基于非线性特性的磁电效应分析模型研究

郑建校; 王楚友; 刘金颂; 周立明; 张卯

doi:10.21656/1000-0887.450238

基于非线性特性的磁电效应分析模型研究

doi: 10.21656/1000-0887.450238

1. 西安建筑科技大学机电工程学院，西安 710055;
2. 吉林大学机械与航空航天工程学院，长春 130025

基金项目:

国家自然科学基金（52002309）；陕西省自然科学基础研究计划（2023-JC-YB-313；2023-JC-YB-294）

详细信息

作者简介:
郑建校（1975—），男，副教授，博士，硕士生导师(E-mail: zjx@xauat.edu.cn);王楚友（2001—），男，硕士生(E-mail: 1732230035@qq.com);刘金颂（1981—），女，副教授，博士(通讯作者. E-mail: 592362106@qq.com).

通讯作者:
刘金颂（1981—），女，副教授，博士(通讯作者. E-mail: 592362106@qq.com).

中图分类号: TB331|TM201.3
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出版历程
- 收稿日期: 2024-08-29
- 修回日期: 2025-02-26
- 网络出版日期: 2025-12-31

Analytical Modeling of Magneto-Electric Effects Based on Nonlinear Properties

1. College of Mechanical and Electrical Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, P.R.China;
2. College of Mechanical and Aerospace Engineering, Jilin University, Changchun 130025, P.R.China

Funds:

The National Science Foundation of China(52002309)

摘要

摘要: 针对磁致伸缩材料中复杂的非线性磁-力耦合关系以及磁电复合材料之间的界面耦合问题，提出了一种基于等效电路法的磁电效应分析模型.根据磁致伸缩材料Tb_0.3Dy_0.7Fe_1.92(Terfenol-D)的非线性模型，通过理论推导得到磁致伸缩材料在复杂非线性磁-力耦合条件下的磁致伸缩系数、压磁系数以及相对磁导率的表达式，并将其等效在磁致伸缩材料线性本构方程中.采用等效电路法分别对磁致伸缩材料Terfenol-D和压电材料Pb(Zr,Ti)O₃(PZT)进行建模，并引入界面耦合系数将两个等效电路进行耦合.将压磁系数与磁电电压系数的理论预测值与试验数据对比，验证了等效参数表达式以及非线性理论模型的有效性.研究表明，磁电电压系数与层合比、界面耦合系数以及外加磁场有着密切的关系.研究结果为磁电复合材料磁电效应的优化提供了理论指导.
- 磁致伸缩材料 /
- 等效电路法 /
- 界面耦合系数 /
- 磁电电压系数 /
- 磁电复合
Abstract: A magnetoelectric effect analysis model based on the equivalent circuit method was proposed to address the complex nonlinear magneto-mechanical coupling in magnetostrictive materials and the interface coupling between magnetoelectric composites. With the nonlinear model for magnetostrictive material Tb_0.3Dy_0.7Fe_1.92(Terfenol-D), theoretical derivations were carried out to obtain expressions for the magnetostrictive coefficient, the piezomagnetic coefficient, and the relative permeability of the magnetostrictive material under complex nonlinear magneto-mechanical coupling conditions, which were then incorporated into the linear constitutive equations of the magnetostrictive material. The equivalent circuit method was applied to model both magnetostrictive material Terfenol-D and piezoelectric material Pb(Zr,Ti)O₃(PZT), with the introduction of an interface coupling coefficient to couple the 2 equivalent circuits. By comparison of the theoretical predictions of the piezomagnetic coefficient and the magnetoelectric voltage coefficient with experimental data, the effectiveness of the equivalent parameter expressions and the nonlinear theoretical model was validated. The study shows that, the magnetoelectric voltage coefficient is closely related to the laminate ratio, the interface coupling coefficient, and the applied magnetic field. The results provide a theoretical guidance for optimizing the magnetoelectric effects in magnetoelectric composites.
- magnetostrictive material /
- equivalent circuit method /
- interface coupling coefficient /
- magnetoelectric voltage coefficient /
- magnetoelectric composition

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