This work deals with simulation of brass and reed woodwind instruments. The principal objective is to develop discrete-time models that are suitable for application in a musical sound synthesis environment. The main bulk of the thesis describes methods for linear modelling of the instrument air column. Using a travelling-wave based approach, the air column is modelled as a series of modules, each representing a part of the bore. New methods for digital modelling of brass and woodwind mouthpieces, woodwind toneholes, and brass bells are presented. The study also includes new methods for discrete-time modelling of conical bore sections. In addition, the mechanical behaviour of a clarinet reed is studied by means of a distributed model that is formulated numerically using the finite-difference approach. Precise measurements of the reed shape and the mouthpiece lay geometry have been carried out in order to accurately simulate the bending of the reed against the lay during oscillation. An equivalent lumped oscillator model is formulated, and its properties are analysed to a reed-driven pipe simulation. In general, the discrete-time models described in this work are validated via comparison with either measurements or established acoustic theories. The modular approach taken in the derivation of these models allow for dynamic and intuitive control of the musically important simulation parameters.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:663429 |
| Date | January 2002 |
| Creators | Van Walstijn, Maarten |
| Publisher | University of Edinburgh |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://hdl.handle.net/1842/27572 |
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