Analytical Studies of SWCNTs Embedded in Nonlinear Viscous Elastic Media and the Chaotic Effect of Its Various Parameters

Abstract

The analytical studies and chaotic behavior of forced vibration on Single-wall Carbon Nanotubes (SWCNTs) embedded in nonlinear viscous elastic medium subjected to parametric excitation are investigated. The analytical solution of the amplitude of nonlinear vibration is studied using Krylov–Bogoliubov–Mitropolsky (KBM) method. Both resonant and nonresonant cases are deduced. The computational techniques are used to draw graphs of time series, phase plot and Poincaré surface of section to analyze the chaotic behavior of the system considered. The plots are drawn for various values of different parameters like linear damping, nonlinear damping and amplitude of external forces in the considered model of SWCNTs. This work could be helpful in differentiating various elements of Carbon Nanotubes (CNTs) into the chaotic elements and controlling elements. The chaotic elements contributes to increase in the aging of CNTs while controlling elements can be used to control the irregular behavior of CNTs.