Abstract
Since Schumacher introduced a time-domain model of single-reed instruments and McIntyre et al. gave the general concept of time-domain models of wind instruments, the time-domain models, namely delayed feedback models, have become an important numerical tool for the study of wind instruments due to their simplicity, easiness to handle and reliability. However, those models only reproduce wave oscillations observed in the mouthpieces of wind instruments. In this talk, we will propose a numerical technique, which is able to reproduce the time dependent motions of spatial waves in an air-column. It is composed of wave propagator matrices combined with the forward and backward Fourier transformations. The resultant spatial waves in cylindrical air-columns exhibit very similar time-dependent behavior to those observed by experiments for the clarinet. Actually, a progressive and a regressive rounded-off-step shaped wave are observed. We also discuss difference in wave shapes and their time-dependent behavior between different shapes of air-columns, cylindrical bores like the clarinet, conical bores like the saxophone and a horn-shaped bore like brass instruments. For the conical and horn-shaped bores, Helmholtz-like waves are observed rather than the step waves observed for the cylindrical bores.
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call