This paper presents the buckling analysis of rectangular sandwich plates with pure polymeric tapered cores and functionally graded carbon nanotube (FG-CNT) reinforced composite face sheets under static and harmonic dynamic loads. One uniform and four linearly-varying patterns are considered for the applied in-plane loads. The effective material properties of face sheets, in which the polymeric matrix is reinforced with aligned single-walled carbon nanotubes (SWCNT), are estimated using the extended rule of mixture. A higher-order zigzag shear deformation theory, which has the same number of dependent unknowns as the first-order theory, is employed to express the plate's displacement field. The governing equations are derived using Hamilton's principle and discretized by the spline finite strip method. The dynamic instability regions of plates with uniform and variable thickness are obtained by employing Bolotin's method. The accuracy of the present method is demonstrated by considering the problems for which solutions are available. A detailed numerical study is conducted to examine and compare the effects of different parameters, including the taper angle, type of the applied in-plane load, static and dynamic load factors, length-to-width ratios, the volume fraction of CNT, distribution pattern of CNTs along the thickness direction, temperature, and boundary conditions on the behavior of sandwich plate.

本文介绍了具有纯聚合物锥形芯和功能梯度碳纳米管（FG-CNT）增强复合面板的矩形夹心板在静态和谐波动态载荷下的屈曲分析。对于所施加的面内载荷，考虑了一种均匀且四种线性变化的模式。使用扩展的混合规则可以估算面板的有效材料属性，在该面板中，聚合物基体用对齐的单壁碳纳米管（SWCNT）增强。用高阶之字形剪切变形理论来表示板的位移场，该理论具有与一阶理论相同的相关未知数。控制方程是根据汉密尔顿原理导出的，并通过样条有限条法离散化。采用Bolotin法获得了厚度均匀且可变的板的动态失稳区域。通过考虑可获得解决方案的问题来证明本方法的准确性。进行了详细的数值研究，以检查和比较不同参数的影响，包括锥角，施加的平面载荷的类型，静态和动态载荷因子，长宽比，CNT的体积分数，分布碳纳米管沿厚度方向，温度和边界条件对夹层板行为的影响。