Bending, buckling, and free vibration of magnetoelectroelastic nanobeam based on nonlocal theory

被引：74
|
作者：
Li, Y. S. [1 ]
Ma, P. [2 ]
Wang, W. [1 ]
机构：
[1] Hebei Univ Engn, Coll Civil Engn, Handan 056038, Peoples R China
[2] Univ Hong Kong, Dept Civil Engn, Hong Kong, Hong Kong, Peoples R China
来源：
JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES | 2016年 / 27卷 / 09期
关键词：
Bending; buckling; free vibration; nonlocal theory; magnetoelectroelastic nanobeam; DYNAMIC FRACTURE-ANALYSIS; ELASTIC NANOBEAMS; CRACK; FORMULATION; SOLIDS;
D O I：
10.1177/1045389X15585899
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this work, bending, buckling, and free vibration of magnetoelectroelastic nanobeam are investigated based on nonlocal theory and Timoshenko beam theory. According to Maxwell equation and magnetoelectric boundary condition, the variation of electric and magnetic potentials along the thickness direction of the nanobeam is determined. Using Hamilton's principle, the governing equations of the magnetoelectroelastic nanobeam are derived. Numerical results reveal the effects of the nonlocal parameter and the electric and magnetic potentials on the transverse displacement, rotation, buckling load, and natural frequency. These results may be useful in the analysis and design of smart structures constructed from magnetoelectroelastic materials.
引用
收藏
页码：1139 / 1149
页数：11
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