

ASJC Scopus subject areas

  • Music
  • Acoustics and Ultrasonics

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    Dubos, V., Kergomard, J., Khettabi, A., Dalmont, J. P., Keefe, D. H., & Nederveen, C. J. (1999). Theory of sound propagation in a duct with a branched tube using modal decomposition. Acta Acustica (Stuttgart), 85(2), 153-169.