Differential quadrature method for nonlocal nonlinear vibration analysis of a boron nitride nanotube using sinusoidal shear deformation theory

被引：8

作者：

Sadatshojaei, Erfan ^{[1
]}

Sadatshojaie, Ali ^{[2
]}

Fakhar, Mohammad Hosein ^{[3
]}

机构：

[1] Petr Univ Technol, Dept Petr Engn, Ahvaz, Iran

[2] Sharif Univ Technol, Dept Chem & Petr Engn, Tehran, Iran

[3] Islamic Azad Univ, Kashan Branch, Dept Mech Engn, Kashan 8715998151, Iran

来源：

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2016年 / 23卷 / 11期

关键词：

single walled boron nitride nanotubes (SWBNNT); nonlinear vibration; sinusoidal shear deformation theory; differential quadrature method (DQM); nonlinear elastic medium; CONTINUUM-MECHANICS; PLATES;

D O I：

10.1080/15376494.2015.1068407

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This article presents a nonlocal sinusoidal shear deformation beam theory (SDBT) for the nonlinear vibration of single-walled boron nitride nanotubes (SWBNNTs). The surrounding elastic medium is simulated based on nonlinear Pasternak foundation. Based on the nonlocal differential constitutive relations of Eringen, the equations of motion of the SWBNNTs are derived using Hamilton's principle. Differential quadrature method (DQM) for the nonlinear frequency is presented, and the obtained results are compared with those predicted by the nonlocal Timoshenko beam theory (TBT). The effects of nonlocal parameter, vibrational modes, length, and elastic medium on the nonlinear frequency of SWBNNTs are considered.

引用

页码：1278 / 1283

页数：6

共 18 条

[1] A general nonlocal beam theory: Its application to nanobeam bending, buckling and vibration [J].