压电集成碳纳米管CNT增强功能梯度结构非线性建模与仿真

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (6) : 278-282.

论文

王雄1，高英山2，张顺琦2，薛婷3，陈敏4

作者信息 +

Nonlinear modeling and simulation of piezoelectric integrated carbon nanotube reinforced functionally graded structures

WANG Xiong1, GAO Yingshan2, ZHANG Shunqi2, XUE Ting3, CHEN Min4

Author information +

文章历史 +

摘要

将碳纳米管（carbon nanotube，CNT）以梯度形式分布与基体材料结合，形成功能梯度（functionally graded，FG）结构。为了实现FG-CNT增强复合板在发生大变形时的准确计算，考虑四种典型的CNT分布形式，均匀分布、V型分布、O型分布和X型分布，建立基于Reissner-Mindlin板壳假设的大变形几何非线性有限元模型。该模型不仅包含了几何全非线性应变位移关系，还考虑了薄板结构法向发生大转角的情形。该研究与文献结果进行比较，验证模型的准确性；对FG-CNT增强复合板进行几何大变形非线性计算，分析CNT分布形式、CNT增强角度等因素对FG-CNT增强复合板刚度的影响。研究结果表明，CNT分布形式及增强角度对FG-CNT复合板的力学特征有显著的影响。

Abstract

The distribution of carbon nanotube (CNT) reinforcements in fundamental material may form functionally graded CNT structures (FG-CNT).To simulate the FG-CNT structures at large deformation, four typical CNT distribution patterns were considered, i.e., uniform, V-shaped, O-shaped and X-shaped.A geometrically nonlinear model was built based on the plate and shell theory of Reissner-Mindlin hypothesis.The nonlinear model includes not only the fully geometrically nonlinear strain-displacement relations, but also the large rotations of the shell structure in normal direction.The proposed approach was first validated through the comparison with the literature results.Then, it was applied to solve the large deformations of FG-CNT reinforced composite structures, aiming at the study of the impact of CNT on the stiffness design of composite plates.The results illustrate that the CNT distributions and reinforcement orientations have a remarkable influence on the mechanical properties of FG-CNT composite plates.

导出引用

王雄1，高英山2，张顺琦2，薛婷3，陈敏4. 压电集成碳纳米管CNT增强功能梯度结构非线性建模与仿真[J]. 振动与冲击, 2021, 40(6): 278-282

WANG Xiong1, GAO Yingshan2, ZHANG Shunqi2, XUE Ting3, CHEN Min4. Nonlinear modeling and simulation of piezoelectric integrated carbon nanotube reinforced functionally graded structures[J]. Journal of Vibration and Shock, 2021, 40(6): 278-282

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