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论文基于超磁致伸缩材料非线性本构,从基本的控制方程出发,对层状柱壳磁电复合材料动态和静态情形下的非线性磁电响应进行理论研究,讨论了不同边界下磁场频率以及压电材料厚度比对磁电系数的影响,并得到了不同预压力下磁场大小对于磁电系数的影响.数值计算结果显示,对于Tefernol-D/PZT-5层状柱壳磁电复合材料,随着预压力值增大,磁电系数最大值减小,取得最大值时对应的磁场值逐渐增大;不同边界条件、磁场频率和磁场大小下,材料厚度比对磁电系数也有着不同的影响.特别地,当外加磁场频率较大时,相应于压电层厚度比,磁电系数呈现多极值现象.
Based on the nonlinear constitutive relationship of giant magnetostrictive materials, this dissertation studies the nonlinear magneto-electro-magnetic response of layered column-shell magnetoelectric composites under static and dynamic conditions based on the governing equations. The effects of different magnetic field frequencies And the effect of the thickness ratio of the piezoelectric material on the magnetoelectric coefficient was studied and the influence of the magnetic field under different pre-pressures on the magnetoelectric coefficient was obtained. Numerical results show that for the Tefernol-D / PZT-5 layered column-shell magnetoelectric composite , With the pre-pressure value increases, the maximum value of the coefficient of magneto-electric decreases, the corresponding magnetic field value increases gradually when the maximum value is obtained. Under different boundary conditions, magnetic field frequency and magnetic field size, the material thickness ratio also has different magnetoelectric coefficient In particular, when the applied magnetic field frequency is large, the magnetoelectric coefficient exhibits a multi-pole phenomenon corresponding to the thickness ratio of the piezoelectric layer.