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假设材料常数和电、磁常数沿板厚方向呈梯度变化,将电磁功能梯度材料板沿厚度方向划分为层单元,建立单元的控制方程,然后根据单元之间的连续条件将单元控制方程装配成系统的控制方程,求解控制方程,得到不同模态波的弥散曲线,分析了电磁参数对波的弥散特性的影响,同时研究了材料梯度对弹性位移、静电势和静磁势分布的影响,并对磁电功能梯度材料中波的六个特征波面进行了分析。计算结果表明材料梯度引起弹性位移、静电势、静磁势的分布集中于材料参数梯度减少的方向,材料为正交各向异性弹性材料。
Assuming that the material constants and the electric and magnetic constants change along the thickness direction, the electromagnetic functionally graded material plate is divided into layer elements along the thickness direction, and the governing equations of the elements are established. Then, according to the continuous condition between elements, The governing equations of the system are obtained. The governing equations are solved and the dispersion curves of different modes are obtained. The influence of the electromagnetic parameters on the dispersion of the waves is analyzed. At the same time, the influence of material gradient on the elastic displacement, electrostatic potential and static magnetic potential distribution is studied. The six characteristic waves in the magnetic functional gradient material are analyzed. The calculated results show that the material gradient induces elastic displacement. The distribution of electrostatic potential and static magnetic potential is concentrated in the direction of decreasing the gradient of material parameters. The material is orthotropic elastic material.