TY - GEN
T1 - Nonlinear vibration of fluid-conveying carbon nanotube using homotopy analysis method
AU - Askari, H.
AU - Zhang, D.
AU - Esmailzadeh, E.
PY - 2013
Y1 - 2013
N2 - Nonlinear vibration analysis of a single-walled carbon nanotube, using the Eringen nonlocal elasticity and Euler-Bernoulli beam theories, is carried out. Pasternak-type foundation and the simply-supported boundary conditions are assumed for the carbon nanotube and the governing equation of motion is developed using those theories. The Galerkin method is utilized to obtain the nonlinear ordinary differential equation of vibration of the single-walled carbon nanotube and the homotopy analysis method is employed to determine its nonlinear natural frequency. A parametric sensitivity study is then carried out. Few of the parameters were the axial tension, nonlocal parameter, fluid velocity and the foundation stiffness. The parametric study is mainly focused on the nonlinear natural frequency of single-walled carbon nanotube. Finally, a numerical simulation is carried out to determine the accuracy of the obtained results. Furthermore, an elliptical integral is utilized to verify the nonlinear natural frequency, which was obtained using the homotopy analysis method.
AB - Nonlinear vibration analysis of a single-walled carbon nanotube, using the Eringen nonlocal elasticity and Euler-Bernoulli beam theories, is carried out. Pasternak-type foundation and the simply-supported boundary conditions are assumed for the carbon nanotube and the governing equation of motion is developed using those theories. The Galerkin method is utilized to obtain the nonlinear ordinary differential equation of vibration of the single-walled carbon nanotube and the homotopy analysis method is employed to determine its nonlinear natural frequency. A parametric sensitivity study is then carried out. Few of the parameters were the axial tension, nonlocal parameter, fluid velocity and the foundation stiffness. The parametric study is mainly focused on the nonlinear natural frequency of single-walled carbon nanotube. Finally, a numerical simulation is carried out to determine the accuracy of the obtained results. Furthermore, an elliptical integral is utilized to verify the nonlinear natural frequency, which was obtained using the homotopy analysis method.
UR - https://www.scopus.com/pages/publications/84894128579
U2 - 10.1109/NANO.2013.6720962
DO - 10.1109/NANO.2013.6720962
M3 - Conference article published in proceeding or book
AN - SCOPUS:84894128579
SN - 9781479906758
T3 - Proceedings of the IEEE Conference on Nanotechnology
SP - 545
EP - 548
BT - 2013 13th IEEE International Conference on Nanotechnology, IEEE-NANO 2013
T2 - 2013 13th IEEE International Conference on Nanotechnology, IEEE-NANO 2013
Y2 - 5 August 2013 through 8 August 2013
ER -