碳纳米管增强功能梯度复合材料薄板建模与分析

doi:10.3901/JME.2018.16.093

机械工程学报 ›› 2018, Vol. 54 ›› Issue (16): 93-100.doi: 10.3901/JME.2018.16.093

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碳纳米管增强功能梯度复合材料薄板建模与分析

薛婷^1,2, 秦现生², 张顺琦³, 李鹏程⁴, 张书扬²

1. 西安建筑科技大学机电工程学院西安 710055;
2. 西北工业大学机电学院西安 710072;
3. 上海大学机电工程与自动化学院上海 200444;
4. 中国电子科技集团第二十研究所西安 710000

收稿日期:2017-09-04 修回日期:2017-12-14 出版日期:2018-08-20 发布日期:2018-08-20
通讯作者: 张顺琦(通信作者),男,1984年出生,博士,副教授。主要研究方向为智能结构非线性有限元建模与仿真、结构主动振动控制、智能装备技术等。E-mail:zhangsq@shu.edu.cn
作者简介:薛婷,女,1989年出生。主要研究方向为智能装备、智能结构建模与仿真。E-mail:13488471635@163.com
基金资助:
国家自然科学基金（11602193）、载人航天预先研究项目（020301）、大连理工大学工业装备结构分析国家重点实验室开放基金（GZ1709）和南京航空航天大学机械结构力学及控制国家重点实验室开放课题（MCMS-0517G01）资助项目。

Geometrically Linear Modeling and Analysis of Functionally Graded Carbon Nanotube-reinforced Composite Rectangular Plates

XUE Ting^1,2, QIN Xiansheng², ZHANG Shunqi³, LI Pengcheng⁴, ZHANG Shuyang²

1. School of Mechanical and Electrical Engineering, Xi'an University of Architecture and Technology, Xi'an 710055;
2. School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072;
3. School of Mechanical and Electrical Engineering and Automation, Shanghai University, Shanghai 200436;
4. The 20 th Research Institute of China electronic technology group Corporation, Xi'an 710000

Received:2017-09-04 Revised:2017-12-14 Online:2018-08-20 Published:2018-08-20

摘要/Abstract

摘要： 碳纳米管（Carbon Nanotube，CNT）增强功能梯度薄板的超高弹性模量、低密度及纤维结构等特点，使其具有广泛的应用前景，但是材料组成结构的复杂性给建模带来了难处。基于Reissner-Mindlin假设，建立碳纳米管增强功能梯度复合材料薄板结构的线性有限元模型，分别分析CNT增强体的分布形式、体积率、边界条件及结构的几何尺寸等因素对该功能梯度复合材料薄板结构性能的影响。通过四边简支及均匀面载荷下的板结构响应数据验证了所建模型的准确性。利用所建模型对CNT增强功能梯度薄板结构进行了几何线性的计算与仿真。研究表明：随着CNT增强体体积率的增加，FGM薄板的形变量减小； X型分布的功能梯度板的形变量最小，O型分布的薄板形变量最大，均一及V型分布产生的形变量大小介于两者之间；当薄板宽厚比小于50时，FGM板变形量趋于稳定且较小。

关键词: 板壳结构, 功能梯度材料, 碳纳米管

Abstract: Carbon nanotube (CNT) has a wide range of applications because of high elastic modulus, low density and fiber structure. Due to the complexity of structural composition, it has brought difficulties to the modeling. Based on the Reissner-Mindlin hypothesis, the linear finite element analysis of the carbon nanotube-reinforced gradient composite plates is established. The effects of distribution form, volume ratio of the CNT reinforcement and geometric parameters of the plates on composite structure are verified respectively. The accuracy of the model is verified by the experiment of the plate structure under simple support and uniform load. The geometrical linear calculation and simulation of CNT-strengthened functionally graded plates are carried out using this model. The results show that the deformation of FGM plate decreases with the increase of the volume fraction of CNT, among different distribution forms, deformation of X-shaped functional distribution form is the smallest, and that of O-shaped functional distribution form is the largest, and that of uniformed distribution form and V-shaped distribution form are in the middle; when the side to thickness ratio is less than 50, FGM plate deformation tends to be stable and small.

Key words: carbon nanotubes, functionally graded materials, plate and shell structure

中图分类号:

O343

薛婷, 秦现生, 张顺琦, 李鹏程, 张书扬. 碳纳米管增强功能梯度复合材料薄板建模与分析[J]. 机械工程学报, 2018, 54(16): 93-100.

XUE Ting, QIN Xiansheng, ZHANG Shunqi, LI Pengcheng, ZHANG Shuyang. Geometrically Linear Modeling and Analysis of Functionally Graded Carbon Nanotube-reinforced Composite Rectangular Plates[J]. Journal of Mechanical Engineering, 2018, 54(16): 93-100.

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碳纳米管增强功能梯度复合材料薄板建模与分析

Geometrically Linear Modeling and Analysis of Functionally Graded Carbon Nanotube-reinforced Composite Rectangular Plates

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