基于物理中面的压电功能梯度板几何非线性弯曲分析

玻璃钢/复合材料 ›› 2016, Vol. 0 ›› Issue (11): 5-10.

• 基础研究 • 下一篇

基于物理中面的压电功能梯度板几何非线性弯曲分析

李双蓓^1,2,3, 吴海¹, 崔凯¹

1.广西大学土木建筑工程学院,南宁530004;
2.广西防灾减灾与工程安全重点实验室,南宁530004;
3.广西大学工程防灾与结构安全教育部重点实验室,南宁530004

收稿日期:2016-06-07 出版日期:2016-11-30 发布日期:2016-11-30
作者简介:李双蓓(1963-),女,博士,教授,主要从事复合材料结构和力学方面的研究。
基金资助:
国家自然科学基金项目(11562001);广西自然科学基金项目(2014GXNSFAA118020);广西重点实验室系统性研究项目(2014ZDX02)

GEOMETRIC NONLINEAR BENDING ANALYSIS OF PIEZOELECTRIC FUNCTIONALLY GRADED PLASES BASED ON NEUTRAL SURFACE

LI Shuang-bei^1,2,3, WU Hai¹, CUI Kai¹

1.College of Civil Engineering and Architecture, Guangxi University, Nanning 530004, China;
2.Guangxi Key Laboratory of Disaster Prevention and Engineering Safety, Guangxi University, Nanning 530004, China;
3.Key Laboratory of Disaster Prevention and Structural Safety of Ministry of Education, Guangxi University, Nanning 530004, China

Received:2016-06-07 Online:2016-11-30 Published:2016-11-30

摘要/Abstract

摘要： 基于物理中面的概念,建立了压电功能梯度板(FGM)几何非线性静力弯曲的基本方程,利用Ritz法研究了材料性质、梯度指数等对FGM板考虑几何非线性时弯曲变形的影响,并通过不同的电压施加方式探讨了压电材料对FGM板变形控制的规律。与已有文献结果对比分析表明,本文建立的方程和采用的方法是可靠的;基于几何非线性方程求解功能梯度材料板的静力变形时,计算偏差随着物理中面与几何中面位置偏差的增大而增大,在利用压电材料对FGM板的变形进行控制时,宜采用物理中面。

关键词: 功能梯度板, 压电材料, 静力弯曲, 物理中面, 几何非线性, 变形控制

Abstract: According to the concept of neutral surface, the basic equation for geometric nonlinear static bending of functionally graded material (FGM) plates was established. By Ritz method, the effects of gradient index and material properties taking into account of the geometric nonlinear on bending deformation of FGM plates were analyzed. Also,the variation of deformation control was explored when FGM plates were subjected to different electric fields.The accuracy of the present equation and method is verified by comparing them with known results. The static deformation of FGM plates was solved by the geometric nonlinear equation. Analysis results show that the difference increases with the increase of neutral axis shift. The neutral surface should be considered when using piezoelectric material to control the deformation of FGM plates.

Key words: functionally graded plates, piezoelectric material, bending, neutral surface, geometric nonlinear, deformation control

中图分类号:

TB332

李双蓓, 吴海, 崔凯. 基于物理中面的压电功能梯度板几何非线性弯曲分析[J]. 玻璃钢/复合材料, 2016, 0(11): 5-10.

LI Shuang-bei, WU Hai, CUI Kai. GEOMETRIC NONLINEAR BENDING ANALYSIS OF PIEZOELECTRIC FUNCTIONALLY GRADED PLASES BASED ON NEUTRAL SURFACE[J]. Fiber Reinforced Plastics/Composites, 2016, 0(11): 5-10.

参考文献

[1] Koizumi M. The concept of FGM[J]. Ceramic Transactions Functionally Gradient Materials,1993, 34: 3-10.
[2] 沈惠申. 功能梯度复合材料板壳结构的弯曲、屈曲和振动[J]. 力学进展, 2004, 34(1): 53-60.
[3] Zabihollah A, Sedagahti R, Ganesan R. Active vibration suppression of smart laminated beams using layerwise theory and an optimal control strategy[J]. Smart Materials and Structures, 2007, 16(6): 2190-2201.
[4] 李双蓓, 黄君, 顾春霞, 等. 强电场下压电功能梯度板非线性动力分析的样条有限点法[J]. 玻璃钢/复合材料, 2014(4): 8-12.
[5] Mantari J L, Oktem A S, Soares C G. Bending response of functionally graded plates by using a new higher order shear deformation theory[J]. Composite Structures, 2012, 94(2): 714-723.
[6] 李秋全. 功能梯度板弯曲有限元分析[D]. 扬州: 扬州大学硕士学位论文, 2013.
[7] 黄立新, 杨真真, 张晓磊, 等. 基于ABAQUS的功能梯度材料等参梯度有限元分析[J]. 玻璃钢/复合材料, 2014(2): 33-39.
[8] 王明禄, 马文蕾, 魏高峰. 热载荷下功能梯度材料梁的热弹性弯曲[J]. 玻璃钢/复合材料, 2009(1): 7-9.
[9] Ashraf M. Zenkour. Generalized shear deformation theory for bending analysis of functionally graded plates[J]. Applied Mathematical Modelling, 2006, 30: 67-84.
[10] K.K. Pradhan, S. Chakraverty.Static analysis of functionally graded thin rectangular plates with various boundary supports[J]. Archives of Civil and Mechanical Engineering, 2015, 15: 721-734.
[11] Abrate S. Functionally Graded plates behave like homogeneous plates[J]. Composites Part B-Engineering, 2008, 39(1): 151-158.
[12] 张大光. 基于物理中面功能梯度材料板壳结构分析[D]. 兰州: 兰州大学博士学位论文, 2010年.
[13] 王建哲. 压电功能梯度梁非线性静动力学行为研究[D]. 长沙: 湖南大学硕士学位论文, 2012.
[14] Prakash T, Singha M K, Ganapathi M. Influence of neutral surface position on the nonlinear stability behavior of functionally graded plates[J]. Computational mechanics, 2009, 43(3): 341-350.
[15] Singha M K, Prakash T, Ganapathi M. Finite element analysis of functionally graded plates under transverse load[J]. Finite elements in Analysis and Design, 2011, 47(4): 453-460.
[16] Lee Y H, Bae S I, Kim J H. Thermal buckling behavior of functionally graded plates based on neutral surface[J]. Composite Structures, 2016,137: 208-214.

基于物理中面的压电功能梯度板几何非线性弯曲分析

GEOMETRIC NONLINEAR BENDING ANALYSIS OF PIEZOELECTRIC FUNCTIONALLY GRADED PLASES BASED ON NEUTRAL SURFACE

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