In this research, the dynamic stability of the double-bonded annular sandwich microplate is investigated. Face sheets are made from composite materials reinforced by carbon nanotubes in which mechanical properties are obtained by the extended rule of the mixture. Also, the core layer is made from a honeycomb aluminum which is defined by the geometric parameters of the unit cell and mechanical properties of the virgin core material. The equations of motion are derived from Hamilton’s principle and solved by the differential quadrature method (DQM) based on higher order shear deformation theory (HSDT) and modified couple stress theory (MCST). The results are compared with the obtained results by the other literature to examine the accuracy of the present formulation. The dynamic stability of the double-bonded annular sandwich microplate with hexagonal honeycomb core including variations of core thickness, inclined angle, and aspect ratio of the unit cell are discussed. Also, the effects of motion direction of the structure, viscoelastic foundation, material length scale parameter, volume fractions of CNTs in face sheets, and the core thickness to total thickness ratio on dynamic instability region are presented.

在这项研究中，研究了双键环形夹层微板的动态稳定性。面板由碳纳米管增强的复合材料制成，其中机械性能通过混合物的扩展规律获得。而且，芯层由蜂窝铝制成，其由晶胞的几何参数和原始芯材料的机械性能限定。运动方程式是从汉密尔顿原理导出的，并基于高阶剪切变形理论（HSDT）和修正耦合应力理论（MCST）通过微分求积法（DQM）求解。将结果与其他文献中获得的结果进行比较，以检验本制剂的准确性。讨论了具有六角蜂窝状芯的双键环形夹层微板的动态稳定性，包括芯厚度，单位角度的倾斜角和长宽比的变化。此外，还介绍了结构的运动方向，粘弹性基础，材料长度尺度参数，面板中CNT的体积分数以及芯厚度与总厚度之比对动态不稳定性区域的影响。