CNT纤维增强功能梯度复合板非线性建模与仿真

doi:10.3901/JME.2019.08.080

机械工程学报 ›› 2019, Vol. 55 ›› Issue (8): 80-87.doi: 10.3901/JME.2019.08.080

CNT纤维增强功能梯度复合板非线性建模与仿真

高英山¹, 张顺琦^1,2, 黄钟童¹

1. 上海大学机电工程与自动化学院上海 200072;
2. 大连理工大学工业装备结构分析国家重点实验室大连 116024

收稿日期:2018-07-30 修回日期:2018-12-14 出版日期:2019-04-20 发布日期:2019-04-20
通讯作者: 张顺琦(通信作者),1984年出生,博士,副教授,博士研究生导师。主要研究方向智能结构非线性有限元建模、智能结构主动振动控制、复合材料结构计算、高端智能装备。E-mail:zhangsq@shu.edu.cn
作者简介:高英山,男,1995年出生。主要研究方向智能结构主动振动控制。E-mail:1610616925@qq.com;黄钟童,男,1996年出生。主要研究方向智能结构主动振动控制。E-mail:13761893897@163.com
基金资助:
国家自然科学基金（11602193）、大连理工大学工业装备结构分析国家重点实验室开放课题（GZ1709）和陕西省自然科学基础研究计划（2017JQ1027）资助项目。

Nonlinear Modeling and Simulation of Carbon Nanotube Fiber Reinforced Composite Plate

GAO Yingshan¹, ZHANG Shunqi^1,2, HUANG Zhongtong¹

1. School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200072;
2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024

Received:2018-07-30 Revised:2018-12-14 Online:2019-04-20 Published:2019-04-20

摘要/Abstract

摘要： 基于一阶剪切变形假设和哈密顿原理建立了碳纳米管（Carbon nanotube，CNT）增强功能梯度板大变形非线性有限元模型，实现了CNT纤维增强功能梯度复合板在发生大变形时的准确计算。该非线性模型不但包含几何全非线性应变—位移关系，还考虑薄板结构法向发生大转角的情形。通过与已有数据对比验证了所建模型的准确性。利用所建模型对四种典型的CNT分布形式，即均匀分布、O型分布、V型分布和X型分布的CNT纤维增强功能梯度复合板进行几何大变形非线性计算和分析，讨论CNT体积分数、CNT分布方式、结构宽厚比和载荷对CNT纤维增强功能梯度复合板的影响。研究表明：随着CNT体积分数的增加，该功能梯度复合板的刚度随之增加；相同体积分数下，X型分布复合板的刚度最大，均匀分布和V型分布次之，O型分布复合板的刚度最小。为CNT纤维增强功能梯度复合板的工程应用提供参考。

关键词: 功能梯度材料, 几何非线性, 碳纳米管, 一阶剪切变形

Abstract: To achieve an accurate calcultation of carbon nanotube (CNT) fiber reinforced functionally graded composite plates in the case of large deformation, a large rotation nonlinear finite element model is developed for the CNT composite plates based on the first order shear deformation (FOSD) hypothesis and the Hamilton priciple, which not only includes the fully geometrically nonlinear strian-displacement relations, but also considers the large rotation of the shell director of plates. The model is first verified by the data in the reference. The geometrically nonlinear model are then applied to calculate and analyze four different CNT distributions, uniform, O-shaped, V-shaped and X-shapeddistributions. The effects of the CNT volume fraction, the CNT distribution, width to thickness ratio and loading of CNT fiber reinforced functional gradient composite plates. The investigations show that the larger of the volume fraction of CNT the higher of the stiffness of the composite plate; for the same volume fraction, the stiffness of X-shaped CNT plate is the largest, followed by uniform and V-shaped, and O-shaped CNT plate is the weaknest. Finally, the model provides a reference for the engineering application of CNT fiber reinforced funtionally graded composite plates.

Key words: carbon nanotubes, first order shear deformation, functional gradient materials, geometrically nonlinear

中图分类号:

O343

高英山, 张顺琦, 黄钟童. CNT纤维增强功能梯度复合板非线性建模与仿真[J]. 机械工程学报, 2019, 55(8): 80-87.

GAO Yingshan, ZHANG Shunqi, HUANG Zhongtong. Nonlinear Modeling and Simulation of Carbon Nanotube Fiber Reinforced Composite Plate[J]. Journal of Mechanical Engineering, 2019, 55(8): 80-87.

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CNT纤维增强功能梯度复合板非线性建模与仿真

Nonlinear Modeling and Simulation of Carbon Nanotube Fiber Reinforced Composite Plate

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