The main objective of this research work is focused on the vibration analysis of auxetic sandwich cylindrical shell structures resting on an elastic foundation. In the analysis, the sandwich shell structure is composed of three layers in which the middle layer consists of auxetic material with a negative Poisson’s ratio, and the two skin layers are isotropic homogeneous materials. The motion equation is extracted according to the first-order shear deformation theory (FSDT) and the Hamilton principle. The governing equations of coupled partial differential equations are solved by the generalized differential quadrature (GDQ) method, and the natural frequencies are determined. By comparing the experimental results with the numerical results calculated by commercial finite element software, the validity of the proposed theoretical model is verified. Finally, the influences of geometrical parameters and elastic foundation on the vibration behavior of sandwich shell structures have been investigated.

中文翻译：

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弹性地基拉胀夹层圆柱壳的振动特性分析

这项研究工作的主要目的是对基于弹性地基的拉胀夹层圆柱壳结构的振动分析。在分析中，夹心壳结构由三层组成，中间层由负泊松比的拉胀材料组成，两层表层为各向同性均质材料。根据一阶剪切变形理论（FSDT）和哈密顿原理提取运动方程。耦合偏微分方程的控制方程采用广义微分求积法（GDQ）求解，确定固有频率。通过将实验结果与商用有限元软件计算的数值结果进行对比，验证了所提理论模型的有效性。