Abstract

This article deals with the investigation of free vibration and buckling behaviors of carbon nanotube (CNT)-reinforced cross-ply laminated composite plates. The plate kinematics is assumed to follow a first-order shear deformation theory (FSDT). After the coupled equations of motion and buckling are derived, the method of discrete singular convolution (DSC) is used for the numerical solution of the problems. Both the regularized Shannon’s and Lagrange’s delta kernels are used for spatial discretizing of the resulting governing equations of buckling and vibration of CNT-reinforced laminated plates. Natural frequencies and critical buckling loads are obtained for different cases. Wherever possible, the present DSC results are verified by comparing them with the existing analytical results available in the literature. Then, a detailed parametric study is performed to examine the effects of boundary conditions, CNT distributions and volume fraction, aspect ratio, length-to-width ratio, and number of layers on the frequencies and buckling loads.

摘要

本文研究了碳纳米管 (CNT) 增强的交叉层层压复合板的自由振动和屈曲行为。假设板运动学遵循一阶剪切变形理论 (FSDT)。在导出了运动和屈曲耦合方程后，采用离散奇异卷积（DSC）方法对问题进行数值求解。正则化香农和拉格朗日 delta 核都用于对所得的 CNT 增强层压板的屈曲和振动控制方程进行空间离散化。获得了不同情况下的固有频率和临界屈曲载荷。在可能的情况下，通过将它们与文献中现有的分析结果进行比较来验证当前的 DSC 结果。然后，