The dynamical analysis of two directional functionally graded carbon nanotube reinforced composite (2DFG-CNTRC) plates are studied for various boundary conditions. The effects of the CNT distribution in the two directions on the dimensionless frequencies are investigated and compared with the unidirectional CNT distributions (1DFG-CNTRC) with respect to the variation of the CNT configuration, volume fraction and aspect ratio. Based on the variational formulation, the numerical results are obtained by using a finite element model. It is found that the volume fraction of the CNTs is affected with respect to the y direction and the difference between the dimensionless fundamental frequencies calculated based on the 2DFG-CNTRC and 1DFG-CNTRC configurations is significant. Moreover, for CFFF plates, the difference between the dimensionless frequencies obtained based on the 2DFG-CNTRC and 1DFG-CNTRC configurations is approximately 43.5% and 39% for 5th mode of the “U” and “V” type CNT configurations and 42% for 6th mode of the “X” type CNT configuration while the aspect ratio is set to 50.

研究了两种定向功能梯度碳纳米管增强复合材料（2DFG-CNTRC）板在各种边界条件下的动力学分析。研究了两个方向上CNT分布对无量纲频率的影响，并就CNT构型，体积分数和纵横比的变化与单向CNT分布（1DFG-CNTRC）进行了比较。基于变分公式，使用有限元模型获得数值结果。发现CNT的体积分数相对于y方向受到影响，并且基于2DFG-CNTRC和1DFG-CNTRC构型计算的无因次基频之间的差异是显着的。此外，对于CFFF板，