Flexural Wave Propagation Analysis of Embedded S-FGM Nanobeams Under Longitudinal Magnetic Field Based on Nonlocal Strain Gradient Theory

2016 ◽  
Vol 42 (5) ◽  
pp. 1715-1726 ◽  
Author(s):  
Farzad Ebrahimi ◽  
Mohammad Reza Barati
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Strain Gradient ◽  
Longitudinal Magnetic Field ◽  
Strain Gradient Theory ◽  
Flexural Wave ◽  
Gradient Theory ◽  
Propagation Analysis ◽  
Flexural Wave Propagation ◽  
Nonlocal Strain Gradient

Wave propagation in fluid-conveying viscoelastic carbon nanotubes under longitudinal magnetic field with thermal and surface effect via nonlocal strain gradient theory

2017 ◽  
Vol 31 (08) ◽  
pp. 1750069 ◽  
Author(s):  
Yaxin Zhen ◽  
Lin Zhou
Keyword(s):  
Magnetic Field ◽  
Carbon Nanotubes ◽  
Wave Propagation ◽  
Phase Velocity ◽  
Longitudinal Magnetic Field ◽  
Surface Effect ◽  
Strain Gradient Theory ◽  
Wave Number ◽  
Gradient Theory ◽  
Nonlocal Strain Gradient

Based on nonlocal strain gradient theory, wave propagation in fluid-conveying viscoelastic single-walled carbon nanotubes (SWCNTs) is studied in this paper. With consideration of thermal effect and surface effect, wave equation is derived for fluid-conveying viscoelastic SWCNTs under longitudinal magnetic field utilizing Euler–Bernoulli beam theory. The closed-form expressions are derived for the frequency and phase velocity of the wave motion. The influences of fluid flow velocity, structural damping coefficient, temperature change, magnetic flux and surface effect are discussed in detail. SWCNTs’ viscoelasticity reduces the wave frequency of the system and the influence gets remarkable with the increase of wave number. The fluid in SWCNTs decreases the frequency of wave propagation to a certain extent. The frequency (phase velocity) gets larger due to the existence of surface effect, especially when the diameters of SWCNTs and the wave number decrease. The wave frequency increases with the increase of the longitudinal magnetic field, while decreases with the increase of the temperature change. The results may be helpful for better understanding the potential applications of SWCNTs in nanotechnology.

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