In this numerical study, four different graphene sheets distributions, such as uniformly distributed (UD), functionally graded (FG-X), functionally graded (FG-O), and functionally graded (FG-V), are considered for the free vibration of graphene reinforced composite (GRC) stiffened plate. The graphene is distributed through the thickness of the GRC stiffened plate. The volume fraction of graphene is different in each composite layer except UD cases in which distributions are uniform. The effective material properties of the GRC stiffened plate are obtained based on the Halpin-Tsai approach. An eight-noded isoparametric plate bending element is used to model the present finite element formulation based on first-order shear deformation theory. Three noded isoparametric beam elements with four degrees of freedom per node are used to model the stiffener. In this present investigation, two different X and Y-directional eccentrically at the bottom stiffener is considered. The different parametric studies are also analyzed in this numerical study to determine its consequence on natural frequency. The effect of the number of stiffeners, stiffeners thickness, aspect ratio, thickness ratio, boundary conditions, and temperature on the natural frequency is investigated in detail. The mode shapes of the GRC stiffened plate are also plotted.

在此数值研究中，自由振动考虑了四种不同的石墨烯片分布，例如均匀分布（UD），功能梯度（FG-X），功能梯度（FG-O）和功能梯度（FG-V）。石墨烯增强复合材料（GRC）加劲板的制造。石墨烯分布在GRC加强板的厚度上。除了UD分布均匀的情况以外，每个复合层中石墨烯的体积分数均不同。GRC加强板的有效材料性能是基于Halpin-Tsai方法获得的。基于一阶剪切变形理论，使用八节点等参板弯曲单元对当前有限元公式进行建模。每个节点具有四个自由度的三个节点的等参梁单元用于对加劲肋进行建模。在本次调查中，两个不同 考虑在底部加劲肋处偏心的X 和Y方向。在此数值研究中还分析了不同的参数研究，以确定其对固有频率的影响。详细研究了加劲肋数量，加劲肋厚度，长宽比，厚度比，边界条件和温度对固有频率的影响。还绘制了GRC加劲板的众数形状。