Free Vibration Analysis of Carbon Nanotubes Based on Shear Deformable Beam Theory by Discrete Singular Convolution Technique

Çiğdem Demir; Ömer Civalek; Bekir Akgöz

doi:10.3390/mca15010057

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1 April 2010

Free Vibration Analysis of Carbon Nanotubes Based on Shear Deformable Beam Theory by Discrete Singular Convolution Technique

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Akdeniz University, Faculty of Engineering, Civil Engineering Department Division of Mechanics, Antalya, Turkey

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Math. Comput. Appl.2010, 15(1), 57-65;https://doi.org/10.3390/mca15010057

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Abstract

In this study, free vibration analysis of carbon nanotubes is investigated based on Timoshenko beam theory. Discrete singular convolution (DSC) method is used for free vibration problem of numerical solution of carbon nanotubes. Numerical results are presented and compared with that available in the literature. It is shown that reasonable accurate results are obtained.

Keywords:

Carbon Nanotubes; Timoshenko Beam; Free Vibration; Discrete Singular Convolution

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