Date of Last Revision
2023-05-03 12:57:45
Major
Applied Mathematics - BS/MS
Degree Name
Bachelor of Science
Date of Expected Graduation
Summer 2019
Abstract
Resonance conditions are a major area of study in theoretical and experimental investigation. Normally, a resonance condition is characterized by a symmetric shape on either side of the resonance. In some cases, we can observe an asymmetric resonance shape, which is called a Fano resonance. We will study the appearance of Fano resonance in a purely mechanical system. The frequency response of the primary system is approximated using the method of multiple scales focusing on the location of the resonance condition. Then, curve fitting is used to approximate the Fano parameter associated with the system, which provides a measurement of the asymmetry in the resonance line-shape. Using this, we investigate how the various parameters associated with the system influence the strength of the Fano resonance.
Research Sponsor
Dr. Patrick Wilber
First Reader
Dr. Dane Quinn
Second Reader
Dr. Malena Espanol
Recommended Citation
Alberts, Alex, "Theoretical Study of Fano Resonance in a Mechanical System" (2019). Williams Honors College, Honors Research Projects. 938.
https://ideaexchange.uakron.edu/honors_research_projects/938
Comments
If you are interested in this kind of work, look for my masters thesis. There I look at a nonlinear version of this problem.