Bending and free vibration of functionally graded piezoelectric beam based on modified strain gradient theory

被引：119
作者：
Li, Y. S. [1 ]
Feng, W. J. [2 ]
Cai, Z. Y. [1 ,3 ]
机构：
[1] Hebei Univ Engn, Coll Civil Engn, Handan 056038, Peoples R China
[2] Shijiazhuang Tiedao Univ, Dept Engn Mech, Shijiazhuang 050043, Peoples R China
[3] Xingtai Univ, Xingtai 054001, Peoples R China
来源：
COMPOSITE STRUCTURES | 2014年 / 115卷
关键词：
Modified strain gradient theory; Timoshenko beam theory; Size effect; Free vibration; Piezoelectric beam; COUPLE STRESS THEORY; ELASTICITY THEORY; ZNO NANOWIRES; PLATES; DESIGN; BARS;
D O I：
10.1016/j.compstruct.2014.04.005
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
A size-dependent functionally graded piezoelectric beam model is developed using a variational formulation. It is based on the modified strain gradient theory and Timoshenko beam theory. The material properties of functionally graded piezoelectric beam are assumed to vary through the thickness according to a power law. The new model contains three material length scale parameters and can capture the size effect, unlike the classical beam theory. To illustrate the new functionally graded piezoelectric beam model, the static bending and free vibration problems of a simply supported beam are numerical solved. These results may be useful in the analysis and design of smart structures constructed from piezoelectric materials. (C) 2014 Elsevier Ltd. All rights reserved.
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页码：41 / 50
页数：10
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