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University of Padova, Department of Information Engineering, Via Gradenigo 6/A, 35131 Padova, Italy.
Maarten van Walstijn
Queen's University Belfast, Sonic Arts Research Centre, University Road, Belfast BT7 1NN, Northern Ireland.
The motion of a clarinet reed that is clamped to a mouthpiece and supported by a lip is simulated in the time-
domain using finite difference methods. The reed is modelled as a bar with non-uniform cross section, and is de-
scribed using a one-dimensional, fourth-order partial differential equation. The interactions with the mouthpiece
lay and the player's lip are taken into account by incorporating conditional contact forces in the bar equation.
The model is completed by clamped-free boundary conditions for the reed. An implicit finite difference method
is used for discretising the system, and values for the physical parameters are chosen both from laboratory mea-
surements and by accurate tuning of the numerical simulations. The accuracy of the numerical system is assessed
through analysis of frequency warping effects and of resonance estimation. Finally, the mechanical properties of