Computers and Concrete

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Prediction and assessment of nonlocal natural frequencies of DWCNTs: Vibration analysis

  • Asghar, Sehar (Department of Mathematics, Govt. College University Faisalabad) ;
  • Naeem, Muhammad N. (Department of Mathematics, Govt. College University Faisalabad) ;
  • Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) ;
  • Taj, Muhammad (Department of Mathematics, University of Azad Jammu and Kashmir) ;
  • Tounsi, Abdelouahed (Materials and Hydrology Laboratory, University of SidiBel Abbes, Algeria Faculty of Technology Civil Engineering Department)
  • Received : 2019.12.17
  • Accepted : 2020.01.30
  • Published : 2020.02.25
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Abstract

This paper aims to study vibration characteristics of chiral and zigzag double-walled carbon nanotubes entrenched on Donnell shell model. The Eringen's nonlocal elastic equations are being combined with Donnell shell theory to observe small scale response. Wave propagation is proposed technique to establish field equations of model subjected to four distinct end supports. A nonlocal model has been formulated to explore the frequency spectrum of both chiral and zigzag double-walled CNTs along with diversity of indices and nonlocal parameter. The significance of scale effect in relevance of length-to-diameter and thickness- to- radius ratios are discussed and displayed in detail. The numerical solution based on this nonlocal Donnell shell model can be further used to predict other frequency phenomena of double-walled and multi-walled CNTs.

Keywords

References

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  12. Stoneley wave propagation in nonlocal isotropic magneto-thermoelastic solid with multi-dual-phase lag heat transfer vol.38, pp.2, 2020, https://doi.org/10.12989/scs.2021.38.2.141
  13. Study and analysis of the free vibration for FGM microbeam containing various distribution shape of porosity vol.77, pp.2, 2020, https://doi.org/10.12989/sem.2021.77.2.217
  14. Geometrically nonlinear thermo-mechanical analysis of graphene-reinforced moving polymer nanoplates vol.10, pp.2, 2020, https://doi.org/10.12989/anr.2021.10.2.151
  15. Frequency characteristics and sensitivity analysis of a size-dependent laminated nanoshell vol.10, pp.2, 2020, https://doi.org/10.12989/anr.2021.10.2.175
  16. Elastic wave phenomenon of nanobeams including thickness stretching effect vol.10, pp.3, 2020, https://doi.org/10.12989/anr.2021.10.3.271
  17. Nonlocal free vibration analysis of porous FG nanobeams using hyperbolic shear deformation beam theory vol.10, pp.3, 2020, https://doi.org/10.12989/anr.2021.10.3.281
  18. Computer simulation for stability analysis of the viscoelastic annular plate with reinforced concrete face sheets vol.27, pp.4, 2020, https://doi.org/10.12989/cac.2021.27.4.369