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

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

Research output: Contribution to journalArticle

62 Citations (Scopus)

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 - Jan 1 1999

Fingerprint

sound propagation
ducts
Ducts
Acoustic waves
tubes
Decomposition
decomposition
Geometry
boundary element method
Boundary element method
geometry
equivalent circuits
Equivalent circuits
insertion
Waveguides
waveguides
formulations
matrices
approximation
Sound

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Music

Cite this

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.

Theory of sound propagation in a duct with a branched tube using modal decomposition. / Dubos, V.; Kergomard, J.; Khettabi, A.; Dalmont, J. P.; Keefe, Douglas H; Nederveen, C. J.

In: Acta Acustica (Stuttgart), Vol. 85, No. 2, 01.01.1999, p. 153-169.

Research output: Contribution to journalArticle

Dubos, V, Kergomard, J, Khettabi, A, Dalmont, JP, Keefe, DH & Nederveen, CJ 1999, 'Theory of sound propagation in a duct with a branched tube using modal decomposition', Acta Acustica (Stuttgart), vol. 85, no. 2, pp. 153-169.
Dubos V, Kergomard J, Khettabi A, Dalmont JP, Keefe DH, Nederveen CJ. Theory of sound propagation in a duct with a branched tube using modal decomposition. Acta Acustica (Stuttgart). 1999 Jan 1;85(2):153-169.
Dubos, V. ; Kergomard, J. ; Khettabi, A. ; Dalmont, J. P. ; Keefe, Douglas H ; Nederveen, C. J. / Theory of sound propagation in a duct with a branched tube using modal decomposition. In: Acta Acustica (Stuttgart). 1999 ; Vol. 85, No. 2. pp. 153-169.
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