A Physical Model of Recorder-Like Instruments
Résumé
In this paper, a simple one-dimensional representation of recorder-like instruments for sound synthesis by physical modeling is presented. The jet oscillation model used is a modification of the semi-empirical model by Fletcher (1976b). The steady-state of the acoustical oscillations in the pipe by the jet motion is represented by a pressure jump in the mouth of the instrument. Vortex shedding at the edge of the labium during steady-state operation is taken into account by the use of a free jet model. The combined effects of this non-linearity and the jet-drive model enable one to predict correctly the steady-state amplitude of the fundamental. The transient response of the model is triggered by the initial volume injection into the mouth of the instrument and is dependent on the steepness of the driving pressure rise.