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Theoretical Study of Fano Resonance in a Cubic Nonlinear Mechanical System

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2019, Master of Science, University of Akron, Applied Mathematics.
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.
Patrick Wilber, PhD (Advisor)
Dane Quinn, PhD (Advisor)
Malena Espanol, PhD (Advisor)
51 p.

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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)