An analytical approach is developed in this paper to investigate the wave propagating in graphene oxide powder (GOP) reinforced nanocomposite plates under thermal loading. The plate is embedded on a two parameter elastic substrate to make this research more realistic. The structure is exposed to thermal loadings with various temperature rises such as sinusoidal temperature rise (STR), linear temperature rise (LTR) and uniform temperature rise (UTR). The governing differential equations are derived via incorporation of the Hamilton’s principle and refined higher order plate theory then solved analytically to obtain the wave frequency and phase velocity of the GOP reinforced nanocomposite plate. The GOPs are dispersed in a polymeric matrix through the thickness of the plate by considering different functionally graded (FG) patterns. Moreover, the effective material properties of the structure are predicted on the basis of Halpin–Tsai micromechanical scheme. Furthermore, the accuracy of the present model is verified with previous works and also the influences of various parameters on the wave propagation behavior of the structure are covered too. The graphical results declare that wave propagation in GOP reinforced nanocomposite plates dramatically depends on these parameters.

本文开发了一种分析方法来研究热负载下氧化石墨烯粉末 (GOP) 增强纳米复合板中的波传播。该板嵌入在两个参数的弹性基板上，使这项研究更加现实。该结构承受各种温升的热载荷，例如正弦温升 (STR)、线性温升 (LTR) 和均匀温升 (UTR)。通过结合汉密尔顿原理和改进的高阶板理论推导出控制微分方程，然后解析求解以获得GOP增强纳米复合板的波频率和相速度。通过考虑不同的功能梯度 (FG) 图案，GOP 分散在聚合物基体中通过板的厚度。而且，基于 Halpin-Tsai 微机械方案预测结构的有效材料特性。此外，通过前人的工作验证了本模型的准确性，并涵盖了各种参数对结构波传播行为的影响。图形结果表明，GOP 增强纳米复合板中的波传播极大地取决于这些参数。