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Kathy_Thesis_RoughDraft_BGSU__newest_ (2).pdf (748.09 KB)
ETD Abstract Container
Abstract Header
The Mathematical Modeling of Magnetostriction
Author Info
Shoemaker, Katherine L, Shoemaker
ORCID® Identifier
http://orcid.org/0000-0001-9331-4401
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1522694644858063
Abstract Details
Year and Degree
2018, Master of Arts (MA), Bowling Green State University, Mathematics/Scientific Computation.
Abstract
In this thesis, we study a system of differential equations that are used to model the material deformation due to magnetostriction both theoretically and numerically. The ordinary differential system is a mathematical model for a much more complex physical system established in laboratories. We are able to clarify that the phenomenon of double frequency is more delicate than originally suspected from pure physical considerations. It is shown that except for special cases, genuine double frequency does not arise. In particular, simulation results using the lab data is consistent with the experiment.
Committee
So-Hsiang Chou, PhD (Advisor)
Kit Chan, PhD (Committee Member)
Tong Sun, PhD (Committee Member)
Pages
46 p.
Subject Headings
Mathematics
Keywords
Modeling
;
magnets
;
applied mathematics
;
mathematics
;
magnetostriction
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Citations
Shoemaker, Shoemaker, K. L. (2018).
The Mathematical Modeling of Magnetostriction
[Master's thesis, Bowling Green State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1522694644858063
APA Style (7th edition)
Shoemaker, Shoemaker, Katherine.
The Mathematical Modeling of Magnetostriction.
2018. Bowling Green State University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1522694644858063.
MLA Style (8th edition)
Shoemaker, Shoemaker, Katherine. "The Mathematical Modeling of Magnetostriction." Master's thesis, Bowling Green State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1522694644858063
Chicago Manual of Style (17th edition)
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Document number:
bgsu1522694644858063
Download Count:
1,395
Copyright Info
© 2018, all rights reserved.
This open access ETD is published by Bowling Green State University and OhioLINK.