By using the first order shear deformation theory (FSTD), this paper presents the results of the nonlinear dynamic behavior and natural frequencies of sandwich plate supported by elastic foundations in thermal environment and subjected to mechanical load and blast loading. This work takes advantage of the sandwich plate configuration with three layers: graphene platelet –reinforced composite (GPL) layer – auxetic layer – FGM layer, to analyze the dynamic and vibration problem, in which the auxetic core layer has a negative Poisson's ratios and the FGM layer is reinforced by stiffeners made of full metal or full ceramic depending on a situation of stiffeners at the metal-rich or ceramic-rich side of the plate respectively. Corresponding to the combination of material layers, the mechanical quantities of the problem are processed and calculated to suit the structure and reinforcement conditions. Numerical results are provided to explore the influences of geometrical parameters, elastic foundation parameters, GPL volume fraction, blast and mechanical loads on the nonlinear dynamic behavior and vibration of sandwich plate resting on elastic foundation and in thermal environment. In addition, the study is not only assumed that the material properties depend on environment temperature variation, but also considered the thermal stresses in the stiffeners, as well as considered the effect of imperfections in the original shape of the structure.

本文利用一阶剪切变形理论（FSTD），给出了弹性地基支撑的夹层板在热环境下承受机械载荷和爆炸载荷的非线性动力行为和固有频率的结果。本工作利用三层夹心板结构：石墨烯薄片-增强复合材料（GPL）层-拉胀层-FGM层，分析动力和振动问题，其中拉胀芯层具有负泊松比和FGM 层由全金属或全陶瓷制成的加强筋加强，具体取决于板的富金属或富陶瓷侧的加强筋情况。对应材料层的组合，对问题的机械量进行处理和计算，以适应结构和钢筋条件。提供了数值结果来探讨几何参数、弹性基础参数、GPL 体积分数、爆炸和机械载荷对弹性基础上和热环境下夹层板非线性动力行为和振动的影响。此外，该研究不仅假设材料特性取决于环境温度变化，还考虑了加强筋中的热应力，以及结构原始形状缺陷的影响。GPL 体积分数、爆炸和机械载荷对弹性基础和热环境中夹层板非线性动态行为和振动的影响。此外，该研究不仅假设材料特性取决于环境温度变化，还考虑了加强筋中的热应力，以及结构原始形状缺陷的影响。GPL 体积分数、爆炸和机械载荷对弹性基础和热环境中夹层板非线性动态行为和振动的影响。此外，该研究不仅假设材料特性取决于环境温度变化，还考虑了加强筋中的热应力，以及结构原始形状缺陷的影响。