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Alberts_thesis.pdf (1.43 MB)
ETD Abstract Container
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Theoretical Study of Fano Resonance in a Cubic Nonlinear Mechanical System
Author Info
Alberts, Alexander M
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=akron1564665858758713
Abstract Details
Year and Degree
2019, Master of Science, University of Akron, Applied Mathematics.
Abstract
Resonance conditions are a major area of study in theoretical and experimental inves tigation. 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 referred to as a Fano resonance. Recently, experimental evidence of the appearance of Fano resonance in a purely mechancial system has been found. We will form a theoretical study of the appearance of Fano resonance in such a system involving a primary system and a small attachment. The frequency response of the primary system is approximated using the method of multiple-scales. Using this, we investigate how the various parameters associated with the system influence the asymmetry in the resonance line-shape. We first focus on a linear system, and briefly extend the results to a cubic nonlinear system.
Committee
Patrick Wilber, PhD (Advisor)
Dane Quinn, PhD (Advisor)
Malena Espanol, PhD (Advisor)
Pages
51 p.
Subject Headings
Applied Mathematics
Keywords
Fano Resonance
;
nonlinear dynamics
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Citations
Alberts, A. M. (2019).
Theoretical Study of Fano Resonance in a Cubic Nonlinear Mechanical System
[Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1564665858758713
APA Style (7th edition)
Alberts, Alexander.
Theoretical Study of Fano Resonance in a Cubic Nonlinear Mechanical System .
2019. University of Akron, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=akron1564665858758713.
MLA Style (8th edition)
Alberts, Alexander. "Theoretical Study of Fano Resonance in a Cubic Nonlinear Mechanical System ." Master's thesis, University of Akron, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=akron1564665858758713
Chicago Manual of Style (17th edition)
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Document number:
akron1564665858758713
Download Count:
194
Copyright Info
© 2019, all rights reserved.
This open access ETD is published by University of Akron and OhioLINK.