Two-dimensional theory of piezoelectric shells considering surface effect

被引：33
|
作者：
Zhang, Chunli [1 ,2 ]
Zhu, Jun [3 ]
Chen, Weiqiu [2 ]
Zhang, Ch. [1 ]
机构：
[1] Univ Siegen, Dept Civil Engn, D-57068 Siegen, Germany
[2] Zhejiang Univ, Dept Engn Mech, Hangzhou 310027, Zhejiang, Peoples R China
[3] Zhejiang Univ Technol, Coll Mech Engn, Hangzhou 310032, Zhejiang, Peoples R China
来源：
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS | 2014年 / 43卷
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Two-dimensional theory; Surface effects; Piezoelectric shells; ELASTIC FILMS; BEHAVIOR; VIBRATION; STRESS; WAVES;
D O I：
10.1016/j.euromechsol.2013.09.007
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Two-dimensional (2D) general equations of piezoelectric shells with nano-thickness are presented in an orthogonal curvilinear coordinate system, in which the surface effect is considered by treat the shell as a bulk core plus two surface layers. The general 2D equations can be directly degenerated into those of particular shells such as flat plates, cylindrical shells and so on by setting the Lame coefficients and the principal radii of curvature to certain values. Using the derived 2D equations of cylindrical shells, the free vibration of a radially polarized piezoelectric cylindrical shell of finite length is analyzed. Numerical results show that the surface effect has a remarkable influence on the natural frequency of the shell at the nano-scale. (C) 2013 Elsevier Masson SAS. All rights reserved.
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页码：109 / 117
页数：9
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