This article deals with the thermal vibration analysis of the graphene-oxide powder-reinforced (GOPR) nanocomposite plates, once the plate is embedded on the viscoelastic substrate. The structure is subjected to thermal loadings with various temperature rises such as sinusoidal temperature rise (STR), linear temperature rise (LTR), and uniform temperature rise (UTR). Damping behavior of the GOPR nanocomposite plates is investigated based on the variations of the natural frequencies. Four functionally graded (FG) patterns of GOPs’ distribution are taken into account comparatively in order to find out the best model of reinforcing the structure. The homogenization of the materials is carried based on the Halpin-Tsai micromechanical scheme. The governing equations of the motion have been derived through the combination of refined higher-order shear deformation theory and Hamilton’s principle. The accuracy of this modeling is validated with those reported in the open literature. Finally, the influences of different parameters on the natural frequencies of the embedded GOPR nanocomposite plates are investigated based on the damping coefficient of the viscoelastic substrate. The graphical results reveal that the free vibrational behavior of the structure is remarkably affected by the variations of these parameters.

一旦将石墨烯氧化物粉末增强（GOPR）纳米复合板嵌入粘弹性基材上，就可以对其进行热振动分析。该结构承受的热载荷具有各种温度升高，例如正弦温度升高（STR），线性温度升高（LTR）和均匀温度升高（UTR）。基于自然频率的变化，研究了GOPR纳米复合板的阻尼行为。为了找出加强结构的最佳模型，比较考虑了GOP分布的四个功能分级（FG）模式。基于Halpin-Tsai微机械方案进行材料的均质化。通过将精细的高阶剪切变形理论和汉密尔顿原理相结合，得出了运动的控制方程。该建模的准确性已通过公开文献中报道的方法进行了验证。最后，基于粘弹性基底的阻尼系数，研究了不同参数对GOPR纳米复合板固有频率的影响。图形结果表明，这些参数的变化会显着影响结构的自由振动行为。基于粘弹性基体的阻尼系数，研究了不同参数对GOPR纳米复合板固有频率的影响。图形结果表明，这些参数的变化显着影响了结构的自由振动行为。基于粘弹性基体的阻尼系数，研究了不同参数对GOPR纳米复合板固有频率的影响。图形结果表明，这些参数的变化显着影响了结构的自由振动行为。