Resonance frequency of chiral single-walled carbon nanotubes using Timoshenko beam theory |
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Authors: | Jung-Chang Hsu Win-Jin Chang |
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Affiliation: | a Department of Mechanical Engineering, Kun Shan University, Tainan 710, Taiwan b Institute of Microelectronics, National Cheng Kung University, Tainan 710, Taiwan |
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Abstract: | This Letter develops a model that analyzes the resonant frequency of the chiral single-walled carbon nanotubes (SWCNTs) subjected to a thermal vibration by using Timoshenko beam model, including the effect of rotary inertia and shear deformation. The analytical solution is derived and the frequency equation is obtained. The results based on the beam model show that the frequency increases with decreasing the nanotube aspect ratio of length to diameter. In addition, the frequency obtained by Timoshenko beam model is lower than that calculated by Euler beam model. As the nanotube aspect ratio of length to diameter decreased, the discrepancy is more obvious. Furthermore, as the effect of thermal vibration increases, the frequency for chiral SWCNTs decreases. |
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Keywords: | 61.46.Fg 62.25.Jk 74.25.Ld |
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