title: An analytical prediction of the oscillation and extinction thresholds of a clarinet.
abstract: This paper investigates the dynamic range of the clarinet from the oscillation threshold to the extinction at high pressure level. The use of an elementary model for the reed-mouthpiece valve effect combined with a simplified model of the pipe assuming frequency independent losses (Raman's model) allows an analytical calculation of the oscillations and their stability analysis. The different thresholds are shown to depend on parameters related to embouchure parameters and to the absorption coefficient in the pipe. Their values determine the dynamic range of the fundamental oscillations and the bifurcation scheme at the extinction.
authors.affiliation: Laboratoire d'Acoustique de l'Université du Maine (UMR CNRS 6613), Université du Maine, 72085 Le Mans, France. jean-pierre.dalmont@univ-lemans.fr
authors.forename: Jean-Pierre
authors.initials: JP
authors.lastname: Dalmont
authors.forename: Joël
authors.initials: J
authors.lastname: Gilbert
authors.forename: Jean
authors.initials: J
authors.lastname: Kergomard
authors.forename: Sébastien
authors.initials: S
authors.lastname: Ollivier
mesh_terms: D000162:Acoustics; D006801:Humans; D008962:Models, Theoretical; D009055:Mouth; D009146:Music; D010507:Periodicity