非线性磁电层合材料的对称等效电路理论及数值仿真分析  

Symmetric equivalent circuit theory and numerical simulation analysis of nonlinear magnetoelectric laminated composite

作　　者：张小丽 殷秋鹏 李果 姚曦 丁礼磊 Zhang Xiao-Li;Yin Qiu-Peng;Li Guo;Yao Xi;Ding Li-Lei(School of Electronic and Information Engineering,Ankang University,Ankang 725000,China;Shanghai Shiwen Information Technology Limited Company,Shanghai 201306,China;School of Automation,Xi’an University of Posts&Telecommunications,Xi’an 710121,China;School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]安康学院电子与信息工程学院,安康725000 [2]上海实问信息科技有限公司,上海201306 [3]西安邮电大学自动化学院,西安710121 [4]兰州交通大学数理学院,兰州730070

出　　处：《物理学报》2024年第23期192-201,共10页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:12174004,12104369);甘肃省自然科学基金(批准号:23JRRA1805);陕西省教育厅科学研究计划(批准号:20JK0475)资助的课题.

摘　　要：本文研究了长度方向磁化、厚度方向极化的3层磁电复合材料的非线性特性.首先,基于Z-L模型,根据磁化强度的数值解特征,拟合了磁化强度函数,进一步推导了超磁致伸缩材料的动态参数,如动态压磁系数、动态弹性柔顺系数和动态磁导率,并分析了偏置磁场和预应力对相应参数的影响;其次,基于非线性磁致伸缩本构方程,建立了磁电层合材料的对称磁-弹-电等效电路模型,并推导了磁电系数表达式,分析了其随偏置磁场和预应力的变化曲线,与已报道的结果具有很好的一致性;最后,为了与理论结果进行比较,采用COMSOL软件设置相同的参数,绘制相应的磁电系数频率曲线,二者结果符合较好,并提取了最大峰值模态振动形状,可以方便地观察到磁电层合材料长度方向的振动情况.结果表明,这种对称磁-弹-电等效电路理论模型及使用COMSOL软件数值模拟的方法是可取的,为进一步进行磁电层合材料的非线性分析奠定了基础,使设计高精度磁电微型器件成为可能.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 is fitted,and the dynamic parameters of the giant magnetostrictive material,including dynamic piezomagnetic coefficient,dynamic elastic compliance coefficient,and dynamic magnetic permeability,are further derived.The effects of bias magnetic field and prestress on the corresponding composite are analyzed.Secondly,based on the nonlinear magnetostrictive constitutive equation,a symmetric magneto-elastic-electric equivalent circuit model of magnetoelectric laminate composite is established,and the expression of magnetoelectric coefficient is derived.The variation curve with bias magnetic field and prestress is analyzed,which is consistent with the conclusions of existing literature[Zhou H M,Ou X W,Xiao Y,Qu S X,Wu H P 2013 Smart Mater.Struct.22035018;Zhou H M,Li C,Xuan L M,Wei J 2011 Smart Mater.Struct.20035001].Finally,in order to compare with the theoretical results,the same parameters are set by using COMSOL software,and the corresponding magnetoelectric coefficient frequency curve is plotted.The two results are in good agreement with each other,and the maximum peak modal vibration shape is extracted,making it easy to observe the vibration of the magneto electric laminated 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,thereby laying the foundation for further nonlinear analysis of magnetoelectric laminate composite and making it possible to design high-precision magnetoelectric micro devices.

关 键 词：非线性 磁电层合材料 对称等效电路理论 数值仿真 

分 类 号：TB33[一般工业技术—材料科学与工程]