This work aims to evaluate dynamic stability of micro-shell panels enriched by nanocomposites based on an analytical approach. In order to capture the effects of size on the mechanical behaviour of the micro-shell panels, the modified couple stress theory is employed which uses the material length scale parameter. The fundamental equations incorporating kinematic, constitutive, equilibrium and compatibility equations, are developed based on the first-order shear deformation theory (FSDT) which supports analysis of thin and moderately thick micro-shells. The extended fundamental differential equations are solved by the Galerkin method which results a closed-form solution for evaluating the dynamic stability of the proposed micro-shell panels. Then, some comparative studies are conducted to validate accuracy of the proposed method. Finally, by performing an extended parametric study, effects of the material length scale parameter on the dynamic stability of the proposed micro-shell panels are investigated.

这项工作旨在基于分析方法评估富含纳米复合材料的微壳面板的动态稳定性。为了捕捉尺寸对微壳板力学行为的影响，采用了改进的耦合应力理论，该理论使用了材料长度尺度参数。结合运动学、本构、平衡和相容性方程的基本方程是基于一阶剪切变形理论 (FSDT) 开发的，该理论支持对薄和中等厚度的微壳进行分析。扩展的基本微分方程通过 Galerkin 方法求解，得到一个封闭形式的解，用于评估所提出的微壳面板的动态稳定性。然后，进行了一些比较研究以验证所提出方法的准确性。最后，