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Transfert D'impédance Dans un Tube à Section Variable. Exemples Théoriques et Numériques

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Webster's equation for the propagation of sound waves in a variable cross-section tube of finite length is solved by an integral method. The impedance for each section of the tube is written as a function of the given impedance at the end of the tube. Theoretical and numerical applications to exponential, catenoidal and Bessel tubes are given. Numerical examples for some tubes of arbitrary cross-section are also presented.


Un tube rigide de section droite variable est fermé sur un appareil acoustique d'impédance donnée. Apres avoir écrit la solution générale de l'équation de Webster qui gouverne le spectre de la pression acoustique, nous donnons l'impédance en un point quelconque du tube en fonction de l'impédance de sortie. Des applications théoriques et numériques aux tubes de Bessel, tube exponential et tube caténoldal sont traitées. Des exemples numériques pour des tubes à section quelconque sont présentées.


Ein starres Rohr mit variablem Querschnitt ist an ein akustisches Gerät vorgegebener Impedanz angeschlossen. Mit Hilfe der allgemeinen Lösung der Webster-Gleichung, die für das Spektrum des Schalldrucks maßgebend ist, wird die Impedanz eines beliebigen Punktes im Rohr als Funktion der Ausgangsimpedanz angegeben. Es werden theoretische und numerische Ergebnisse für das Besselrohr, das Exponentialrohr und das Katenoidrohr diskutiert und numerische Beispiele für beliebige Querschnittsfunktionen angegeben.

Document Type: Research Article

Publication date: June 1, 1988

More about this publication?
  • 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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