Stefan Bilbao, 2009, Numerical Sound Synthesis: Finite Difference Schemes and Simulation in Musical Acoustics
F. Avanzini and M. van Walstijn, “Modeling the mechanical response of the reed- mouthpiece-lip system of a clarinet. 1. A one-dimensional distributed model”, Acta Acust, 90, 537-547 (2004).
Single degree of freedom with constant parameters can only be assumed for oscillations at small amplitudes Reed beating is usually incorporated in a non-physical way by imposing a maximum allowed displacement for the reed tip The dependence of the reed-mouthpiece system on the lip embouchure is not considered in lumped model
A bar with non-uniform cross-sectional area Clamped to the mouthpiece at one end Additional constraints provided by the mouthpiece profile and interaction with the lip