4.6 Article

Service ability design of vibrating chiral SWCNTs: Validation and parametric study

Journal

COMPUTERS AND CONCRETE
Volume 32, Issue 4, Pages 393-398

Publisher

TECHNO-PRESS
DOI: 10.12989/cac.2023.32.4.393

Keywords

boundary conditions; chiral SWCNTs; Flugge shell theory; length-to-diameter ratios; Rayleigh-Ritz method

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This paper investigates the free vibrations of chiral carbon nanotubes. A novel model is proposed to better represent the vibration characteristics of chiral tubes, and the frequencies are analyzed using the variational approach Rayleigh-Ritz method. The results show that the frequencies of carbon nanotubes increase as the aspect ratios decrease. The accuracy of the model is verified through comparison with experimental and numerical results.
This paper provides the free vibrations of chiral carbon nanotubes. The governing equations of Flugge theory is considered for vibration frequencies of chiral single walled carbon nanotubes. The solution of frequency equation is obtained from a novel model for better representation of stubby and short vibration characteristics of chiral tubes with clamped-clamped and clamped-simply supported end conditions. For the harmonic response of this tube, the model displacement function is adopted. The variational approach Rayleigh-Ritz method with kinetic and strain energies are used. The Lagragian function is differentiated with respect to unknown functions. The frequency equation is written in compact form to solve with MATLAB software. The frequencies of chiral SWCNTs for first ten aspect ratios as small level are investigated. The results shown as for decreasing the aspect rations, the frequencies are increases. The presented results of this model are verified with experimental and numerical results, which found as an excellent agreement.

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