TY - JOUR
T1 - Nonlinear mechanics of nanotubes conveying fluid
AU - Farajpour, Ali
AU - Farokhi, Hamed
AU - Ghayesh, Mergen H.
AU - Hussain, Shahid
PY - 2018/12/1
Y1 - 2018/12/1
N2 - A nonlocal strain gradient elasticity approach is proposed for the mechanical behaviour of fluid-conveying nanotubes; a nonlinear analysis, incorporating stretching, is conducted for a model based on both a nonlocal theory along with a strain gradient one. A clamped–clamped nanotube conveying fluid, as a conservative gyroscopic nanosystem, is considered and the motion energy and size-dependent potential energy are developed via use of constitutive and strain–displacement relations. An energy minimisation is conducted via Hamilton's method for an oscillating nanotube subject to external forces. This gives the nonlinear equation of the motion which is reduced to a high DOF system via Galerkin's technique. As many nanodevices operate near resonance, the resonant motions are obtained using a frequency-continuation method. The effect of different nanosystem/fluid parameters, including fluid/solid interface and the flow speed, on the nonlinear resonance is analysed.
AB - A nonlocal strain gradient elasticity approach is proposed for the mechanical behaviour of fluid-conveying nanotubes; a nonlinear analysis, incorporating stretching, is conducted for a model based on both a nonlocal theory along with a strain gradient one. A clamped–clamped nanotube conveying fluid, as a conservative gyroscopic nanosystem, is considered and the motion energy and size-dependent potential energy are developed via use of constitutive and strain–displacement relations. An energy minimisation is conducted via Hamilton's method for an oscillating nanotube subject to external forces. This gives the nonlinear equation of the motion which is reduced to a high DOF system via Galerkin's technique. As many nanodevices operate near resonance, the resonant motions are obtained using a frequency-continuation method. The effect of different nanosystem/fluid parameters, including fluid/solid interface and the flow speed, on the nonlinear resonance is analysed.
KW - Fluid
KW - Nonlinear mechanical analysis
KW - Nonlocal strain gradient effects
KW - Viscoelastic nanotubes
U2 - 10.1016/j.ijengsci.2018.08.009
DO - 10.1016/j.ijengsci.2018.08.009
M3 - Article
AN - SCOPUS:85053780015
VL - 133
SP - 132
EP - 143
JO - International Journal of Engineering Science
JF - International Journal of Engineering Science
SN - 0020-7225
ER -