Seuils d'instabilit\'e d'un instrument de musique \`a anche simple : approche modale

TL;DR

This paper analyzes the oscillation threshold of single reed musical instruments like clarinets using modal decomposition, revealing how reed properties influence sound onset and transient behavior.

Contribution

It introduces a modal decomposition approach to analyze the oscillation threshold, linking reed characteristics to sound production in single reed instruments.

Findings

Reed strength and damping affect the oscillation threshold.

Modal analysis clarifies how reed properties influence attack transients.

The approach improves understanding of sound onset in woodwind instruments.

Abstract

Many musical instruments, as for example woodwind instruments, flute or violins, are self-sustained oscillating systems, i.e. musician enacts as a continuous energy source to drive an oscillation in the passive resonator, the body of the instrument, by means of a nonlinear coupling. For single reed instruments like clarinet, there exists a minimal value of mouth pressure beyond which sound can appear. This paper deals with the analysis of this oscillation threshold, calculated using a modal decomposition of the resonator, in order to have a better comprehension of how reed characteristics, such as its strength and its damping, may influence the attack transient of notes.