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An analytical solution for a multilayered magneto-electro-elastic circular plate under simply supported lateral boundary conditions

机译:简支横向边界条件下多层磁电弹性圆板的解析解

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摘要

We derive, in this paper, the analytical solution for a three-dimensional transversely isotropic axisymmetric multilayered magneto-electro-elastic (MEE) circular plate under simply supported boundary conditions. The state space vector, the finite Hankel transform and propagating matrix methods are utilized together to obtain the full-field solutions for the MEE plate made of piezoelectric (PE) and piezomagnetic (PM) layers. Numerical examples for three-layered and five-layered PE/PM composites with different stacking sequences and under different loading conditions are presented and discussed. These results can serve as benchmark solutions for future numerical analyses of layered MEE plates.
机译:在本文中,我们导出了在简单支撑边界条件下三维横观各向同性轴对称多层磁电弹性(MEE)圆形板的解析解。将状态空间矢量,有限汉克尔变换和传播矩阵方法一起使用,以获得由压电(PE)和压电(PM)层制成的MEE板的全场解。给出并讨论了三层和五层PE / PM复合材料在不同的加载顺序和不同的加载条件下的数值实例。这些结果可作为将来对多层MEE板进行数值分析的基准解决方案。

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