The dynamic stability of an axially moving graphene reinforced laminated composite plate is studied. The graphene nanoplatelets (GPLs) are distributed in each polyvinylidene fluoride (PVDF) layer uniformly and in the whole plate symmetrically. The volume fraction of the first layer is used as the control variable to determine the distribution pattern of the GPLs. Halpin–Tsai’s model is used to predict the effective Young’s modulus of the axially moving graphene reinforced laminated composite plate. The effective mass density and Poisson’s ratio are calculated by using the rule of mixture. Based on von Kármán plate theory and Hamilton’s principle, the governing equations of motion are derived for the axially moving graphene reinforced laminated composite plate. To evaluate the stability of the axially moving graphene reinforced laminated composite plate with the constant velocity, the ordinary differential equations of motion are obtained by using Galerkin method. The effect of the graphene reinforcement on the critical and flutter velocities of the axially moving laminated composite plate is analyzed based on the eigenvalue of the coefficient matrix. The influence of the graphene reinforcement on the instability region for the axially moving laminated composite plate with the varied velocity is also evaluated by using the direct multiscale method.

研究了轴向移动的石墨烯增强层压复合板的动态稳定性。石墨烯纳米片（GPL）均匀分布在每个聚偏二氟乙烯（PVDF）层中，并对称分布在整个板中。第一层的体积分数用作控制变量来确定 GPL 的分布模式。Halpin-Tsai 模型用于预测轴向移动石墨烯增强层压复合板的有效杨氏模量。有效质量密度和泊松比使用混合法则计算。基于von Kármán 板理论和Hamilton 原理，推导了轴向运动石墨烯增强复合板的运动控制方程。为评价轴向运动石墨烯增强复合板等速运动的稳定性，采用伽辽金法求出常微分运动方程。基于系数矩阵的特征值分析了石墨烯增强对轴向移动层合复合板临界速度和颤振速度的影响。还通过直接多尺度方法评估了石墨烯增强对随速度轴向移动的层压复合板不稳定区域的影响。基于系数矩阵的特征值分析了石墨烯增强对轴向移动层合复合板临界速度和颤振速度的影响。还通过直接多尺度方法评估了石墨烯增强对随速度轴向移动的层压复合板不稳定区域的影响。基于系数矩阵的特征值分析了石墨烯增强对轴向移动层合复合板临界速度和颤振速度的影响。还通过直接多尺度方法评估了石墨烯增强对随速度轴向移动的层压复合板不稳定区域的影响。