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A shell model for free vibration analysis of carbon nanoscroll

Taraghi Osguei, A ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.3390/ma10040387
  3. Abstract:
  4. Carbon nanoscroll (CNS) is a graphene sheet rolled into a spiral structure with great potential for different applications in nanotechnology. In this paper, an equivalent open shell model is presented to study the vibration behavior of a CNS with arbitrary boundary conditions. The equivalent parameters used for modeling the carbon nanotubes are implemented to simulate the CNS. The interactions between the layers of CNS due to van der Waals forces are included in the model. The uniformly distributed translational and torsional springs along the boundaries are considered to achieve a unified solution for different boundary conditions. To study the vibration characteristics of CNS, total energy including strain energy, kinetic energy, and van der Waals energy are minimized using the Rayleigh-Ritz technique. The first-order shear deformation theory has been utilized to model the shell. Chebyshev polynomials of first kind are used to obtain the eigenvalue matrices. The natural frequencies and corresponding mode shapes of CNS in different boundary conditions are evaluated. The effect of electric field in axial direction on the natural frequencies and mode shapes of CNS is investigated. The results indicate that, as the electric field increases, the natural frequencies decrease. © 2017 by the authors
  5. Keywords:
  6. Arbitrary boundary condition ; Natural frequency ; Shell modeling ; Boundary conditions ; Eigenvalues and eigenfunctions ; Electric fields ; Graphene ; Kinetic energy ; Kinetics ; Natural frequencies ; Plates (structural components) ; Polynomials ; Shear deformation ; Shells (structures) ; Strain energy ; Structural panels ; Van der waals forces ; Yarn ; Arbitrary boundary conditions ; Carbon nanoscroll ; Different boundary condition ; First-order shear deformation theory ; Natural frequencies and modes ; Shell models ; Van der walls interactions ; Vibration characteristics ; Vibration analysis
  7. Source: Materials ; Volume 10, Issue 4 , 2017 ; 19961944 (ISSN)
  8. URL: https://www.mdpi.com/1996-1944/10/4/387