[1]陈江瑛,翁国飞,丁皓江.功能梯度压电旋转圆环的三维解析解[J].深圳大学学报理工版,2009,26(3):321-326.
 CHEN Jiang-ying,WENG Guo-fei,and DING Hao-jiang.3D analytical solution for a piezoelectric rotating annular plate with functionally graded property[J].Journal of Shenzhen University Science and Engineering,2009,26(3):321-326.
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功能梯度压电旋转圆环的三维解析解()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
第26卷
期数:
2009年3期
页码:
321-326
栏目:
物理与应用物理
出版日期:
2009-07-31

文章信息/Info

Title:
3D analytical solution for a piezoelectric rotating annular plate with functionally graded property
文章编号:
1000-2618(2009)03-0321-06
作者:
陈江瑛1翁国飞1丁皓江2
1)宁波大学机械工程与力学学院,宁波 315211;
2)浙江大学建筑工程学院,杭州310027
Author(s):
CHEN Jiang-ying1WENG Guo-fei1and DING Hao-jiang2
1)Faculty of Mechanical Engineering and Mechanics,Ningbo University,Ningbo 315211,P.R.China
2)Department of Construction Engineering,Zhejiang University,Hangzhou 310027,P.R.China
关键词:
压电材料功能梯度旋转圆环三维解析解位移法
Keywords:
piezoelectric materialsfunctional gradeingrotating annular plate3D analytical solutiondisplacement method
分类号:
O 31;TB 39
文献标志码:
A
摘要:
基于三维压电弹性力学方程,采用直接位移法,给出横观各向同性功能梯度压电旋转圆环的三维解析解.设功能梯度压电材料参数是厚度坐标z的任意函数,广义位移分量是径向坐标r的幂函数的线性组合,其中含有9个待定的位移函数,它们是坐标z的函数.结合相应的边界条件,求解控制方程,通过直接积分确定位移函数和相应的积分常数,从而确定旋转圆环的力场和电场.算例展示一种材料的梯度指标对力场和电场的影响.
Abstract:
Three-dimensional(3D) analytical solution for a rotating annular plate made of functionally graded materials with transverse isotropy was obtained.It is based on the basic equations of piezoelectricity and the direct displacement method.The material parameters were assumed as the arbitrary functions of thickness coordinate (z).The general displacement components(displacement and the electric potential) were assumed as a linear combination of the power -functions of radial coordinate (r) with nine undetermined displacement functions.By means of the boundary conditions with direct integral approach,the governing equations of the annular were solved and the displacement functions and integral constants were given.Thus the general stress fields of the rotating annular were determined.Effects played by gradient index on the distributing of elastic and electric fields were studied humerically in an example.

参考文献/References:

[1]丁皓江,陈伟球.三维压电弹性力学问题[M].纽约:Nova 科学出版社.2001(英文版).
[2]丁皓江,陈伟球,ZHANG L C.横观各向同性弹性力学[M].多德勒支(荷兰):施普林格出版社.2006(英文版).
[3]Bayat Mehdi,Saleem M,Sahari B B,等.变厚度功能梯度旋转圆盘分析[J].力学研究通讯,2008,35:283-309(英文版).
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[5]陈江瑛,丁皓江,陈伟球.横观各向同性功能梯度旋转圆盘的三维解析解[J].应用力学文献,2007,77:241-251(英文版).
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[1]DING Hao-jiang,CHEN Wei-qiu.Three Dimensional Problems of Piezoelectricity[M].NY:Nova Science Publishers,Inc.2001.
[2]DING Hao-jiang,CHEN Wei-qiu,ZHANG L C.Elasticity of Transversely Isotropic Materials[M].Dordrecht(Holland):Springer Publishing Company.2006.
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[8]Leissa A W,Vagins M.The design of orthotropic materials for stress optimization[J].Int J Solids Structures,1978,14:517-526.

备注/Memo

备注/Memo:
收稿日期:2008-12-31;修回日期:2009-05-15
基金项目:国家自然科学基金资助项目(10472102);宁波大学王宽诚基金和人才基金资助项目(2006931)
作者简介:陈江瑛(1964-),女(汉族),广东省广州市人,宁波大学副研究员、博士.E-mail:chenjiangying@nbu.edu.cn
更新日期/Last Update: 2009-08-26