均布荷载作用下压电材料简支梁的解析解

张琳楠; 石志飞

均布荷载作用下压电材料简支梁的解析解

张琳楠¹,
石志飞²

1.
中国农业大学, 理学院, 北京, 100083;
2.
北方交通大学, 土木建筑工程学院, 100044

基金项目: 国家自然科学基金资助项目(50272003);高等学校优秀青年教师教学科研奖励计划基金资助项目(教人司2000[26]号)

详细信息

作者简介:
张琳楠(1977- ),女,四川人,硕士(E-mail:zfshi178@sohu.com).

中图分类号: O342
计量
- 文章访问数: 2361
- HTML全文浏览量: 74
- PDF下载量: 613
- 被引次数: 0
出版历程
- 收稿日期: 2002-03-12
- 修回日期: 2003-05-13
- 刊出日期: 2003-10-15

Analytical Solution of a Simply Supported Piezoelectric Beam Subjected to a Uniformly-Distributed Loading

ZHANG Lin-nan¹,
SHI Zhi-fei²

1.
College of Science, China Agriculture University, Beijing 100083, P.R.China;
2.
College of Civil Engineering and Architecture, Northern Jiaotong University, Beijing 100044, P.R.China

摘要

摘要: 采用逆解法求解了均布荷载作用下压电材料简支梁的解析解。首先给出应力函数和电位移函数的多项式表达式,进而根据相容方程以及应力和电位移、位移和电势的边界条件,求得了同时考虑材料弹性参数、密度参数和压电参数呈梯度变化时,简支梁在均布荷载作用下的解析解。作为特例还得到了常体力以及材料参数为常数时的解答。并对结果进行了讨论。
- 简支梁 /
- FGM /
- 解析解 /
- 压电材料
Abstract: Using the inverse method,the analytical solution of a simply supported piezoelcetric beam subjected to a uniformly distributed loading has been studied.First,the polynomials of stress function and induction function are given.Then,considering the gradient properties of the elastic parameter and the potential funciton as well as the piezoelectric parameter,the analytical solution of a simply supported beam subjected to a uniformly distributed loading is obtained and discussed.
- simply supported beam:FGM /
- analytical solution /
- piezoelectric material /

HTML全文

参考文献(13)

[1]	陶宝祺.智能材料结构[M].北京:国防工业出版社,1997.
[2]	Wang Z K, Zheng B L. The general solution of three-dimensional problems in pizoelectric media[J].Int J Solids Structures, 1995,32(1): 105-115.
[3]	Ding H J, Chen B, Liang J. General solutions for coupled equations for piezoelectric media[J]. Int J Solids Structures, 1996,33(16) :2283-2298.
[4]	Wang B. Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric material [J]. Int J Solids and Structures, 1992,29(3) :293-308.
[5]	Ha S K,Keilers C, Chang F K. Finite element analysis of composite structures containing distributed piezoelectric sensors and actuators[J].AIAA J, 1992,30(3) :772-780.
[6]	Hwang W S, Park H C. Finite element modeling of piezoelectric sensors and actuators[J]. AIAA J,1993,31(5) :930-937.
[7]	Wang Q M, Cross L E. Tip deflection and blocking force of soft PZT-based cantilever rainbow actuators[J]. JAm Ceram Soc, 1999,82(1): 103-110.
[8]	Kruusing A. Analysis and optimization of loaded cantilever beam microactuators[J]. Smart Mater Struct,2000,9(2): 186-196.
[9]	Zhu X H, Wang Q, Meng Z Y. A functionally gradient piezoelectric actuator prepared by powder metallurgical process in PNN-PZ-PT system[J]. J Materials Science Letters,1995,14(3) :516-518.
[10]	石志飞,黄彬彬,杜善义.功能材料力-电耦合问题的几个基本解[J].复合材料学报,2001,18(1):105-114.
[11]	SHI Zhi-fei. General solution of a density functionally gradient piezoelectric cantilever and its applications[J]. Smart Materials and Structures,2002,11(1): 122-129.
[12]	Wu C C M, Kahn M, Moy W. Piezoelectric Ceramics with functional gradients: A new application in material design[J]. JAm Ceram Soc, 1996,79(3) :809-812.
[13]	林启荣,刘正兴,金占礼.均布荷载作用下两端简支梁的解析解[J].应用数学和力学,2000,21(6):617-623.