Effect of Longitudinal Magnetic Field on Vibration Characteristics of Single-Walled Carbon Nanotubes in a Viscoelastic Medium

被引:6
|
作者
Zhang, D. P. [1 ]
Lei, Y. [1 ]
Shen, Z. B. [1 ]
机构
[1] Natl Univ Def Technol, Coll Aerosp Sci & Engn, Changsha 410073, Hunan, Peoples R China
基金
中国国家自然科学基金;
关键词
Carbon nanotubes; Magnetic field; Viscoelastic medium; Vibration; NONLOCAL ELASTICITY; WAVE-PROPAGATION; ELECTRONIC-PROPERTIES; TRANSVERSE VIBRATION; THERMAL-STABILITY; SIMPLE SHEAR; PLATES; DEFORMATION; FLUID; COMPOSITES;
D O I
10.1007/s13538-017-0524-x
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The effect of longitudinal magnetic field on vibration response of a sing-walled carbon nanotube (SWCNT) embedded in viscoelastic medium is investigated. Based on nonlocal Euler-Bernoulli beam theory, Maxwell's relations, and Kelvin viscoelastic foundation model, the governing equations of motion for vibration analysis are established. The complex natural frequencies and corresponding mode shapes in closed form for the embedded SWCNT with arbitrary boundary conditions are obtained using transfer function method (TFM). The new analytical expressions for the complex natural frequencies are also derived for certain typical boundary conditions and Kelvin-Voigt model. Numerical results from the model are presented to show the effects of nonlocal parameter, viscoelastic parameter, boundary conditions, aspect ratio, and strength of the magnetic field on vibration characteristics for the embedded SWCNT in longitudinal magnetic field. The results demonstrate the efficiency of the proposed methods for vibration analysis of embedded SWCNTs under magnetic field.
引用
收藏
页码:640 / 656
页数:17
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