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Showing 2 results for Single Walled Carbon Nanotube
Mehrdad Foroutan, Mohammad Sajad Khodayari,
Volume 16, Issue 9 (11-2016)
Abstract
In this paper, thermo-elastic analysis of functionally graded nanocomposite hollow cylinders reinforced by single walled carbon nanotube (SWCNT) subjected to a thermal load was carried out by a mesh-free method. It is assumed that the functionally graded nanocomposite hollow cylinder reinforced by carbon nanotube with finite length is simply supported. A uniform and three kinds of functionally graded (FG) distributions of carbon nanotubes in the radial direction of cylinder are considered. Nanocomposite mechanical properties are estimated by micro mechanical generalized rule mixture model. Applying the virtual work principle, the governing equations are obtained and are discretized by the mesh-free method. In the mesh-free analysis, moving least squares (MLSs) shape functions are used for approximation of displacement field. The transformation method was used for the imposition of essential boundary conditions. Using finite difference method, temperature distribution was obtained by solving the thermal equation. To validate, the results of this analysis were compared with previous published works and a good agreement was seen between them. Then the effects of various parameters, such as the kind of distribution and the volume fractions of carbon nanotubes and the different geometrical parameter, on the components of stress are studied.
H. Ramezannejad Azarboni, H. Keshavarzpour ,
Volume 19, Issue 1 (1-2019)
Abstract
In this study, based on the nonlocal nonlinear Euler-Bernoulli beam model, the primary and superharmonic resonance of a single carbon nanotube (CNT) resting on a viscoelastic foundation under the magnetic axial loads and temperature as well as transverse harmonic forces was investigated. Using Galerkin approximation along with the trigonometric shape functions, the nonlinear partial differential governing equation is reduced to nonlinear ordinary differential equation. The frequency response of the single walled CNT is derived by implementing the multiple time scale method for the primary and superharmonic resonances. The effects of surface elasticity, change in temperature, magnetic field and the length-to-outer diameter aspect ratio on the frequency response of CNT in the cases of primary and superharmonic resonances were analyzed. The results show that the nonlinearity according to considered geometrical and mechanical parameters in this study, may cause unpleasant jumping phenomenon accompanied by unstable region in the frequency response. In addition to the surface elasticity, magnetic field, smaller temperature changes, as well as larger aspect ratio have positive effects on weakening the jumping phenomenon and extending the stability level of single walled CNT.
