Thermal instability and dynamic response analysis of a tensioned carbon nanotube under moving uniformly distributed external pressure

Abstract

Single-walled carbon nanotubes (SWCNTs) are receiving immense research attention due to their tremendous thermal, electrical, structural and mechanical properties. In this paper, an exact solution of the dynamic response of SWCNT with a moving uniformly distributed load is presented. The SWCNT is modelled via the theories of Bernoulli-Euler-thermal elasticity mechanics and solved using Integral transforms. The developed closed-form solution in the present work is compared with existing results and excellent agreements are established. The parametric studies show that as the magnitude of the pressure distribution at the surface increases, the deflection associated with the single walled nanotube increases at any mode whilst a corresponding increase in temperature and foundation parameter have an attenuating effect on deflection. Moreover, an increase in the Winkler parameter, as well as a decrease in the SWCNT mass increases its frequency of vibration. Furthermore, an increase in the speed of the external agent decreases the total external pressure as a result of the removal of dead loads. The present work is envisaged to improve the application of SWCNT as nanodevices for structural, electrical and mechanical systems.

Keywords

• Thermal and moving external uniform pressure
• Tensioned carbon nanotube
• Dynamic and stability analysis
• Integral transform