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In order to further study the nonlinear characteristics of the resonance magnetoelectric coefficient and vibration mode at the resonance frequency, three-layer magnetoelectric composite with length direction magnetization and thickness direction polarization is investigated in the article. Firstly, based on the Z-L model and the numerical solution characteristics of magnetization intensity, the magnetization intensity function was fitted, and the dynamic parameters of the giant magnetostrictive material, including dynamic piezomagnetic coefficient, dynamic elastic compliance coefficient, and dynamic magnetic permeability, were further derived. The effects of bias magnetic field and prestress on the corresponding composite were analyzed; Secondly, based on the nonlinear magnetostrictive constitutive equation, a symmetric magneto-elastic-electric equivalent circuit model of magnetoelectric laminate composite was established, and the expression of magnetoelectric coefficient was derived. The variation curve with bias magnetic field and prestress was analyzed, which is consistent with the conclusions of existing literature [8] and [9]; Finally, in order to compare with the theoretical results, the same parameters were set using COMSOL software, and the corresponding magnetoelectric coefficient frequency curve was plotted. The two results were in good agreement, and the maximum peak modal vibration shape was extracted, which can conveniently observe the vibration of the magneto electric laminate composite in the length direction. The results indicate that the theoretical model of this symmetric magneto-elastic-electric equivalent circuit and the numerical simulation method using COMSOL software are feasible, laying the foundation for further nonlinear analysis of magnetoelectric laminate composite and making it possible to design high-precision magnetoelectric micro devices.
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Keywords:
- nonlinear /
- magnetoelectric laminated composite /
- symmetric equivalent circuit theory /
- numerical simulation
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图 1 磁电层状复合材料的结构示意图
Figure 1. Structural schematic diagram of magnetoelectric laminated composite.
图 2 磁化强度随偏置磁场和预应力的变化曲线
Figure 2. Curves of magnetization intensity versus bias magnetic field and prestress.
图 3 磁化强度拟合函数随偏置磁场和预应力的变化曲线
Figure 3. Curves of magnetization intensity fitting function versus bias magnetic field and prestress.
图 4 不同预应力下, 压磁系数随偏置磁场的变化曲线
Figure 4. Curves of piezomagnetic coefficient versus bias magnetic field under different prestress.
图 6 不同预应力下, 磁导率随偏置磁场的变化曲线
Figure 6. Curves of piezomagnetic coefficient versus bias magnetic field under different prestress.
图 5 不同偏置磁场下, 弹性柔顺系数随预应力的变化曲线
Figure 5. Curves of elastic compliance coefficient versus prestress under different bias magnetic field.
图 7 磁电层状复合材料 (a) 对称磁-弹-电等效电路; (b) 在自由边界条件下的对称等效电路
Figure 7. (a) Symmetric magneto-elastic-electric equivalent circuit and (b) symmetric equivalent circuit under free boundary conditions of magnetoelectric laminated composite.
图 8 频率1 kHz处不同预应力时磁电系数随偏置磁场的变化曲线
Figure 8. The variation curve of magnetoelectric coefficient with bias magnetic field under different prestress at frequency of 1 kHz.
图 9 共振频率处不同预应力时磁电系数随偏置磁场的变化曲线
Figure 9. The variation curve of magnetoelectric coefficient with bias magnetic field under different prestress at resonance frequency.
图 10 磁电层合材料的(a)仿真模型和(b)网格划分
Figure 10. (a) Simulation model and (b) grid division of magnetoelectric laminated composite.
图 11 偏置磁场750 Oe预应力0 MPa处磁电系数的频率曲线
Figure 11. Frequency curve of magnetoelectric coefficient at bias magnetic field of 750 Oe and prestress of 0 MPa.
图 12 磁电层合材料共振频率处的振动模态
Figure 12. Vibration mode at the resonance frequency of magnetoelectric laminated composite.
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[1] 谢冰鸿, 徐国凯, 肖绍球, 喻忠军, 朱大立 2023 物理学报 11 117501
Xie B H, Xu G K, Xiao S Q, Yu Z J, Zhu D L 2023 Acta Phys. Sin. 11 117501
[2] Truong B D 2020 IEEE Sens. J. 2967808
[3] Han J, Zhang J J, Gao Y W 2018 J. Magn. Magn. Mater. 466 200
Google Scholar
[4] 杨娜娜, 陈轩, 汪尧进 2018 物理学报 15 157508
Google Scholar
Yang N N, Chen X, Wang Y J 2018 Acta Phys. Sin. 15 157508
Google Scholar
[5] Zhang X L, Zhou J P, Yao X, Yang Z P, Zhang G B 2020 J. Magn. Magn. Mater. 501 166411
Google Scholar
[6] Zheng X J, Sun L 2006 J. Appl. Phys. 100 063906
[7] Lin L Z, Wan Y P, Li F X 2012 IEEE Trans. Ultrason. Ferroelectr. Freq. Control 7 1568
[8] Zhou H M, Ou X W, Xiao Y, Qu S X, Wu H P 2013 Smart Mater. Struct. 22 035018
[9] Zhou H M, Li C, Xuan L M, Wei J 2011 Smart Mater. Struct. 20 035001
Google Scholar
[10] Liang Y R, Zheng X J 2007 Acta Mech. Solida Sin. 20 283
Google Scholar
[11] Moffett M B, Linberg J, Mclaughlin E A 1991 J. Acoust. Soc. Am. 89 1448
Google Scholar
[12] Zheng X J, Liu X E 2005 J. Appl. Phys. 97 053901
Google Scholar
[13] Zhou H M, Cui X L 2014 Smart Mater. Struct. 23 105104
[14] Shi Y, 2018 Compos. Struct. 185 474
Google Scholar
[15] Li J Z, Wen Y M, Li P, Yang J 2017 IEEE Trans. Power Electr. 53 2500406
[16] Muchenik T I, Barbero E J 2015 Smart Mater. Struct. 24 025039
Google Scholar
[17] Zhou J P, Yang Y, Zhang G B, Peng J H, Liu P 2016 Compos. Struct. 155 107
Google Scholar
[18] Zhang X L, Zhou J P, Yao X, Yang Z P, Zhang G B 2019 AIP Adv. 9 105315
Google Scholar
[19] 卞雷祥, 文玉梅, 李平 2009 物理学报 58 4205
Google Scholar
Bian L X, Wen Y M, Li P 2009 Acta Phys. Sin. 58 4205
Google Scholar
[20] Zhou H M, Xuan L M, Li C, Wei J 2011 J. Magn. Magn. Mater. 323 2802
[21] Boukazouha F, Poulin-Vittrant G, Tran-Huu-Hue L P, Bavencoffe M, Boubenider F 2015 Ultrasonics 60 41
Google Scholar
[22] Malleron K, Talleb H, Gensbittel A, Ren Z 2017 IEEE Trans. Magn. 53 8102104
[23] Fu X, Gou Y 2022 Appl. Acoust. 193 108752
Google Scholar
[24] Zhang X L, Yin Q P, Li G, Yao X 2022 J. Magn. Magn. Mater. 564 170112
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