For the first time, the nonlinear forced vibration analysis of graphene nanoplatelets reinforced composite (GPLRC) annular plate under hygro-thermal environment and subjected to mechanical loading is presented. The GPLRC imperfect annular plate’s displacement fields are determined using third-order shear deformation theory (third-order SDT) and nonlinearity of vibration behavior of this structure is taken into account considering von Karman nonlinear shell model. Energy method known as Hamilton principle is applied to create the motion equations governed to the shell structures, while they are solved using generalized differential quadrature method (GDQM) as well as perturbation method (PM). Ultimately, the research’s outcomes reveal that increasing the value of the moisture change ($\Delta H$) and orientation angle parameter ($\theta$), and the rigidity of the boundary conditions lead to an increase in the structure’s frequency. Besides, whenever the values of the nonlinear parameter ($\gamma$) are positive and negative, the dynamic behavior of the plate tends to have hardening and softening behaviors, respectively, and could not be seen any effects from $\gamma$ parameter on the maximum amplitudes of resonant vibration of the GPLRC imperfect annular plate. Last but not the list by decreasing the structure’s flexibility, the plate can be susceptible to have unstable responses.

首次提出了在湿热环境下承受机械载荷的石墨烯纳米片增强复合材料（GPLRC）环形板的非线性强迫振动分析。使用三阶剪切变形理论（三阶SDT）确定GPLRC不完美环形板的位移场，并考虑了von Karman非线性壳模型，考虑了该结构的振动行为非线性。应用被称为汉密尔顿原理的能量方法来创建控制壳结构的运动方程，同时使用广义差分正交方法（GDQM）和摄动方法（PM）对其进行求解。最终，研究结果表明，增加水分变化的价值（$\Delta H$）和方向角参数（$\theta$），边界条件的刚性导致结构频率的增加。此外，只要非线性参数的值（$\gamma$）为正和负，则板的动态行为往往分别具有硬化和软化行为，并且无法从中看到任何影响 $\gamma$GPLRC不完美环形板共振振动最大振幅的参数。最后但不是通过降低结构的柔韧性列出来的，该板很容易具有不稳定的响应。