基于不同梯度模式压电功能梯度板的挠度与应力场分析

基于不同梯度模式压电功能梯度板的挠度与应力场分析

刘玮，丁丽霞，罗宏文

吉林大学数学学院，长春130012

收稿日期:2005-01-18 修回日期:1900-01-01 出版日期:2005-09-26 发布日期:2005-09-26
通讯作者: 丁丽霞

Analyses of In-plane Stress and Out-of-plane Displacement of Piezoelectric Functionally Graded Plates Base on Different Gradient Models

LIU Wei，DING Li-xia，LUO Hong-wen

College of Mathematics，Jilin University，Changchun 130012，China

Received:2005-01-18 Revised:1900-01-01 Online:2005-09-26 Published:2005-09-26
Contact: DING Li-xia

摘要/Abstract

摘要： 用解析方法模拟压电功能梯度材料物性参数沿空间分布的非线性特性.基于物性参数沿空间为多项式函数、非整数幂函数及e指数函数分布3种不同梯度模型，采用修正的层合板理论，对压电功能梯度材料平板的挠度及应力场进行了分析，并对数值结果进行对比研究.

关键词: 压电材料, 功能梯度材料, 梯度模型, 物性参数

Abstract: On the basis of three different gradient models which are polynomial function，fraction power function and exponent function respectively，we simulated the nonlinear characteristics of distribution of physical properties of the across the thickness of piezoelectric functionally graded material by means of analytic theory and obtained the in-plane stress and out-of-plane displacement by the modified classical lamination theory.

Key words: piezoelectric material, functionally graded material, gradient model, physical properties

中图分类号:

O343.7

刘玮，丁丽霞，罗宏文. 基于不同梯度模式压电功能梯度板的挠度与应力场分析[J]. J4, 2005, 43(05): 589-593.

LIU Wei，DING Li-xia，LUO Hong-wen. Analyses of In-plane Stress and Out-of-plane Displacement of Piezoelectric Functionally Graded Plates Base on Different Gradient Models[J]. J4, 2005, 43(05): 589-593.

[1]	韩冰, 王越, 孟繁浩, 张涛. 基于PVDF压电材料的压力传感器设计[J]. J4, 2012, 50(02): 333-336.
[2]	张恩杰, 陈立学, 朱品文, 洪友良, 郭伟力. 单向固化法制备功能梯度热电材料PbTe[J]. J4, 2010, 48(1): 124-126.
[3]	刘玮, 丁丽霞. 具有压电元件功能梯度弹性薄板的弯曲控制[J]. J4, 2008, 46(04): 618-622.
[4]	刘玮, 闫铂, 刘英同. 具有压电元件功能梯度梁的振动控制[J]. J4, 2008, 46(01): 1-5.
[5]	刘玮, 闫铂. 四边简支压电功能梯度矩形薄板的屈曲[J]. J4, 2006, 44(06): 845-851.
[6]	刘玮, 丁丽霞, 范海中. 压电功能梯度材料细观结构参数对材料性能的影响[J]. J4, 2006, 44(01): 15-20.