翻译：本文采用一阶剪切变形板理论研究具有可移动简支边界条件的功能梯度石墨烯增强复合材料板的自由振动。修正的Halpin-Tsai模型被用于估计复合材料的等效杨氏模量然后利用一阶剪切变形板理论建立板的几何关系接着考虑温度的影响建立物理本构方程并基于哈密顿原理构建其偏微分方程。本文主要讨论简支和固支边界我们首先假设一个试函数然后使用伽辽金法计算板的单位频率。参考相关文献比较算法的有效性并且比较不同结构

This article adopts the first-order shear deformation plate theory to study the free vibration of functionally graded graphene-reinforced composite plates with movable simply supported boundary conditions. The modified Halpin-Tsai model is used to estimate the equivalent Young's modulus of the composite material, and then the geometric relationship of the plate is established using the first-order shear deformation plate theory. The physical constitutive equation is established considering the effect of temperature, and its partial differential equation is constructed based on the Hamilton principle. This article mainly discusses simply supported and fixed supported boundaries. We first assume a trial function and then use the Galerkin method to calculate the unit frequency of the plate. The effectiveness of the algorithm is compared with reference to relevant literature, and the frequency of composite plates with different structures and boundary conditions is compared