TRANSVERSE VIBRATION OF A HANGING NONUNIFORM NANOSCALE TUBE BASED ON NONLOCAL ELASTICITY THEORY WITH SURFACE EFFECTS

被引：12

作者：

Roostai, Hossein ^{[1
]}

Haghpanahi, Mohammad ^{[1
]}

机构：

[1] Iran Univ Sci & Technol, Dept Mech Engn, Tehran, Iran

来源：

ACTA MECHANICA SOLIDA SINICA | 2014年 / 27卷 / 02期

关键词：

nonlocal elasticity theory; vibration; surface effects; nanoscale tube; CONTINUUM-MECHANICS; CARBON NANOTUBES; SYSTEMS; WAVES;

D O I：

10.1016/S0894-9166(14)60030-6

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The aim of this paper is to study the free transverse vibration of a hanging nonuniform nanoscale tube. The analysis procedure is based on nonlocal elasticity theory with surface effects. The nonlocal elasticity theory states that the stress at a point is a function of strains at all points in the continuum. This theory becomes significant for small-length scale objects such as micro- and nanostructures. The effects of nonlocality, surface energy and axial force on the natural frequencies of the nanotube are investigated. In this study, analytical solutions are formulated for a clamped-free Euler-Bernoulli beam to study the free vibration of nanoscale tubes.

引用

页码：202 / 209

页数：8

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