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Response of orthotropic Kelvin modeling for single-walled carbon nanotubes: Frequency analysis

  • Hussain, Muzamal (Department of Mathematics, Government College University Faisalabad) ;
  • Naeem, Muhammad N. (Department of Mathematics, Government College University Faisalabad) ;
  • Tounsi, Abdelouahed (Materials and Hydrology Laboratory University of Sidi Bel Abbes, Algeria Faculty of Technology Civil Engineering Department)
  • Received : 2019.10.05
  • Accepted : 2020.02.24
  • Published : 2020.04.25
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Abstract

In this paper, modified Kelvin's model has been used to analyze the orthotropic vibration frequencies of single walled carbon nanotubes with clamped-clamped and clamped-free boundary conditions. For this system the governing equation is developed with wave propagation approach. Armchair, zigzag and chiral structures are considered for the vibrational analysis to investigate the effect of different modes, in-plane rigidity and mass density per unit lateral area. Throughout the computations, on decreasing the length-to-diameter ratios, the frequencies of said structure increases. In addition, by increasing three different value of in-plane rigidity resulting frequencies also increase and frequencies decrease on increasing mass density per unit lateral area. The results generated using computer software MATLAB to furnish the evidence regarding applicability of present model and also verified by available published literature.

Keywords

Acknowledgement

The author(s) received no financial support for the research, authorship, and/or publication of this article.

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