Nonlinear vibration of the piezoelectric nanobeams based on the nonlocal theory

被引：346

作者：

Ke, Liao-Liang ^{[1
]}

Wang, Yue-Sheng ^{[1
]}

Wang, Zheng-Dao ^{[1
]}

机构：

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

来源：

COMPOSITE STRUCTURES | 2012年 / 94卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Piezoelectric materials; Nonlinear vibration; Nonlocal theory; Nanobeams; Size effect; WALLED CARBON NANOTUBES; WAVE-PROPAGATION; GRAPHENE SHEETS; BUCKLING ANALYSIS; FORCE MICROSCOPE; ZNO NANOWIRES; PLATE-THEORY; ELASTICITY; SCALE; CRACK;

D O I：

10.1016/j.compstruct.2012.01.023

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper investigates the nonlinear vibration of the piezoelectric nanobeams based on the nonlocal theory and Timoshenko beam theory. The piezoelectric nanobeam is subjected to an applied voltage and a uniform temperature change. The nonlinear governing equations and boundary conditions are derived by using the Hamilton principle and discretized by using the differential quadrature (DQ) method. A direct iterative method is employed to determine the nonlinear frequencies and mode shapes of the piezoelectric nanobeams. A detailed parametric study is conducted to study the influences of the nonlocal parameter, temperature change and external electric voltage on the size-dependent nonlinear vibration characteristics of the piezoelectric nanobeams. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：2038 / 2047

页数：10

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