The present work is an attempt to develop a simple, accurate and widely applicable finite element formulation having a C₀ continuity of transverse displacement at nodes, for static and dynamic analyses of functionally graded sandwich skew shell (FGSSS) panels. A layerwise displacement field based on first-order shear-deformation theory for each layer along with Sanders’ approximation has been adopted for the analysis. Compatibility conditions are imposed at the layer interfaces to satisfy displacement continuity. Two different configurations of FGSSS are taken up in the present investigation. In the first configuration, the top and bottom layers of the panel are made of functionally graded material (FGM) and the core is made of pure metal, whereas in the second configuration, the top and bottom layers are made of pure ceramic and pure metal, respectively and the core is considered to be made of FGM. The material properties of both configurations of FGM panels are estimated according to the rule of mixture. It is observed from the analysis that the present finite element formulation is simple, accurate and computationally efficient. Parameters like skew angle, span to thickness ratio, core to facesheet thickness ratio, volume fraction and boundary conditions have a significant effect on static and dynamic behavior of functionally graded sandwich skew shell panels.

当前的工作是尝试开发一种简单，准确和广泛适用的具有C _0的有限元公式节点横向位移的连续性，用于功能梯度夹层斜壳（FGSSS）面板的静态和动态分析。分析采用了基于一阶剪切变形理论的每一层的分层位移场以及桑德斯近似值。为了满足位移连续性，在层界面处施加了兼容性条件。在本研究中采用了FGSSS的两种不同配置。在第一种配置中，面板的顶层和底层由功能渐变材料（FGM）制成，核心由纯金属制成，而在第二种配置中，顶层和底层由纯陶瓷和纯金属制成，并且核心被认为是由FGM制成。FGM面板的两种配置的材料性能均根据混合规则进行估算。从分析中可以看出，当前的有限元公式简单，准确且计算效率高。诸如倾斜角，跨度与厚度之比，纤芯与面板厚度之比，体积分数和边界条件之类的参数对功能梯度夹层斜壳面板的静态和动态行为具有重大影响。