Carbon Nanotube Beam Model and Free Vibration Analysis

Abstract

Thanks to their superior properties, the interest on nanostructures has increased. Among the nanostructures, carbon nanotubes have an important place. In this study, the free vibration of Carbon Nanotubes is investigated. CNT is modeled as a beam. Four different cross-sections are selected such as circular, rectangular, triangular and quadratic for use in the solution. The frequency values of the first five modes of these 4 different crosssections with the same area have been gained by using Euler-Bernoulli Beam Theory for simply supported boundary condition. The results are compared. In this study, it is aimed to understand how the mode number and cross-section change the frequency values.