Vibrational analysis of single-walled carbon nanotubes using beam element

Sakhaee Pour, A ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1016/j.tws.2008.11.002
  3. Publisher: 2009
  4. Abstract:
  5. Vibrational analysis of single-walled carbon nanotubes (SWCNTs) is performed using a finite element method (FEM). To this end, the vibrational behavior of bridge and cantilever SWCNTs with different side lengths and diameters is modeled by three-dimensional elastic beams and point masses. The beam element elastic properties are calculated by considering mechanical characteristics of the covalent bonds between the carbon atoms in the hexagonal lattice. The mass of each beam element is assumed as point masses at nodes coinciding with the carbon atoms. Implementing the atomistic simulation approach, the natural frequencies of zigzag and armchair SWCNTs are computed. It is observed that the findings are in good agreement with the molecular structural mechanics data available in the literature. Then, the computational results are adopted to develop a predictive equation to propose a quick tool for estimating natural frequencies of the SWCNTs with different boundary conditions and geometrical parameters. © 2008 Elsevier Ltd. All rights reserved
  6. Keywords:
  7. Atomistic simulations ; Beam elements ; Carbon atoms ; Computational results ; Different boundary conditions ; Elastic beams ; Elastic properties ; Finite element method (FEM) ; Geometrical parameters ; Hexagonal lattices ; Mechanical characteristics ; Molecular structural mechanics ; Point mass ; Predictive equations ; Side lengths ; Vibrational analysis ; Vibrational behaviors ; Atoms ; Finite element method ; Natural frequencies ; Single-walled carbon nanotubes (SWCN) ; Three dimensional ; Carbon nanotubes
  8. Source: Thin-Walled Structures ; Volume 47, Issue 6-7 , 2009 , Pages 646-652 ; 02638231 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0263823108002413