This article presents an analytical investigation on vibration characteristics of rotating graphene nanoplatelet (GPL)-reinforced plates subjected to rub-impact and thermal shock. The effective material properties are assumed to vary continuously and smoothly along the thickness direction of the plate and are determined via the Halpin–Tsai micromechanics model together with the rule of mixture. Considering the gyroscopic effect, the equations of motion are derived by adopting the Hamilton’s principle based on the Kirchhoff’s plate theory. Then, the Galerkin method and the small parameter perturbation method are utilized to obtain the free and forced vibration results for the rotating plate. A detailed parametric study is conducted to examine the effects of the GPL weight fraction, GPL distribution pattern, length-to-thickness ratio and length-to-width ratio of GPLs, and the rotating speed on free vibration characteristics of the nanocomposite plate. Attention is also given to the influences of the GPL weight fraction, thermal flow, and friction coefficient on forced vibration responses of the plate. The obtained results can play a role in the design of a rotating GPL-reinforced plate structure to achieve significantly improved mechanical performance.

本文提供了对旋转石墨烯纳米片（GPL）增强的板在受到摩擦冲击和热冲击作用下的振动特性的分析研究。假定有效材料特性沿板的厚度方向连续且平滑地变化，并通过Halpin-Tsai微力学模型以及混合规则确定。考虑陀螺效应，采用基于基尔霍夫板理论的汉密尔顿原理导出运动方程。然后，利用Galerkin方法和小参数摄动方法获得旋转板的自由振动和强制振动结果。进行了详细的参数研究，以检验GPL重量分数，GPL分布模式，GPL的长-厚比和长-宽比，以及旋转速度对纳米复合板自由振动特性的影响。还应注意GPL重量分数，热流和摩擦系数对板的强迫振动响应的影响。获得的结果可以在旋转GPL增强板结构的设计中发挥作用，以实现显着改善的机械性能。