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Mechanical Sciences An open-access journal for theoretical and applied mechanics

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Mech. Sci., 8, 155-164, 2017
https://doi.org/10.5194/ms-8-155-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
Research article
02 Jun 2017
Vibration analysis of single-walled carbon nanotubes using wave propagation approach
Muzamal Hussain and Muhammad Nawaz Naeem Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan
Abstract. In this paper, influence of boundary conditions on free vibrations of single- walled carbon nanotubes (SWCNTs) is examined. The Flügge's shell dynamical equations are utilized for governing vibrations for carbon nanotubes. The wave propagation approach (WPA) is engaged to determine vibration frequency equation in standard eigenvalue form. The axial modal dependence is measured by the complex exponential functions implicating the axial modal numbers. These numbers are associated with boundary conditions specified at edges of a carbon nanotube. Computer programming is performed to obtain solutions of vibration frequency equation. In our new investigation, the vibration frequency spectra are obtained and analyzed for various physical parameters e.g., length and thickness-to-radius ratio. A number of results are presented to influence of different boundary conditions on SWCNTs. They are shown graphically and have been compared with those available in the literature.

Citation: Hussain, M. and Naeem, M. N.: Vibration analysis of single-walled carbon nanotubes using wave propagation approach, Mech. Sci., 8, 155-164, https://doi.org/10.5194/ms-8-155-2017, 2017.
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Short summary
This investigation presents a good application of wave propagation approach in the arena of CNTs vibrations. Finally, it is concluded that the presented CSM method is an alternative best choice to examine the overall vibration behavior of SWCNTs. The present investigation may be helpful in study of MWCNTs vibrations like considering aspects of high frequency oscillators and mechanical sensors.
This investigation presents a good application of wave propagation approach in the arena of CNTs...
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