Major

Applied Mathematics - BS/MS

Degree Name

Bachelor of Science

Date of 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

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.

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