Effect of the shape of mouth pressure variation on dynamic oscillation threshold of a clarinet model

Abstract : Simple models of clarinet instruments based on iterated maps have been used in the past to successfully estimate the threshold of oscillation of this instrument as a function of a constant blowing pressure. However, when the blowing pressure gradually increases through time, the oscillations appear at a much higher value, called dynamic oscillation threshold, than what is predicted in the static case. This is known as bifurcation delay, a phenomenon studied in [1,2] for a clarinet model. In particular the dynamic oscillation threshold is predicted analytically when the blowing pressure is linearly increased. However, the mouth pressure cannot grow indefinitely. During a note attack, after an increasing phase, the musician stabilizes the mouth pressure. In the present work, the analytical prediction of the dynamic oscillation threshold is extended to a situations in which the mouth pressure approaches a steady state pressure according to an exponential time profile. The predictions still show a good agreement with simulation of the simple clarinet-model. This situation is compared in terms of dynamic oscillation bifurcation.
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Contributor : Baptiste Bergeot <>
Submitted on : Sunday, July 13, 2014 - 3:17:34 PM
Last modification on : Thursday, January 23, 2020 - 6:22:16 PM
Long-term archiving on: Monday, October 13, 2014 - 10:37:44 AM


  • HAL Id : hal-01023500, version 1
  • ARXIV : 1407.3547


Baptiste Bergeot, André Almeida, Christophe Vergez. Effect of the shape of mouth pressure variation on dynamic oscillation threshold of a clarinet model. International Symposium on Musical Acoustics, Jul 2014, Le Mans, France. pp.535-540. ⟨hal-01023500⟩



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