Abstract
The vibrational behavior of single-walled carbon nanocones is studied using molecular structural method and molecular dynamics simulations. In molecular structural approach, point mass and beam elements are employed to model the carbon atoms and the connecting covalent bonds, respectively. Single-walled carbon nanocones with different apex angles are considered. Besides, the vibrational behavior of nanocones under various types of boundary conditions is studied. Predicted natural frequencies are compared with the existing results in the literature and also with the ones obtained by molecular dynamics simulations. It is found that decreasing apex angle and the length of carbon nanocone results in an increase in the natural frequency. Comparing the vibrational behavior of single-walled carbon nanocones under different boundary conditions shows that the effect of end condition on the natural frequency is more prominent for nanocones with smaller apex angles.
Highlights
Different nanostructures such as carbon nanotubes (CNTs) [1], fullerenes [2], carbon nanorings [3], and carbon nanocones (CNCs) [4, 5] have attracted a great deal of researches
Naess et al [12] studied the morphologies of the CNCs with different apex angles by using transmission electron microscopy (TEM), synchrotron X-ray, and electron diffraction
In order to assess the results generated by finite element method (FEM) for vibrational behavior of singlewalled carbon nanocones (SWCNCs), Molecular dynamics (MD) simulation is utilized
Summary
Different nanostructures such as carbon nanotubes (CNTs) [1], fullerenes [2], carbon nanorings [3], and carbon nanocones (CNCs) [4, 5] have attracted a great deal of researches. The problem domain is modeled by using a set of scattered nodes; the common difficulties of mesh usage including inaccurate and unstable solutions caused by distortion of meshes [26] and high costs of remeshing are omitted [27] They can be usefully applied to study the nanostructures. Using FEM, Fakhrabadi et al [35, 36] predicted vibrational properties and the elastic and buckling behavior of CNCs with different dimensions They obtained the natural frequencies and corresponding mode shapes as well as the elastic modulus and compressive forces of the axial buckling for CNCs with the various dimensions and boundary conditions. A finite element (FE) model is applied to investigate the vibration behavior of SWCNCs. The effect of boundary condition, apex angle, and length on the fundamental natural frequency of SWCNCs are studied. The results of FE model are verified by MD simulations
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