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Modeling of a Magnetoelectric Laminate Ring Using Generalized Hamilton’s Principle

1
Department of Civil Engineering, Zhejiang University City College, Hangzhou 310015, China
2
Department of Physics, Yibin University, Yibin 644000, China
*
Author to whom correspondence should be addressed.
Materials 2019, 12(9), 1442; https://doi.org/10.3390/ma12091442
Received: 9 March 2019 / Revised: 26 April 2019 / Accepted: 30 April 2019 / Published: 3 May 2019
(This article belongs to the Special Issue Advances in Magnetoelectric Composites)
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Abstract

The mathematical modeling of the magnetoelectric (ME) effect in ME laminates has been established for some simple structures. However, these methods, which are based on the differential equation approach, are difficult to use in other complex structures (e.g., ring structures). In this work, a new established approach based on the generalized Hamilton’s principle is used to analyze the ME effect in an ME laminated ring. Analytical expressions for ME voltage coefficients are derived. A comparison with the conventional method indicates that this approach is more convenient when the modeling analysis is performed on complex structures. Further, experimental data are also obtained to compare with the theoretical calculations in order to validate the new approach. View Full-Text
Keywords: magnetoelectric (ME) effect; generalized Hamilton’s principle; laminated composites; magnetostrictive; piezoelectric magnetoelectric (ME) effect; generalized Hamilton’s principle; laminated composites; magnetostrictive; piezoelectric
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Zhang, R.; Zhang, S.; Xu, Y.; Zhou, L.; Liu, F.; Xu, X. Modeling of a Magnetoelectric Laminate Ring Using Generalized Hamilton’s Principle. Materials 2019, 12, 1442.

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