This paper is concerned with influence of porosity and mechanical/electrical boundary conditions on buckling of moderately thick, porous sector and annular sector plates integrated with piezoelectric face sheets. Presence of both porous and piezoelectric elements in a configuration provides new opportunities for manipulating the buckling load broadly. To demonstrate these possibilities, across the thickness of the core plate, varying porosity profiles are considered, yet the network of pores is assumed to be free of fluid. The governing equations of the sandwich plate under uniform in-plane mechanical loading are obtained by taking the Mindlin plate theory and von Kármán assumptions into account; and later the nonlinear nature of the problem is simplified through the use of the adjacent equilibrium criterion. Next, decoupled formulae for all the unknown kinematic variables are reached by introducing two transformation functions. The critical buckling loads are computed analytically by assuming simply supported radial edges and classical boundary conditions for the circumferential edges. Eventually, the effect of the mechanical/electrical boundary conditions, geometrical parameters and porosity is realized by comprehensive parametric studies.

本文关注孔隙率和机械/电气边界条件对与压电面板集成的中等厚度多孔扇形和环形扇形板屈曲的影响。配置中同时存在多孔元件和压电元件为广泛操纵屈曲载荷提供了新的机会。为了证明这些可能性，在整个岩心板的厚度上，考虑了不同的孔隙度分布，但假设孔隙网络没有流体。考虑Mindlin板理论和von Kármán假设，得到了面内均匀载荷作用下夹层板的控制方程；后来通过使用相邻平衡准则简化了问题的非线性性质。下一个，所有未知运动学变量的解耦公式都是通过引入两个转换函数来实现的。通过假设简单支撑的径向边缘和圆周边缘的经典边界条件来分析计算临界屈曲载荷。最终，通过综合参数研究实现了机械/电气边界条件、几何参数和孔隙率的影响。