An analytical investigation was carried out to assess the free vibration, buckling and deformation responses of simply-supported sandwich plates. The plates constructed with graphene-reinforced polymer composite (GRPC) face sheets and are subjected to mechanical and thermal loadings while being simply-supported or resting on different types of elastic foundation. The temperature-dependent material properties of the face sheets are estimated by employing the modified Halpin-Tsai micromechanical model. The governing differential equations of the system are established based on the refined shear deformation plate theory and solved analytically using the Navier method. The validation of the formulation is carried out through comparisons of the calculated natural frequencies, thermal buckling capacities and maximum deflections of the sandwich plates with those evaluated by the available solutions in the literature. Numerical case studies are considered to examine the influences of the core to face sheet thickness ratio, temperature variation, Winkler- and Pasternak-types foundation, as well as the volume fraction of graphene on the response of the plates. It will be explicitly demonstrated that the vibration, stability and deflection responses of the sandwich plates become significantly affected by the aforementioned parameters.

进行了分析研究，以评估简单支撑的夹心板的自由振动，屈曲和变形响应。由石墨烯增强的聚合物复合材料（GRPC）面板构成的板在承受机械和热载荷的同时，被简单支撑或搁置在不同类型的弹性基础上。通过使用改良的Halpin-Tsai微机械模型来估算面板的温度相关材料特性。基于精细的剪切变形板理论建立了系统的控制微分方程，并使用Navier方法进行了解析求解。通过比较计算出的固有频率进行配方验证，夹层板的热屈曲能力和最大挠度与文献中可用解决方案进行了评估。考虑了数值案例研究，以检查岩心与面板厚度之比，温度变化，Winkler和Pasternak型粉底以及石墨烯的体积分数对板响应的影响。将明确表明，夹层板的振动，稳定性和挠度响应会受到上述参数的明显影响。以及石墨烯在板反应中的体积分数。将明确表明，夹层板的振动，稳定性和挠度响应会受到上述参数的明显影响。以及石墨烯在板反应中的体积分数。将明确表明，夹层板的振动，稳定性和挠度响应会受到上述参数的明显影响。