This paper explores the high-accuracy analysis of bending and frequency response of the sandwich cylindrical shell with functionally graded (FG) carbon nanotubes reinforced composite (FG-CNTRC) face-sheets and polymeric core under the effect of initial axial stress and various mechanical loading based upon the three-dimensional theory of elasticity for various sets of boundary conditions. The sandwich structure is composed of multilayers with uniformly dispersed carbon nanotubes (CNT) in each fictitious layer of face-sheets, but its weight fraction changes layer-by-layer along the thickness direction. With the aid of compatibility conditions, the sandwich structure with three layers is modeled. Analytical bending and frequency solutions are obtained for simply supported shells. Also, the state-space based differential quadrature method (SS-DQM) is employed to determine the bending and frequency response of the sandwich cylindrical shell by considering various boundary conditions. The bending response of the sandwich cylindrical shell is obtained under the impact of various mechanical loadings. The influences of several parameters, such as initial stress and various mechanical loadings are investigated on the bending and frequency of the structures. The results of the presented study can be served as benchmarks to assess the validity of the conventional two-dimensional theory.

中文翻译：

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具有 FG-CNTRC 面板和聚合物芯的夹心圆柱壳在初始应力下的弯曲和频率行为的弹性解

本文探讨了具有功能梯度 (FG) 碳纳米管增强复合材料 (FG-CNTRC) 面板和聚合物芯的夹层圆柱壳在初始轴向应力和各种机械载荷作用下的弯曲和频率响应的高精度分析基于各种边界条件集的三维弹性理论。夹层结构由多层组成，碳纳米管（CNT）均匀分布在每个虚构的面板层中，但其重量分数沿厚度方向逐层变化。借助相容性条件，对三层夹层结构进行建模。得到简支壳的解析弯曲和频率解。还，采用基于状态空间的微分求积法（SS-DQM），通过考虑各种边界条件来确定夹层圆柱壳的弯曲和频率响应。夹层圆柱壳的弯曲响应是在各种机械载荷的影响下获得的。研究了初始应力和各种机械载荷等几个参数对结构弯曲和频率的影响。所提出的研究结果可以作为评估传统二维理论有效性的基准。研究了初始应力和各种机械载荷等几个参数对结构弯曲和频率的影响。所提出的研究结果可以作为评估传统二维理论有效性的基准。研究了初始应力和各种机械载荷等几个参数对结构弯曲和频率的影响。所提出的研究结果可以作为评估传统二维理论有效性的基准。