259 citations · 577 across the 27 of their papers we have counts for
4 papers · 2 filters
A high-order, purely frequency based harmonic balance formulation for continuation of periodic solutions: The case of non-polynomial nonlinearities
Sami Karkar, Bruno Cochelin, Christophe Vergez
In this paper, we extend the method proposed by Cochelin and Vergez [A high order purely frequency-based harmonic balance formulation for continuation of periodic solutions, Journa…
Flute-like musical instruments: a toy model investigated through numerical continuation
Soizic Terrien, Christophe Vergez, Benoît Fabre
Self-sustained musical instruments (bowed string, woodwind and brass instruments) can be modeled by nonlinear lumped dynamical systems. Among these instruments, flutes and flue org…
Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure
Baptiste Bergeot, André Almeida, Christophe Vergez +1
Reed instruments are modeled as self-sustained oscillators driven by the pressure inside the mouth of the musician. A set of nonlinear equations connects the control parameters (mo…
Oscillation threshold of a clarinet model: a numerical continuation approach
Sami Karkar, Christophe Vergez, Bruno Cochelin
This paper focuses on the oscillation threshold of single reed instruments. Several characteristics such as blowing pressure at threshold, regime selection, and playing frequency a…