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

Abstract

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

CLC Number:

TB332

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.

References

[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.