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arXiv · 1407.3782

Prediction of the dynamic oscillation threshold of a clarinet model: Comparison between analytical predictions and simulation results

Baptiste Bergeot·André Almeida·Christophe Vergez·Bruno Gazengel
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Abstract

Simple models of clarinet instruments based on iterated maps have been used in the past to successfully estimate the threshold of oscillation of this instrument as a function of a constant blowing pressure. However, when the blowing pressure gradually increases through time, the oscillations appear at a much higher value than what is predicted in the static case. This is known as bifurcation delay, a phenomenon studied in [1] for a clarinet model. In numerical simulations the bifurcation delay showed a strong sensitivity to numerical precision.

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Baptiste Bergeot, André Almeida, Christophe Vergez, Bruno Gazengel. 2014-07-14. Prediction of the dynamic oscillation threshold of a clarinet model: Comparison between analytical predictions and simulation results. https://arxiv.org/abs/1407.3782

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