Abstract

This paper focuses on the influence of CNTs, porosity, mechanical and thermal loading on the vibration and dynamic response of the sandwich functionally graded carbon nanotube-reinforced composite (FG-CNTRC) composite plate. The plate is made by three layers in which the core layer is porous FGM materials, bottom and top surfaces are FG-CNTRC. The motion equations are given based on Hamilton’s principle, TSDT, Galerkin method and the fourth-order Runge–Kutta method. The numerical illustration is shown to examine the influence of various parameters such as porosity distribution, CNTs volume fraction, geometrical parameters, elastic foundations, temperature, mechanical loads on the dynamic behaviors of the plate.

• Highlights

• The FG-CNTRC plates with porous core layer

• The vibration and nonlinear dynamic analysis

• Elastic foundation and temperature

• Analytical solutions, Hamilton’s principle with the high-order shear deflection theory is used

• Galerkin method and the fourth-order Runge–Kutta method are applied

摘要

本文重点研究了碳纳米管、孔隙率、机械和热载荷对夹层功能梯度碳纳米管增强复合材料（FG-CNTRC）复合板的振动和动态响应的影响。该板由三层制成，其中芯层为多孔FGM材料，底面和顶面为FG-CNTRC。运动方程基于Hamilton原理、TSDT、Galerkin方法和四阶Runge-Kutta方法给出。数值插图显示了检查各种参数的影响，例如孔隙率分布、碳纳米管体积分数、几何参数、弹性基础、温度、机械载荷对板的动态行为的影响。

• 强调

• 具有多孔芯层的FG-CNTRC板

• 振动和非线性动力学分析

• 弹性地基和温度

• 解析解，使用高阶剪切偏转理论的哈密顿原理

• 应用 Galerkin 方法和四阶 Runge-Kutta 方法