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Advances in Concrete Construction
  Volume 9, Number 3, March 2020 , pages 301-312

Numerical study for nonlocal vibration of orthotropic SWCNTs based on Kelvin\'s model
Muzamal Hussain, Muhammad N. Naeem and Abdelouahed Tounsi

    This research deals with the study of the orthotropic vibrational features of single-walled carbon nanotubes according to Kelvin\'s model and to check the accuracy of the models, the results have been compared with earlier modeling/simulations. Obtaining rough approximations of the natural frequencies of CNTs using continuum equations are still a common procedure, even at high harmonics. The effects of different physical and material parameters on the fundamental frequencies are investigated for zigzag and chiral single-walled carbon nanotubes invoking Kelvin\'s theory. By using nonlocal Kelvin\'s model, the fundamental natural frequency spectra for two forms of single-walled carbon nanotubes (SWCNTs) have been calculated. The influence of frequencies with nonlocal parameters and bending rigidity are investigated in detail for these tubes. Computer software MATLAB is utilized for the frequencies of SWCNTs and current results shows a good stability with comparison of other studies.
Key Words
    SWCNTs; wave propagation approach; Kelvin Model; bending rigidity
Muzamal Hussain, Muhammad N. Naeem: Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan
Abdelouahed Tounsi: Materials and Hydrology Laboratory, Algeria Faculty of Technology Civil Engineering Department, University of Sidi Bel Abbes, Algeria; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

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