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.
Highlights
The magnetoelectric (ME) effect [1,2], defined as an induced dielectric polarization under the effect of a magnetic field and/or induced magnetization under the action of an electric field, exhibits tremendous potential for applications such as magnetic-field sensors, transducers, energy harvesters, and memory devices [3,4,5]
The conventional modeling methods based on differential equations have been established by Bichurin et al [10,11,12] and Dong et al [13]
The peak-to-peak value of the input current Ipk−pk of the electric cable was maintained at a constant value of 1 A, and the peak-to-peak value of the corresponding output voltage Vpk−pk of the ME laminate ring was recorded for different frequencies, which were tuned in the function generator
Summary
The magnetoelectric (ME) effect [1,2], defined as an induced dielectric polarization under the effect of a magnetic field and/or induced magnetization under the action of an electric field, exhibits tremendous potential for applications such as magnetic-field sensors, transducers, energy harvesters, and memory devices [3,4,5]. The ME effects of rectangular laminate, disk–ring, and layered ring–ring composite structures have been studied analytically and experimentally [10,11,12,13,14,15,16,17]. Analytical models to explain and predict the ME effect in ME laminate composites should be addressed to provide guidance for the design, fabrication, and application of the ME laminate-based devices. The conventional modeling methods based on differential equations have been established by Bichurin et al [10,11,12] and Dong et al [13]. These methods were originally proposed for composites with homogeneous material properties
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