CNT梯度增强纤维压电复合板壳几何非线性建模与分析

doi:10.3901/JME.2020.16.044

机械工程学报 ›› 2020, Vol. 56 ›› Issue (16): 44-53.doi: 10.3901/JME.2020.16.044

扫码分享

CNT梯度增强纤维压电复合板壳几何非线性建模与分析

薛婷^1,2, 秦现生¹, 张顺琦³, 王战玺¹, 白晶¹

1. 西北工业大学机电学院西安 710072;
2. 西安建筑科技大学机电工程学院西安 710055;
3. 上海大学机电工程与自动化学院上海 200444

收稿日期:2019-09-21 修回日期:2020-06-06 出版日期:2020-08-20 发布日期:2020-10-19
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,博士研究生。主要研究方向为智能装备技术、智能结构建模与仿真、智能结构主动振动控制等。E-mail:xueting.mx@mail.nwpu.edu.cn
基金资助:
国家自然科学基金青年（11602193，51505380，11972020）、陕西省重点研发计划（2016KTZDGY4-03）、陕西省科技创新（2016KTZDGY4-12）和“111计划”（B13044）资助项目。

Geometrically Nonlinear Modeling and Analysis of Functionally Graded Carbon Nanotube-reinforced Composite Rectangular Plate Shells with MFCs

XUE Ting^1,2, QIN Xiansheng¹, ZHANG Shunqi³, WANG Zhanxi¹, BAI Jing¹

1. School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072;
2. School of Mechanical and Electrical Engineering, Xi'an University of Architecture and Technology, Xi'an 710055;
3. School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200444

Received:2019-09-21 Revised:2020-06-06 Online:2020-08-20 Published:2020-10-19

摘要/Abstract

摘要： 航天环境中大型挠性结构的振动衰减一直是亟待攻克的难题，粗纤维压电（Micro-fiber composite，MFC）的高柔性、强制动力特点以及碳纳米管（Carbon nanotube，CNT）的超高弹性模量、低密度属性使得CNT梯度增强纤维压电智能结构特别适用于航天高落差温度环境，基于一阶剪切变形大转角几何全非线性理论（First order shear deformation-large rotation theory，FSDT-LRT56）建立碳纳米管梯度增强粗纤维压电复合板壳分析模型具有重要的意义。模型中区别了两种结构的粗纤维压电，即MFC-d31和MFC-d33。悬臂梁板壳结构的力学响应及功能梯度碳纳米管频域分析验证了模型的准确性，基于该模型探究了碳纳米管增强体的分布形式、压电纤维角度对其力学性能的影响。研究表明，几何全非线性模型更能真实地反映板壳结构的实际变形情况；X型功能梯度分布可以更有效地改善板壳的刚度，使板壳力学性能最佳；MFC控制方式及纤维角度是板壳形状控制的主要因素，控制纤维角为90°时，结构变形取得最小值；不同的控制模式对板壳扭转控制产生很大的区别。基于大转角几何全非线性理论对压电智能薄壳结构的仿真分析对实现航天领域内大型挠性部件的形状控制、振动抑制等具有巨大的应用价值。

关键词: 一阶剪切变形大转角几何全非线性理论, 纤维压电, 梯度分布, 几何非线性

Abstract: Vibration suppression has been a problem needs to be overcome for large-scale flexible structures in the aerospace environment. High elastic modulus, low density advantages of carbon nanotube (CNT) and large actuation forces and flexibility of micro-fiber composite (MFC) make the CNT gradient-reinforced fiber piezoelectric smart structure particularly suitable for aerospace high drop temperature environment.Based on the first order shear deformation and large rotation theory with six parameters, the nonlinear finite element modeling and analysis of the carbon nanotube-reinforced gradient composite plate with MFCs is meaningful.The geometrically nonlinear finite element model is developed for two different kinds of MFC, namely MFC-d31 and MFC-d33.First, the accuracy of the model is validated by experiment results of a piezoelectric cantilever beam and a FG-CNTRC plate. Then, The effects of the distribution form of CNT and piezo fiber angle of MFC on composite structure are verified, respectively. It is found that the distribution form of CNT has a great effect on the stiffness of shell structure, reinforcing in X shape can improve the whole stiffness much more effectively, the plate shows the lowest deflection when fiber is vertical to the reinforcement direction, different control modes make a big difference in the torsion control of the plate and shell. The simulation analysis of piezoelectric smart thin-shell structure based on large rotation theory with six parameters has great application value for shape control and vibration suppression of large flexible components in the aerospace field.

Key words: first order shear deformation-large rotation theory with six parameters, piezoelectric fiber, graded distribution, geometrically nonlinear

中图分类号:

O343

薛婷, 秦现生, 张顺琦, 王战玺, 白晶. CNT梯度增强纤维压电复合板壳几何非线性建模与分析[J]. 机械工程学报, 2020, 56(16): 44-53.

XUE Ting, QIN Xiansheng, ZHANG Shunqi, WANG Zhanxi, BAI Jing. Geometrically Nonlinear Modeling and Analysis of Functionally Graded Carbon Nanotube-reinforced Composite Rectangular Plate Shells with MFCs[J]. Journal of Mechanical Engineering, 2020, 56(16): 44-53.

参考文献

[1] LIEW K M, LEI Z X, ZHANG L W. Mechanical analysis of functionally graded carbon nanotube reinforced composites:A review[J]. Composite Structures, 2015, 120:90-97.
[2] 薛婷, 秦现生, 张顺琦, 等. 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, et al. Geometrically linear modeling and analysis of functionally graded carbon nanotube-reinforced composite rectangular plates[J]. Journal of Mechanical Engineering, 2018, 54(16):93-100.
[3] CHEN W, LI L, MA X. A modified couple stress model for bending analysis of composite laminated beams with first order shear deformation[J]. Composite Structures, 2011, 93(11):2723-2732.
[4] WANG W L, HU S J. Modal response and frequency shift of the cantilever in a noncontact atomic force microscope[J]. Applied Physics Letters, 2005, 87(18):183506-183509.
[5] NYUGEN Q, TONG L. Shape control of smart composite plate with non-rectangular piezoelectric actuators[J]. Composite Structures, 2004, 66:207-214.
[6] 赵国忠, 翟景娟, 张冠锋, 等. 基于压电曲壳单元的结构振动最优控制[J]. 计算力学学报, 2015(5):601-607. ZHAO GuoZhong, ZHAI Jingjuan, ZHANG Guanfeng, et al. Optimal control of structural vibrational using piezoelectric curved shell elements[J]. Chinese Journal of Computational Mechanics, 2015(5):601-607.
[7] WILLIAMS R B, GRIMSLEY B W, INMAN D J, et al. Manufacturing and mechanics-based characterization of macro fiber composite actuators[C]//Proceedings of the ASME 2002 International Mechanical Engineering Congress and Exposition. Adaptive Structures and Materials Systems. November 17-22, 2002,New Orleans, Louisiana, USA. ASME,2002:79-89.
[8] WILKIE A W K, BRYANT R G, HIGH J W, et al. Low-cost piezocomposite actuator for structural control applications[J]. Proceedings of SPIE-The International Society for Optical Engineering, 2000, 3991:323-334.
[9] CHEN W, LI L, MA X. A modified couple stress model for bending analysis of composite laminated beams with first order shear deformation[J]. Composite Structures, 2011, 93(11):2723-2732.
[10] 薛婷, 秦现生, 张顺琦, 等. 基于一阶剪切变形理论的CNTRC板的自由振动分析[J]. 机械工程学报, 2019, 55(24):45-50. XUE Ting, QIN Xiansheng, ZHANG Shunqi, et al. Free vibration analysis of CNTRC plates based on first-order shear deformation theory[J]. Journal of Mechanical Engineering, 2019, 55(24):45-50.
[11] WUITE J, ADALI S. Deflection and stress behaviour of nanocomposite reinforced beams using a multiscale analysis[J]. Composite Structures, 2005, 71(3-4):388-396.
[12] SHEN H S. Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments[J]. Composite Structures, 2009, 91(1):9-19.
[13] KIANI Y. Free vibration of functionally graded carbon nanotube reinforced composite plates integrated with piezoelectric layers[J]. Computers & Mathematics with Applications, 2016, 142:45-56.
[14] ZHANG S Q, LI Y X, SCHMIDT R. Modeling and simulation of macro-fiber composite layered smart structures[J]. Composite Structures 2015, 126:89-100.
[15] BILGEN O, ERTURK A, INMAN D J. Analytical and experimental characterization of macro-fiber composite actuated thin clamped-free unimorph benders[J]. Journal of Vibration and Acoustics 2010, 132(5):051005.1-051005.6.
[16] MOHAMED A, CHARLES H. Nonlinear finite element analysis of a rotating MFC actuator[C]//51st AIAA/ASM E/ASCE/AH S/ASC structures, structural dynamics, and materials conference. Orlando, Florida. April 12-15, 2010:2514-2547.
[17] ZHANG S Q, WANG Z X, QIN X S, et al. Geometrically nonlinear analysis of composite laminated structures with multiple macro-fiber composite (MFC) actuators[J]. Composite Structures, 2016, 150:62-72.
[18] LIEW K M, HE X Q, NG T Y, et al. Finite element piezo thermoelasticity analysis and the active control of FGM plates with integrated piezoelectric sensors and actuators[J]. Computational Mechanics, 2003, 38(9):1641-1655.
[19] ZHANG S Q, SCHMIDT R. Large rotation theory for static analysis of composite and piezoelectric laminated thin-walled structures[J]. Thin-Walled Structures 2014, 78:16-25.
[20] PARK J S, KIM J H. Analytical development of single crystal macro fiber composite actuators for active twist rotor blades[J]. Smart Materials and Structures. 2005, 14:745-753.

[21] DERAEMAEKER A, NASSER H, BENJEDDOU A, et al. Mixing rules for the piezoelectric properties of macro fiber composites[J]. Journal of Intelligent Material Systems and Structures, 2009, 20(12):1475-1482.
[22] BISCANI F, NASSER H, BELOUETTAR S, et al. Equivalent electro-elastic properties of macro fiber composite (MFC) transducers using asymptotic expansion approach[J]. Composites Part B:Engineering, 2011,42:444-455.
[23] BOWEN C, GIDDINGS P, SALO A, et al. Modeling and characterization of piezoelectrically actuated bistable composites[J]. IEEE Transactions on Ultrasonics Ferroelectrics & Frequency Control, 2011, 58(9):1737-1750.

CNT梯度增强纤维压电复合板壳几何非线性建模与分析

Geometrically Nonlinear Modeling and Analysis of Functionally Graded Carbon Nanotube-reinforced Composite Rectangular Plate Shells with MFCs

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 11

编辑推荐

Metrics

本文评价

[1]	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.
[2]	杨淼, 杜志江, 陈依, 孙立宁, 董为. 变截面交叉簧片柔性铰链的力学建模与变形特性分析[J]. 机械工程学报, 2018, 54(13): 73-78.
[3]	孔玲, 刘才溢, 彭艳. 非均匀温度场下变梯度特性热成形技术研究[J]. 机械工程学报, 2017, 53(8): 75-81.
[4]	彭艳, 刘才溢, 郝露菡, 邢鹏达. 性能梯度分布热成形技术研究进展[J]. 机械工程学报, 2016, 52(8): 67-75.
[5]	王刚, 齐朝晖, 王欣. 履带式起重机折线式臂架结构承载能力[J]. 机械工程学报, 2015, 51(3): 111-120.
[6]	黎亮;章定国;洪嘉振. 中心刚体-功能梯度材料梁系统的动力学特性研究[J]. , 2013, 49(13): 77-84.
[7]	罗阳军;亢战;吴子燕. 考虑不确定性的柔性机构拓扑优化设计[J]. , 2011, 47(1): 1-7.
[8]	贾建援;赵剑;王洪喜. 大挠度后屈曲倾斜梁结构的非线性力学特性[J]. , 2009, 45(2): 138-143.
[9]	李兆坤;张宪民. 多输入多输出柔顺机构几何非线性拓扑优化[J]. , 2009, 45(1): 180-188.
[10]	孙立宁;董为;杜志江. 基于几何非线性方法的大行程柔性并联机器人位置解[J]. , 2005, 41(10): 71-74.
[11]	谢先海;廖道训. 基于多刚体离散元模型的柔顺机构动力分析新方法[J]. , 2003, 39(5): 10-15.