Behavior of reed woodwind instruments around the oscillation threshold

Benjamin Ricaud 1 Philippe Guillemain 1 Jean Kergomard 1 Fabrice Silva 1 Christophe Vergez 1
1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
Abstract : Properties of small amplitude oscillations of the single reed woodwind instruments near the oscillation threshold are investigated. Analytical formulae with explicit dependence on the physical parameters of the instrument and instrumentist allow to determine the bifurcation point, the nature of the bifurcation, the amplitude of the first harmonics and the oscillation frequency. The model, which takes the reed dynamics into account, is entirely expressed in the frequency domain and its behaviour is analysed. An application to a model of saxophone is proposed and compared with numerical results obtained through the harmonic balance technique and a time domain simulation, showing excellent agreements.
Keywords : reed woodwind instrument bifurcation small oscillations harmonic balance nonlinear acoustics
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Article dans une revue
Acta Acustica united with Acustica, Hirzel Verlag, 2009, 95 (4), pp.733-743. <10.3813/AAA.918201>
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Soumis le : vendredi 23 janvier 2009 - 18:35:05
Dernière modification le : jeudi 24 mars 2016 - 01:07:05
Document(s) archivé(s) le : mercredi 22 septembre 2010 - 11:41:28

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LMA_UPR7051 | LMA_THESE | EC-MARSEILLE | UNIV-AMU

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Benjamin Ricaud, Philippe Guillemain, Jean Kergomard, Fabrice Silva, Christophe Vergez. Behavior of reed woodwind instruments around the oscillation threshold. Acta Acustica united with Acustica, Hirzel Verlag, 2009, 95 (4), pp.733-743. <10.3813/AAA.918201>. <hal-00355058v2>

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