This paper presents the nonlinear static analysis of circular cylindrical sandwich shells using a higher-order thickness and shear deformation theory with nine kinematic parameters. The sandwich shell consists of a functionally graded porous core perfectly bonded with two carbon nanotubes (CNT) reinforced composite face sheets. The gradation is done in the thickness direction using three different types of distributions. An equivalent single layer theory is adopted to develop the model by assuming continuous displacements and strain functions across the thickness of the shell. The in-plane displacements and transverse deflections are expanded as third and fourth-order functions of thickness coordinate, respectively. The governing differential equations for the circular cylindrical shell are derived using the principle of minimum total potential energy and further discretized into algebraic equations by employing the Galerkin's method. These equations of motion are solved by adopting the arc-length continuation method, and the shell is analyzed for both the cases of displacement independent (radial distributed load) and displacement dependent (actual pressure) static pressurization. A parametric study is conducted to see the effect of different porosity coefficients, core-to-face sheet thickness ratios, porosity distributions, and boundary conditions.

本文介绍了使用具有九个运动学参数的高阶厚度和剪切变形理论对圆柱形夹层壳进行非线性静力分析。夹心壳由功能分级的多孔核组成，该核与两个碳纳米管 (CNT) 增强复合面板完美结合。使用三种不同类型的分布在厚度方向上进行渐变。通过假设跨壳厚度的连续位移和应变函数，采用等效单层理论来开发模型。平面内位移和横向偏转分别扩展为厚度坐标的三阶和四阶函数。圆柱壳的控制微分方程使用最小总势能原理导出，并通过使用伽辽金方法进一步离散为代数方程。采用弧长延拓法求解这些运动方程，并针对位移无关（径向分布载荷）和位移相关（实际压力）静压两种情况对壳体进行分析。甲参数研究以看到不同的孔隙率系数，芯到面的效果片厚度比，孔隙度分布和边界条件。