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http://dx.doi.org/10.12989/scs.2020.37.5.621

Effect of power law index for vibration of armchair and zigzag single walled carbon nanotubes  

Khadimallah, Mohamed Amine (Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department)
Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad)
Publication Information
Steel and Composite Structures / v.37, no.5, 2020 , pp. 621-632 More about this Journal
Abstract
This research deals with the study of vibrational behavior of armchair and zigzag single-walled carbon nanotubes invoking extended Love shell theory. The effects of different physical and material parameters on the fundamental frequencies are investigated. 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. To discretize the governing equation in eigen-value form, wave propagation approach is developed. Complex exponential functions have been used and the axial model depends on boundary condition that has been described at the edges of carbon nanotubes to calculate the axial modal dependence. Computer software MATLAB is utilized for the frequencies of single-walled carbon nanotubes and current results shows a good stability with comparison of other studies.
Keywords
power law index; armchair and zigzag; MATLAB; volume fraction;
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