Stochastic resonance and safe basin of single-walled carbon nanotubes with strongly nonlinear stiffness under random magnetic field

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review

View graph of relations



Original languageEnglish
Journal / PublicationNanomaterials
Issue number5
Online published4 May 2018
Publication statusPublished - May 2018



In this paper, a kind of single-walled carbon nanotube nonlinear model is developed and the strongly nonlinear dynamic characteristics of such carbon nanotubes subjected to random magnetic field are studied. The nonlocal effect of the microstructure is considered based on Eringen’s differential constitutive model. The natural frequency of the strongly nonlinear dynamic system is obtained by the energy function method, the drift coefficient and the diffusion coefficient are verified. The stationary probability density function of the system dynamic response is given and the fractal boundary of the safe basin is provided. Theoretical analysis and numerical simulation show that stochastic resonance occurs when varying the random magnetic field intensity. The boundary of safe basin has fractal characteristics and the area of safe basin decreases when the intensity of the magnetic field permeability increases.

Research Area(s)

  • Random magnetic field, Safe basin, Single-walled carbon nanotubes, Stochastic resonance, Strong nonlinearity

Download Statistics

No data available