Modifications to a Lossy Tube to Balance Accuracy and Run-Time in a Time Domain Clarinet-Like Model
Open Access
Author:
Child, James
Graduate Program:
Engineering Science and Mechanics
Degree:
Master of Science
Document Type:
Master Thesis
Date of Defense:
October 30, 2024
Committee Members:
Stephen Thompson, Thesis Advisor/Co-Advisor Dan Russell, Committee Member Laura Cabrera, Program Head/Chair Jacques Riviere, Thesis Advisor/Co-Advisor
Keywords:
clarinet acoustics time domain thermoviscous optimization musical instrument acoustics
Abstract:
This research improved a time-domain clarinet model’s bore input impedance network to balance accuracy with run-time. The small segments of tube that made up the bore and tone holes were modeled as segments of a cylindrical tube with thermoviscous losses at the walls. Optimization methods were used for the networks that make up the main bore parameters, and pre-existing coefficients were implemented for the tone holes. Smaller sections of tube cascade to make a longer tube between the reed and the first tone hole. Single segments of tube attach from the main bore to represent tone holes. The model simulated 2 seconds of playing time. The pressure in the mouthpiece, pressure radiated out of the first tone hole, flow in the bore, and reed position were measured for different blowing pressures. The model simulations exhibited well studied traits in clarinets when increasing the blowing pressure, such as increased higher frequency content and a less sinusoidal waveform. Simulation time decreased by 40-70% compared to the model while using an alternate representation for the bore input impedance. This bore representation will be advantageous in future research to decrease the model run time when incorporating more complex clarinet features.
