Abstract The electro-mechanical buckling response for functionally graded piezoelectric plates subjected to external electric voltage is analyzed based on a quasi-3D refined plate theory. The plate material properties possess continuous graded variation across the thickness based on the power-law form. The total potential energy principle is used to obtain the equilibrium equations. Navier's procedure is applied to derive the solution for the buckling of a simply supported functionally graded piezoelectric plate. A numerical example is presented to validate the accuracy of the present analysis. The critical buckling of actuated FGP plates is determined. The influence of external electric voltage, the geometry of the plate, and material exponent on the critical buckling are reported.

中文翻译：

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通过准 3D 精细理论对驱动功能梯度压电板进行屈曲分析

摘要 基于准3D精细板理论，分析了功能梯度压电板在外部电压作用下的机电屈曲响应。基于幂律形式，板材特性在厚度上具有连续的渐变变化。使用总势能原理来获得平衡方程。Navier 程序用于推导出简支功能梯度压电板屈曲的解。给出了一个数值例子来验证当前分析的准确性。确定了驱动 FGP 板的临界屈曲。报告了外部电压、板的几何形状和材料指数对临界屈曲的影响。