MUMT 618 Final Project, Margaret Hopkins

Investigating an implementation of Adachi & Sato (1996)

Introduction

In their 1996 paper entitled “Trumpet sound simulation using a two-dimensional lip vibration model,” Adachi and Sato propose a model for the trumpet sound production method that consists of a lip model, a resonator, and the airflow between them. Adachi and Sato (1996) combine two one-dimensional models used in their 1995 paper, the “striking outwards” and transverse models, to create a two-dimensional model that agrees with findings of Yoshikawa (1995), who found that lip vibration in the low range was better understood by the “striking outwards” model, and in the high range by the transverse model. At the time when Adachi and Sato conducted this research, there was very little research into physical modelling of brass instruments. Strong and Dudley (1993) use a lip model, nonlinear airflow, and a trumpet impulse response to create a similar model, but only generate tones at one pitch. In their 1995 and 1996 papers, Adachi and Sato use their model to excite the first six resonance modes of the trumpet by varying the lip oscillation frequency and the blowing pressure. For this project, resonance mode selection in Adachi and Sato’s 1996 model is investigated using a Matlab implementation written by Vincent Fréour.

Model Description

Implementation

Methodology

Results

Discussion, Conclusions, and Suggestions for Future Work

References