Small-scale Computational Vibration of Carbon Nanotubes: Composite Structure

CNTs have a variety of applications because of their distinctive molecular structure and show unique electronic and mechanical properties because of their curvature. Nanotubes and micro-beams can be cited as one of the very applicable micro- and nano-structures in various systems, namely, sensing devices, communications and the quantum mechanics. The application of the tiny structures, specifically, carbon nanotubes in the sensors and actuators enforce the engineers to study vibrational properties of those structures experimentally and theoretically. In addition, they are utilized in different fields such as bioengineering, tissue engineering, computer engineering, optics, energy and environmental systems. This book presents vibration modeling and analysis of carbon nanotubes which be helpful in applications such as oscillators and in non-destructive testing, and also vibrations characteristics of single-walled CNT by means of continuum models. These models are established by inferring the dynamical equations in to different theories, which is our particular motivation. The suggested methods to investigate the solution of fundamental relations are Rayleigh Ritz, Galerkin and wave propagation, which are well-known and efficient techniques to develop the fundamental frequency equations. The frequencies of three different types of SWCNTs are calculated. Also, the vibrations of the chiral single-walled carbon nanotube (SWCNTs) with theories using various approaches are investigated. It has been investigated that by increasing the aspect ratios decreases the frequencies and on increasing the height-to-diameter ratios increases the frequencies throughout the computation frequencies of clamped-free lower than that of clamped-clamped.