Thermal Vibration of a Single-Walled Carbon Nanotube Including Small Scale and Quantum Effects

Abstract

This article studies the thermal vibration of a single-walled carbon nanotube (SWCNT) with a simply supported boundary condition using nonlocal continuum theory, including the small scale and quantum effects. The effects of temperature, diameter, and elastic foundation parameter on the root-mean-square (RMS) amplitude distribution of thermal vibration are analyzed. Results show that the RMS amplitude distribution significantly increases with an increase of the temperature. However, the RMS amplitude distribution decreases with increasing the value of the elastic foundation parameter. In addition, the diameter of the SWCNT increase results in a decrease of the maximum RMS amplitude.