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Structural Engineering and Mechanics Volume 76, Number 1, October10 2020 , pages 129-139 DOI: https://doi.org/10.12989/sem.2020.76.1.129 |
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Application of Kelvin’s approach for material structure of CNT: Polynomial volume fraction law |
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Muzamal Hussain
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| Abstract | ||
| In this piece of work, carbon nanotubes motion equations are framed by Kelvin’s method. Employment of the Kelvin’s method procedure gives birth to the tube frequency equation. It is also exhibited that the effect of frequencies is investigated by varying the different index of polynomial function. By using volume fraction for power law index, the fundamental natural frequency spectra for two forms of single-walled carbon nanotubes are calculated. The influence of frequencies against length-to-diameter ratios with varying power law index are investigated in detail for these tubes. Throughout the computation, it is observed that the frequency behavior for the boundary conditions follow as; clamped-clamped, simply supported-simply supported and these frequency curves are higher than that of clamped-free curves. Computer software MATLAB is utilized for the frequencies of single-walled carbon nanotubes. | ||
| Key Words | ||
| material structure; Kelvin’s approach; CNT; fraction law | ||
| Address | ||
| Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan | ||