Oscillation threshold of a Raman clarinet with localized nonlinear losses at the open end

TL;DR

This paper models a Raman clarinet with localized nonlinear losses, analyzing how these losses affect the oscillation thresholds and stability of different playing regimes through a parametric study.

Contribution

It introduces a simple iterated map model for the Raman clarinet that incorporates localized nonlinear losses and studies their impact on oscillation thresholds.

Findings

Increasing nonlinear losses raises the oscillation threshold.

Higher nonlinear losses lower the maximum blowing pressure before oscillations cease.

The model predicts the extinction threshold decreases with increased nonlinear losses.

Abstract

Localized nonlinear losses are taken into account in a simple Raman clarinet model.The complete system is expressed as an iterated map, enabling to study the stability of the different playing regimes. A parametric study is carried out with respect to three major parameters: blowing pressure, embouchure and nonlinear losses coefficient.The model exhibits the well-known effect of reducing the maximum blowing pressure until the oscillations stop (extinction threshold) when nonlinear losses increase.Furthermore, the stability analysis also shows that increasing nonlinear losses increases the minimal blowing pressure for which the oscillations start (oscillation threshold).