Study of woodwind-like systems through nonlinear differential equations. Part II. Real geometry
Ana Barjau, Vincent Gibiat · The Journal of the Acoustical Society of America · 1997
In a previous paper [Barjau et al., J. Acoust. Soc. Am. 102, 3023–3031 (1997)], a differential formulation has been used to study the stability and bifurcations in geometrically simple woodwindlike systems. For general bore geometries, such differential formulation can be obtained by representing the system through a lumped equivalent mechanical model whose parameters are extracted from a real impedance curve on which a modal analysis has been performed. The present procedure is then applied to a particular case and several time-domain simulations are carried out in order to both assess the validity of the systematically developed procedure and explore the possible system behaviors far from the threshold of oscillation.