Abstract

The present study aims to carry out free vibration analysis of functionally graded single-walled carbon nanotube-reinforced composite (FG-CNTRC) beams under hygro-thermal conditions. The study is carried out using the recently proposed C-0 finite element-based higher-order zigzag theory. The study is carried out on five different CNTRC graded beams. Temperature and moisture-dependent material properties are used. Constant temperature or moisture distribution across the thickness of the beam is taken. Hamilton's principle has been used for defining the governing differential equations. Modal stresses are also studied for the first six mode shapes. Stresses at the higher mode of vibration are found to be more affected by temperature or moisture concentration as compared to the stresses observed for the fundamental mode of vibration. It is observed that the nature of stress distribution across the beam is widely affected by the gradation law along with moisture or temperature values to which the beam is subjected. FG-O beam is found to be least sensitive under thermal conditions whereas FG-X beam is found to be the most.

摘要

本研究旨在对湿热条件下功能梯度单壁碳纳米管增强复合材料（FG-CNTRC）梁进行自由振动分析。该研究是利用最近提出的基于 C-0 有限元的高阶 zigzag 理论进行的。该研究是在五种不同的 CNTRC 梯度梁上​​进行的。使用与温度和湿度相关的材料特性。测量横梁厚度上的恒定温度或湿度分布。汉密尔顿原理已用于定义控制微分方程。还研究了前六种振型的模态应力。与基本振动模式观察到的应力相比，较高振动模式下的应力更容易受到温度或水分浓度的影响。据观察，梁上应力分布的性质广泛受到级配定律以及梁所承受的湿度或温度值的影响。FG-O 光束在热条件下最不敏感，而 FG-X 光束最敏感。