This is the first research on the pre-thermal buckling and vibration analysis of imperfect graphene nanoplatelets reinforced composite (GPLRC) doubly curved open cylindrical micropanel in the framework of numerical based two dimensional-generalized differential quadrature method (2D-GDQM). Additionally, the small-scale effects are analyzed based on nonlocal strain gradient theory (NSGT). The stresses and strains are obtained using the high order shear deformable theory (HOSDT). Rule of mixture is employed to obtain varying mass density, thermal expansion, and Poisson’s ratio, while module of elasticity is computed by modified Halpin–Tsai model. In addition, nonlinear temperature changes along the GPLRC micro panel’s thickness direction. Governing equations and boundary conditions of the GPLRC doubly curved open cylindrical micropanel are obtained by implementing Hamilton’s principle. Besides, for the validation of the results, the results of current model are compared to the results acquired from analytical method. The results show that GPL weight function ($g_{\mathit{GPL}}$), imperfection, the ratio of shell curvatures (R₁/R₂), NSG parameters, and geometric parameters have significant influence on the frequency and pre-thermal buckling characteristics of the GPLRC doubly curved open cylindrical micropanel.

这是在基于二维广义广义微分正交方法（2D-GDQM）的框架下，对不完善的石墨烯纳米片增强复合材料（GPLRC）双曲开口圆柱形微面板的预热屈曲和振动分析的首次研究。此外，基于非局部应变梯度理论（NSGT）分析了小尺度效应。使用高阶剪切可变形理论（HOSDT）获得应力和应变。混合规则用于获得变化的质量密度，热膨胀和泊松比，而弹性模量则通过修改后的Halpin-Tsai模型来计算。另外，非线性温度沿GPLRC微面板的厚度方向变化。通过实施汉密尔顿原理，得到了GPLRC双曲开孔圆柱微面板的控制方程和边界条件。此外，为了验证结果，将当前模型的结果与从分析方法获得的结果进行比较。结果表明，GPL权重函数（$G_{\mathit{GPL}}$），缺陷，壳曲率比（R ₁ / R ₂），NSG参数和几何参数对GPLRC双曲线开孔圆柱微面板的频率和预热屈曲特性有重大影响。