磁电弹功能梯度材料板中的波动特性
Characteristics of waves in a functionally graded magneto - electro - elastic plate
-
摘要: 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。Abstract: Material parameters were supposed to have a gradient change in the thickness direction. The functionally graded electro-magneto-elastic plate was divided into layer elements along the thickness direction. The governing equations of an element were obtained, and then the governing equations of the elements were assembled into the total equations. The dispersion curves of waves in the functionally graded electro-magneto-elastic plate can be obtained by the solution of the governing equations. The effects of the parameters of the electric and magnetic materials on the dispersion of wave were analyzed. The displacement and electrostatic potential and magneto-static potential distributions of the wave modes were investigated. The six characteristic surfaces of the wave were analyzed. The numeric results show that the elastic displacement, static electro potential and static magneto potential distribution converge on the thickness direction of the smaller parameters. The functionally graded electro-magneto-elastic material is orthotropic.