Vibration and Buckling of In-Plane Loaded Double-Walled Carbon Nano-Tubes

The paper studies vibration and buckling of in-plane loaded double-walled carbon nanotubes. Timoshenko beam theory was used to investigate the vibration and buckling behavior of double-walled and simply supported carbon nanotubes. The influence of in-plane loads on the natural frequencies was determined. The results show that while the natural frequencies decrease with increasing compressive in-plane loads an increase in frequencies is observed for tension type of in-plane loads. The effects of in-plane loads are more pronounced for lower modes and some mode changes are observed at critical in-plane loads.