Dynamics-based criteria for the limits of validity of cylindrical reed instrument models using modal decomposition

Le résumé fourni par la source

Self-sustained instrument models such as clarinets or reed organ pipes include two main elements : a strongly nonlinear exciter and a resonator, usually considered linear.In the past, the resonator has been modelled with either delay lines or modal decompositions, which are vastly different approaches.This work formulates objective criteria based on the self-sustained dynamics of the model, particularly the nature of its bifurcations, which allow to circumscribe the domain where the modal and delay lines approaches yield agreeing results.Notably, artifact fold bifurcations due to modal decomposition are exhibited in a specific region of the control parameter space.The dynamical characteristics of the models are studied through numerical continuation techniques (Harmonic Balance Method and Shooting) for periodic regimes and bifurcation analysis, as well as time-domain integration to include transient and aperiodic phenomena.The criteria introduced can also be applied when comparing the models to experimental data, or as tools to assess the performance of a physical model as a synthesizer.

Ce résumé expose les affirmations des auteurs. BNTIC ne l’interprète pas comme une validation indépendante des résultats.