Effects of magnetic field on size sensitivity of nonlinear vibration of embedded nanobeams

被引：7
|
作者：
Zhao, Dong [1 ]
Liu, Ying [1 ]
Tang, Yu-gang [1 ]
机构：
[1] Beijing Jiaotong Univ, Dept Mech, Sch Civil Engn, Beijing 100044, Peoples R China
来源：
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2019年 / 26卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Timoshenko nanobeam; nonlinear vibration; magnetic field; size effect; WALLED CARBON NANOTUBES; NONLOCAL ELASTICITY;
D O I：
10.1080/15376494.2018.1432783
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The influence of magnetic field on size sensitivity of nonlinear vibration of embedded nanobeams is studied based on von Karman geometric nonlinearity and nonlocal Timoshenko beam theory. Adopting Hamilton's principle, governing equations for nonlinear vibration of nanobeams are derived and then solved by using Differential Quadrature method to obtain nonlinear responses under different boundary conditions. The results reveal that high magnetic flux restrains nonlinear vibration of nanobeams. At higher magnetic flux, the nonlocal effect could be ignored. For soft foundation, nonlinear vibration of embedded nanobeams is independent on its stiffness variation, and the increase of magnetic flux broadens this range.
引用
收藏
页码：948 / 956
页数：9
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