Axial vibration analysis of nanorods (carbon nanotubes) embedded in an elastic medium using nonlocal elasticity

被引：140

作者：

Aydogdu, Metin ^{[1
]}

机构：

[1] Trakya Univ, Dept Mech Engn, TR-22180 Edirne, Turkey

来源：

MECHANICS RESEARCH COMMUNICATIONS | 2012年 / 43卷

关键词：

Nonlocal elastic rod model; Carbon nanotube; Axial vibration; Elastic medium; CONTINUUM-MECHANICS; WAVE CHARACTERISTICS; SHEAR DEFORMATION; MODELS; PROPAGATION; STRAIN; TUBES;

D O I：

10.1016/j.mechrescom.2012.02.001

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The axial vibration of single walled carbon nanotube embedded in an elastic medium is studied using nonlocal elasticity theory. The nonlocal constitutive equations of Eringen are used in the formulations. The effect of various parameters like stiffness of elastic medium, boundary conditions and nonlocal parameters on the axial vibration of nanorods is discussed. It is obtained that, the axial vibration frequencies of the embedded nanorods are highly over estimated by the classical continuum rod model which ignores the effect of small length scale. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：34 / 40

页数：7

共 44 条

[1] A sixth-order compact finite difference method for vibrational analysis of nanobeams embedded in an elastic medium based on nonlocal beam theory [J].