Nonlinear Dynamic Analysis of Electrostatically Actuated Single-walled Carbon Nanotubes Using Nonlocal Elasticity

Abstract

The paper investigates the effects of application of nonlocal elasticity theory on electromechanical behaviors of single-walled carbon nanotubes under electrostatic actuation. The influences of different dimensions and boundary conditions on the vibration and dynamic instability of the carbon nanotubes are studied, in detail, using this theory. The results reveal that application of the nonlocal elasticity theory leads to the higher pull-in voltages for the nonlocal model applied for carbon nanotubes. Thus, in order to have more accurate results, one should apply nonclassical theorems such as the nonlocal elasticity theory to scrutinize the mechanical and electromechanical behaviors of the nano structures.

Chaotic forced vibration analysis of a single-walled carbon nanotube resting on elastic foundations

“…e main parameters that were investigated include damping coe cient, nonlinear term's coe cient, and natural frequency. Fakhrabadi et al examined the in uence of the nonlocal elasticity theory on the electromechanical behavior of activated single-walled carbon nanotubes (SWCNTs) [19]. It was determined that nonclassical theorems like the nonlocal elasticity theory should be used to examine the mechanical and electromechanical behaviors of the nanostructures to produce more accurate results.…”