Analysis For Thermodynamic & Vibration Properties Of Carbon Nanotubes

The research in this paper is mainly divided into two aspects: the effect of finite temperature on axial bucking of double walled carbon nanotube,and the effects of fluid forces and magnetic fields on the vibration characteristics of single-walled carbon nanotube.One of the research directions,based on the non-local Timoshenko beam model,the effect of finite temperature on axial bucking of double walled carbon nanotube(DWCNT)is investigated.The double walled carbon nanotube with different nonlocal effects is considered as an elastic structure model of mechanics,which is composed of the Van der Waals’ force between the two-layers/two walls of carbon nanotubes.Molecular structure mechanics model incorporating thermal temperature is developed to study the relation between Young’s modulus and temperature.The temperature dependent Young’s modulus is applied to study the mechanical property of double walled carbon nanotubes.It is found that the axial buckling properties of DWCNTs decrease with the increase of the finite temperature at high temperature,however,the axial buckling properties of DWCNTs increase with the increase of the finite temperature at low or room temperature.Moreover,it is noted that the continuous temperature has litter effect on the axial buckling property of DWCNTs at low temperature.The effect of continuous temperature on the mechanical properties of DWCNTs can not be neglected at the high temperature.Another research directions,studies the effects of fluid forces and magnetic fields on the vibration characteristics of single-walled carbon nanotube(SWCNT).The force of the fluid on the SWCNT tube wall is derived by using the Hamiltonian variational principle.The Lorentz magnetic force obtained from Maxwell’s relationship.The governing equations of motion are derived by the non-local beam model under the action of fluid and longitudinal magnetic field.This paper provides an analytical approach to study the effect of fluid,small-scale effect and longitudinal magnetic field on the vibration frequency of single-walled fluid-conveying carbon nanotube.The numerical results show that the fluid has a significant influence on the vibration characteristics of SWCNTs.The vibration characteristics of the single-walled fluid-conveying carbon nanotube cannot neglect the effect of the high-speed fluid on the carbon nanotube(CNT)tube wall.