磁致伸缩、压电层状复合磁电传感器非线性动态有限元模型

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摘要基于磁致伸缩材料标准平方模型和压电材料线性本构关系, 应用Hamilton变分原理建立了磁电传感器的磁-机-电耦合特性的动力学方程。建立的动力学方程考虑了磁致伸缩材料的磁滞现象和ΔE效应的影响。应用所建立的模型求解了LT型磁致伸缩/压电磁电传感器的输出特性, 与实验结果进行对比发现模型可较准确地预测磁电传感器在不同偏置磁场和交流驱动磁场激励下其输出电压随时间的变化关系。当偏置磁场为22.1kA/m, 正弦交流驱动磁场为7.4kA/m、频率为100Hz时, 计算结果和实验结果误差为0.9%。同时, 应用该模型还可以确定磁电传感器的最大交流驱动磁场。

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	张纳
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	黄文美
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关键词 ：磁电传感器, 有限元, Hamilton原理, 磁致伸缩, 压电效应

Abstract：The dynamic equation of magneto-mechanical-electric characteristics for magnetoelectric sensors is founded via Hamilton variational principles, based on the standard square equation of magnetostrictive materials and linear constitutive equation of piezoelectric materials. The magnetic hysteresis and ΔE effect of magnetostrictive materials for the dynamic equation are considered. The output-voltage characteristic of the magnetoelectric sensors is calculated by using the dynamic equation. The calculating results show that the model can predict the change of output voltage with time in different bias and driving magnetic fields. For example, the error between calculating result and experimental one is only 0.9%, in the bias magnetic field of 22.1kA/m, the driving magnetic field of 7.4kA/m and at the frequency of 100Hz. At same time, the model can be used to determine the maximum driving magnetic field of magnetoelectric sensors.

Key words： Magnetoelectric sensors finite element Hamilton principle magnetostriction piezoelectric effect

收稿日期: 2010-12-30 出版日期: 2014-03-20

PACS:

TM153

作者简介: 张纳女, 1978年生, 讲师, 博士研究生, 从事磁性材料与器件研究。王博文男, 1956年生, 教授, 博士生导师, 从事磁性材料与器件研究。

引用本文:

张纳, 王博文, 王莉, 李淑英, 王志华, 翁玲, 黄文美, 李娜. 磁致伸缩、压电层状复合磁电传感器非线性动态有限元模型[J]. 电工技术学报, 2012, 27(7): 146-152. Zhang Na, Wang Bowen, Wang Li, Li Shuying, Wang Zhihua, Weng Ling, Huang Wenmei, Li Na. Nonlinear Dynamic Finite Element Model for Magnetostrictive/ Piezoelectric Laminated Composite Magnetoelectric Sensors. Transactions of China Electrotechnical Society, 2012, 27(7): 146-152.

链接本文:

http://dgjsxb.ces-transaction.com/CN/Y2012/V27/I7/146

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