STUDY OF DYNAMIC STABILITY OF THE DOUBLE-WALLED CARBON NANOTUBE UNDER AXIAL LOADING EMBEDDED IN AN ELASTIC MEDIUM BY THE ENERGY METHOD

被引：29

作者：

Arani, A. Ghorbanpour ^{[1
,2
]}

Hashemian, M. ^{[2
]}

Loghman, A. ^{[2
]}

Mohammadimehr, M. ^{[2
]}

机构：

[1] Univ Kashan, Inst Nanosci & Nanotechnol, Kashan, Iran

[2] Univ Kashan, Dept Mech Engn, Kashan 8731751167, Iran

来源：

JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS | 2011年 / 52卷 / 05期

关键词：

carbon nanotube; dynamic stability; energy method; elastic medium; axial loading; GRADED CYLINDRICAL-SHELLS;

D O I：

10.1134/S0021894411050178

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, the dynamic stability of single-and double-walled carbon nanotubes (SWCNT and DWCNT) under dynamic axial loading is investigated using the continuum mechanics model and the minimum total energy method. The natural frequencies of the SWCNT and the critical dynamic axial load of the SWCNT and DWCNT are obtained using the Rayleigh-Ritz method. The effects of the elastic medium and the van der Waals forces between the two layers in the DWCNT are taken into account using the Winkler model and Lennard-Jones theory, respectively. The effect of the small length scale is also considered using the Eringen Model. The critical dynamic axial load is increased by inserting an inner carbon nanotube (CNT) into an isolated CNT embedded in an elastic medium.

引用

页码：815 / 824

页数：10

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