A comparative assessment of two sets of refined higher order theories, one with only shear deformation and another with both shear and normal deformations, is presented for the first time for the thin and moderately thick, CNT-reinforced cylindrical shell panels. The comparisons are also made with simple first order shear deformation theory (FSDT). The governing equations for static and free vibration analyses are systematically derived using a variational principle and solved analytically using Navier’s method. Effective material properties are evaluated using extended rule of mixture for continuously graded CNT fibres in thickness direction. Efficiency parameters are adopted from existing literature to effectively map the nano-scale CNT properties to macro-scale polymer matrix. Transverse shear stresses are recovered using the popular three-dimensional (3D) elasticity equilibrium equations, though there are issues with this scheme which are documented elsewhere, and a comparison with direct constitutive relations’ based evaluation is made. Results highlight the utility of thickness stretching kinematic models and advantage of one-step recovery procedure over a priori-constrained shear traction model. The computational advantage of higher order shear deformation theory make them more suitable for thin and low volume fraction nanocomposites. The estimates of FSDT suffer from significant errors for these heterogeneous materials. The benchmark results using refined shear and normal deformation model are presented for CNT-reinforced sandwich cylindrical panels. The dependence of volume fraction and geometrical parameters on the stress and free vibration response is also studied.

首次对薄且中等厚度的CNT增强圆柱壳板提出了两组精确的高阶理论的比较评估，其中一组仅具有剪切变形，而另一组仅具有剪切变形和法向变形。还使用简单的一阶剪切变形理论（FSDT）进行了比较。静态和自由振动分析的控制方程是使用变分原理系统导出的，并使用Navier方法进行了解析求解。使用混合物的扩展规则评估连续厚度的CNT纤维在厚度方向上的有效材料性能。现有文献采用了效率参数，以有效地将纳米级CNT性能映射到宏观聚合物基体。横向剪应力可以使用流行的三维（3D）弹性平衡方程来恢复，尽管该方案存在一些问题，这些问题已在其他地方进行了证明，并与基于直接本构关系的评估进行了比较。结果突出了厚度拉伸运动学模型的实用性以及与先验约束切变牵引模型相比的一步恢复程序的优势。高阶剪切变形理论的计算优势使它们更适合于薄而低体积分数的纳米复合材料。对于这些异质材料，FSDT的估算存在重大误差。提出了使用精细剪切和法向变形模型的基准结果，用于CNT增强的夹心圆柱面板。