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Nanomaterials 2018, 8(5), 298; https://doi.org/10.3390/nano8050298

Stochastic Resonance and Safe Basin of Single-Walled Carbon Nanotubes with Strongly Nonlinear Stiffness under Random Magnetic Field

1
Department of Mechanics, Tianjin University, Tianjin 300072, China
2
Department of Architecture and Civil Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong 999077, China
3
Tianjin Key Laboratory of Nonlinear Dynamics and Control, Tianjin University, Tianjin 300072, China
*
Author to whom correspondence should be addressed.
Received: 19 March 2018 / Revised: 24 April 2018 / Accepted: 25 April 2018 / Published: 4 May 2018
(This article belongs to the Special Issue Applications of Carbon Nanotubes)
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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. View Full-Text
Keywords: random magnetic field; safe basin; single-walled carbon nanotubes; stochastic resonance; strong nonlinearity random magnetic field; safe basin; single-walled carbon nanotubes; stochastic resonance; strong nonlinearity
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Xu, J.; Li, C.; Li, Y.; Lim, C.W.; Zhu, Z. Stochastic Resonance and Safe Basin of Single-Walled Carbon Nanotubes with Strongly Nonlinear Stiffness under Random Magnetic Field. Nanomaterials 2018, 8, 298.

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