Free vibration of size-dependent magneto-electro-elastic nanobeams based on the nonlocal theory

被引：188

作者：

Ke, Liao-Liang ^{[1
]}

Wang, Yue-Sheng ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, Inst Engn Mech, Beijing 100044, Peoples R China

来源：

PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES | 2014年 / 63卷

基金：

中国国家自然科学基金;

关键词：

Magneto-electro-elastic materials; Vibration; Nanobeams; Size effect; TIMOSHENKO BEAM THEORY; CARBON NANOTUBES; GRAPHENE SHEETS; TRANSVERSE VIBRATION; LAMINATE COMPOSITES; NONLINEAR VIBRATION; CONTINUUM THEORY; SURFACE; DWBNNTS; NANOSTRUCTURES;

D O I：

10.1016/j.physe.2014.05.002

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

This paper investigates the free vibration of magneto-electro-elastic (MEE) nanobeams based on the nonlocal theory and Timoshenko beam theory. The MEE nanobeam is subjected to the external electric potential, magnetic potential and uniform temperature rise. The governing equations and boundary conditions are derived by using the Hamilton principle and discretized by using the differential quadrature (DQ) method to determine the natural frequencies and mode shapes. A detailed parametric study is conducted to study the influences of the nonlocal parameter, temperature rise, external electric and magnetic potentials on the size dependent vibration characteristics of MEE nanobeams. (c) 2014 Elsevier B.V. All rights reserved.

引用

页码：52 / 61

页数：10

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