Analysis Of Nonlocal Thermo-Mechanical Vibration Of Functionally Graded Carbon Nanotube Reinforced Nanorod Under The Influence Of External Magnetic Field

Abstract

Thermo-mechanical vibration of carbon nanotube (CNT) reinforced functionally graded nanorods are explored in this work under the external influence of magnetic field. The nanorod is modelled based on Love-Bishop rod theory and the small-scale effects are considered based on nonlocal elasticity theory. Axial gradation of CNT reinforcement is modelled in the formulation. The complete governing differential equation of motion of axially graded CNT reinforced composite nanorod is derived and solved for the clamped-clamped and clamped-free boundary conditions. Closed form expressions are derived for the nonlocal frequencies of nanorods. The effects of material properties, temperature, magnetic field, aspect ratio, external stiffness and inhomogeneity parameters on nonlocal frequencies of CNT reinforced nanorods were analyzed thoroughly. The results presented in this work are very useful for the design of futuristic nanodevices where the CNT reinforced nanorod is the primary element.