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. Nanomaterials2018, 8, 298.
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.
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. Nanomaterials2018, 8, 298.
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.
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 microstructure is considered based on the theory of nonlocal elasticity. 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.
Keywords
random magnetic field; safe basin; single-walled carbon nanotubes; stochastic resonance; strong nonlinearity
Subject
Chemistry and Materials Science, Nanotechnology
Copyright:
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.
