The present work investigates the postbuckling, and postbuckled vibration behaviour of initially imperfect trapezoidal sandwich plates with functionally graded carbon nanotube reinforced composite (FG-CNTRC) face sheets and FG porous metal foam core under the influence of non-uniform edge compression. The plate's kinematic assumptions are based on a refined higher order theory and the strain-displacement relations include von Karman assumptions for geometrical nonlinearity. The weak form of governing equations derived using Hamilton's principle is transformed into a discretized form of algebraic equations using the element free Galerkin (EFG) method in conjunction with moving kriging (MK) interpolation functions. The pre-buckling stresses are determined using static analysis to evaluate accurate critical buckling loads. Modified Riks technique is used to trace nonlinear equilibrium paths. Parametric studies include the effect of CNT distribution in face sheets, porosity distribution in the core layer and edge loading conditions on the nonlinear stability and vibration behaviour of sandwich plates. New results on trapezoidal sandwich plates with initial imperfections, hitherto not found in the literature, are presented for the first time, which can be used as benchmark solutions for further research.

目前的工作研究了具有功能梯度碳纳米管增强复合材料 (FG-CNTRC) 面板和 FG 多孔金属泡沫芯的最初不完美梯形夹层板在非均匀边缘压缩的影响下的后屈曲和后屈曲振动行为。板的运动学假设基于改进的高阶理论，应变-位移关系包括几何非线性的 von Karman 假设。使用无元伽辽金 (EFG) 方法结合移动克里金法 (MK) 将使用 Hamilton 原理导出的控制方程的弱形式转换为代数方程的离散形式插值函数。预屈曲应力是使用静态分析确定的，以评估准确的临界屈曲载荷。改进的 Riks 技术用于跟踪非线性平衡路径。参数研究包括面板中的 CNT 分布、芯层中的孔隙率分布和边缘加载条件对夹层板的非线性稳定性和振动行为的影响。首次提出了具有初始缺陷的梯形夹层板的新结果，这是迄今为止在文献中没有发现的，可作为进一步研究的基准解决方案。