In this work, application of trigonometric shear deformation theory (TSDT) with the Navier’s solution technique is explored to determine the static, free vibration and corresponding mode shape of carbon nanotubes (CNTs)-reinforced sandwich plates for different stacking sequences with different material properties. In the TSDT, the distribution of the displacement is nonlinear along the thickness of the plate. Detailed investigation is carried out after validating the obtained results with the results presented in the existing literature. The deflections, stresses, natural frequency and corresponding mode shape of functionally graded (FG) CNTs-reinforced sandwich plates with different span thickness ratios, core to face sheet thickness ratios, volume fractions and distribution of CNTs are presented and studied in detail.

在这项工作中，探索了三角剪切变形理论 (TSDT) 和 Navier 求解技术的应用，以确定碳纳米管 (CNTs) 增强夹心板的静态、自由振动和相应的模式形状，用于具有不同材料特性的不同堆叠序列。在 TSDT 中，位移沿板厚分布是非线性的。在用现有文献中提供的结果验证获得的结果后，进行详细调查。详细介绍和研究了具有不同跨度厚度比、芯与面板厚度比、体积分数和碳纳米管分布的功能梯度 (FG) 碳纳米管增强夹层板的挠度、应力、固有频率和相应的振型。