Simulation of single reed instruments oscilations based on modal decomposition of bore and reed dynamics

Fabrice Silva (1) , Vincent Debut (2) , Jean Kergomard (1) , Christophe Vergez (1) , Aude Deblevid (1) , Philippe Guillemain (1)

1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
2 ITN - Applied Dynamics Laboratory, ITN/ADL

This paper investigates the sound production in a system made of a bore coupled with a reed valve. Extending previous work (Debut, 2004), the input impedance of the bore is projected on the modes of the air column. The acoustic pressure is therefore calculated as the sum of modal components. The airflow blown into the bore is modulated by reed motion, assuming the reed to be a single degree of freedom oscillator. Calculation of self-sustained oscillations controlled by time-varying mouth pressure and player's embouchure parameter is performed using ODE solvers. Results emphasize the par ticipation of the whole set of components in the mode locking process. Another impor tant feature is the mutual innnfluence of reed and bore resonance during growing blowing pressure transients, oscillation threshold being altered by the reed natural frequency and the reed damping. Steady-state oscillations are also investigated and compared with results given by harmonic balance method and by digital sound synthesis.

Mots clés: Single reed instruments; modal decomposition; simulation; ode

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]

Fabrice Silva, Vincent Debut, Jean Kergomard, Christophe Vergez, Aude Deblevid, et al.. Simulation of single reed instruments oscilations based on modal decomposition of bore and reed dynamics. Proceedings of the International Congress of Acoustics, Sep 2007, Madrid, Spain. CD-ROM(6 p.). ⟨hal-00147196⟩