Please use this identifier to cite or link to this item: https://doi.org/10.3390/nano8050298
Title: Stochastic resonance and safe basin of single-walled carbon nanotubes with strongly nonlinear stiffness under random magnetic field
Authors: Xu, J
Li, C
Li, Y
Lim, C.W 
Zhu, Z
Issue Date: 2018
Citation: Xu, J, Li, C, Li, Y, Lim, C.W, Zhu, Z (2018). Stochastic resonance and safe basin of single-walled carbon nanotubes with strongly nonlinear stiffness under random magnetic field. Nanomaterials 8 (5) : 298. ScholarBank@NUS Repository. https://doi.org/10.3390/nano8050298
Rights: Attribution 4.0 International
Abstract: 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. © 2018 by the authors. Licensee MDPI, Basel, Switzerland.
Source Title: Nanomaterials
URI: https://scholarbank.nus.edu.sg/handle/10635/178244
ISSN: 20794991
DOI: 10.3390/nano8050298
Rights: Attribution 4.0 International
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