Size-dependent vibration analysis of carbon nanotubes

被引：2

作者：

Jian, Wu-Rang ^{[1
]}

Yao, Xiaohu ^{[1
]}

Sun, Yugang ^{[1
]}

Xie, Zhuocheng ^{[1
]}

Zhang, Xiaoging ^{[1
]}

机构：

[1] South China Univ Technol, Dept Engn Mech, Guangzhou 510640, Guangdong, Peoples R China

来源：

JOURNAL OF MATERIALS RESEARCH | 2019年 / 34卷 / 13期

基金：

中国国家自然科学基金;

关键词：

microelectromechanical (MEMS); nanoscale; nanostructure; BOUNDARY-CONDITIONS; THERMAL VIBRATION; BEAM MODELS;

D O I：

10.1557/jmr.2018.431

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：2148 / 2160

页数：13

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