功能梯度磁电弹性圆板的静、动态分析

Tian-chong Yu, G. Nie, Z. Zhong
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引用次数: 0

摘要

利用状态空间法和一维微分正交法的半解析方法,得到了材料性质仅在厚度方向上变化的功能梯度磁电弹性圆板的静、动态响应。用状态空间法可得到厚度方向的解析解,用一维微分正交法可得到径向方向的近似解。基于磁电弹性材料的弹性理论,假设材料的力学、电学和磁性能沿厚度方向连续变化,并具有相同的指数分布,可以得到关于位移、电势和磁势的平衡微分方程。数值结果表明了该方法的准确性和优越性。通过算例分析,得到了压电和压磁材料中圆板反应的一些规律性特征,所得结果可用于相应结构的设计。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Static and dynamic analyses of a Functionally Graded Magnetoelectroelastic Circular Plate
A semi-analytical method, which makes use of the state space method and the one-dimensional differential quadrature method, is used to obtain the static and dynamic responses of a functionally graded magnetoelectroelastic circular plate with the material property varying only in the thickness direction. The analytical solution in the thickness direction can be obtained by using the state space method and the approximate solution in the radial direction can be derived through using the one-dimensional differential quadrature method. Based on the elastic theory of magnetoelectroelastic materials and the assumption that the mechanical, electric and magnetic properties of the materials vary continuously along the thickness direction and have the same exponential distribution, differential equations of equilibrium in terms of displacements, electric potential and magnetic potential can be presented. Numerical results are given to demonstrate the accuracy and superiority of the presented method. Some regular characteristics about the reactions of the circular plate in piezoelectric and piezomagnetic materials can be obtained by examples and the results can be used in the design of the corresponding structures.
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