Year of Graduation
2023
Level of Access
Open Access Thesis
Embargo Period
5-18-2026
Department or Program
Mathematics
First Advisor
Christopher Chong
Abstract
This project focuses on developing a mathematical model for a nonlinear, passive sound filter, which uses a drum-head-like membrane disc and magnets to dampen high-amplitude input signals while having little effect on low-amplitude input signals. Hypothetical applications of such a filter include installation in construction workers’ headphones to allow them to hear each other speak while dampening dangerously loud noises from nearby machinery. The project has been ongoing since the summer of 2021, with a combination of analytical and numerical methods used to develop and test the model. The analytical methods of this project fall under the realm of differential equations. The project also included numerical comparisons on MATLAB and experimental testing using COMSOL Multiphysics, with a focus on refining the model and ensuring agreement between analytical and numerical data. Future work entails testing the theoretical and numerical results on an apparatus in a physical laboratory.
Included in
Acoustics, Dynamics, and Controls Commons, Non-linear Dynamics Commons, Numerical Analysis and Computation Commons, Ordinary Differential Equations and Applied Dynamics Commons, Partial Differential Equations Commons