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Size-dependent vibration analysis of carbon nanotubes

Published online by Cambridge University Press:  21 January 2019

Wu-Rong Jian
Affiliation:
Department of Engineering Mechanics, South China University of Technology, Guangzhou, Guangdong 510640, People’s Republic of China
Xiaohu Yao
Affiliation:
Department of Engineering Mechanics, South China University of Technology, Guangzhou, Guangdong 510640, People’s Republic of China
Yugang Sun
Affiliation:
Department of Engineering Mechanics, South China University of Technology, Guangzhou, Guangdong 510640, People’s Republic of China
Zhuocheng Xie
Affiliation:
Department of Engineering Mechanics, South China University of Technology, Guangzhou, Guangdong 510640, People’s Republic of China
Xiaoqing Zhang
Affiliation:
Department of Engineering Mechanics, South China University of Technology, Guangzhou, Guangdong 510640, People’s Republic of China
Corresponding
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Abstract

Considering the nonlocal small-scale effect and surface effect, we perform the size-dependent vibration analysis of carbon nanotube (CNT). The modified governing equations for CNT’s vibration behaviors are derived by using the nonlocal Euler–Bernoulli and Timoshenko beam models, together with the consideration of surface tension and surface elasticity. According to the numerical experiments, both small-scale effect and surface effect make a substantial difference. For flexural vibration, size effect for CNT’s vibration behaviors weakens with the increase of its diameter, but strengthens with the increase of the length–diameter ratio; for shear vibration with constant length–diameter ratio, a nonlinear correlation between size effect and CNT’s diameter exists, suggesting that there is a typical diameter for CNTs, which corresponds to the “strongest” size effect. In addition, the effects of elastic substrate modulus, temperature change, and axial preloading on the vibration behaviors and their size-dependence are analyzed, respectively.

Type
Invited Paper
Copyright
Copyright © Materials Research Society 2019 

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