Thermo-electro-mechanical vibration of size-dependent piezoelectric cylindrical nanoshells under various boundary conditions

被引：161
作者：
Ke, L. L. [1 ]
Wang, Y. S. [1 ]
Reddy, J. N. [2 ]
机构：
[1] Beijing Jiaotong Univ, Inst Engn Mech, Beijing 100044, Peoples R China
[2] Texas A&M Univ, Dept Mech Engn, College Stn, TX 77843 USA
来源：
COMPOSITE STRUCTURES | 2014年 / 116卷
基金：
美国国家科学基金会;
关键词：
Cylindrical shells; Love's thin shell theory; Piezoelectric materials; Vibration; Nonlocal theory; Nanoshells; WALLED CARBON NANOTUBES; TIMOSHENKO BEAM THEORY; NONLOCAL CONTINUUM THEORY; DIFFERENTIAL QUADRATURE; WAVE-PROPAGATION; NONLINEAR VIBRATION; HYBRID LAYERWISE; ZNO NANOWIRES; SHELL THEORY; ELASTICITY;
D O I：
10.1016/j.compstruct.2014.05.048
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Thermo-electro-mechanical vibration of piezoelectric cylindrical nanoshells is studied using the nonlocal theory and Love's thin shell theory. The governing equations and boundary conditions are derived using Hamilton's principle. An analytical solution is first given for the simply supported piezoelectric nanoshell by representing displacement components in the double Fourier series. Then, the differential quadrature (DQ) method is employed to obtain numerical solutions of piezoelectric nanoshells under various boundary conditions. The influence of the nonlocal parameter, temperature rise, external electric voltage, radius-to-thickness ratio and length-to-radius ratio on natural frequencies of piezoelectric nanoshells are discussed in detail. It is found that the nonlocal effect and thermoelectric loading have a significant effect on natural frequencies of piezoelectric nanoshells. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：626 / 636
页数：11
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