This study investigates the influence of large amplitude vibration on geometrically imperfect sandwich curved panels embedded with gradient metallic cellular (GMC) core using an efficient nonlinear finite element formulation based on higher-order shear deformation theory (HSDT). The cores of the sandwich curved panels are assumed to have three distinct porosity distributions. The material properties of the sandwich curved panel’s GMC core layer vary in the thickness direction as a function of porosity coefficient and mass density. The present nonlinear finite element model is validated with limited results available in the open literature, and few new results are also computed that can be used as a benchmark solution. The influence of porosity coefficient, porosity distribution type, amplitude ratio, imperfection amplitude, and curvature ratio on the free vibration characteristics of the geometrically imperfect sandwich curved panels with the GMC core are studied in detail.

中文翻译：

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大振幅振动对嵌入梯度金属蜂窝芯的几何不完美夹心曲面板的影响

本研究使用基于高阶剪切变形理论 (HSDT) 的有效非线性有限元公式，研究大振幅振动对嵌入梯度金属蜂窝 (GMC) 芯的几何不完美夹层曲面面板的影响。假定夹层曲面板的芯具有三种不同的孔隙率分布。夹层曲面面板的 GMC 芯层的材料特性在厚度方向上随孔隙率系数和质量密度的变化而变化。目前的非线性有限元模型已通过公开文献中可用的有限结果进行了验证，并且还计算了一些可用作基准解决方案的新结果。孔隙度系数、孔隙度分布类型、幅值比、缺陷幅值、