留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

GFRP补片内SMA铺设构型对修理层合板热振动特性的影响

崔开心 谢昊航 任鹏 卢翔

崔开心, 谢昊航, 任鹏, 等. GFRP补片内SMA铺设构型对修理层合板热振动特性的影响[J]. 复合材料学报, 2024, 41(5): 2487-2502. doi: 10.13801/j.cnki.fhclxb.20231017.002
引用本文: 崔开心, 谢昊航, 任鹏, 等. GFRP补片内SMA铺设构型对修理层合板热振动特性的影响[J]. 复合材料学报, 2024, 41(5): 2487-2502. doi: 10.13801/j.cnki.fhclxb.20231017.002
CUI Kaixin, XIE Haohang, REN Peng, et al. Effect of SMA laying configuration in GFRP patch on thermal vibration characteristics of repair laminate[J]. Acta Materiae Compositae Sinica, 2024, 41(5): 2487-2502. doi: 10.13801/j.cnki.fhclxb.20231017.002
Citation: CUI Kaixin, XIE Haohang, REN Peng, et al. Effect of SMA laying configuration in GFRP patch on thermal vibration characteristics of repair laminate[J]. Acta Materiae Compositae Sinica, 2024, 41(5): 2487-2502. doi: 10.13801/j.cnki.fhclxb.20231017.002

GFRP补片内SMA铺设构型对修理层合板热振动特性的影响

doi: 10.13801/j.cnki.fhclxb.20231017.002
基金项目: 国家自然科学基金-民用飞机持续安全性分析技术研究(U2033209);天津市研究生科研创新项目-一般专项(2022SKY158);中央高校-自然科学重点项目(XJ2023001601)
详细信息
    通讯作者:

    卢翔,博士,教授,硕士生导师,研究方向为民机复合材料结构损伤与修理 E-mail: xlu@cauc.edu.cn

  • 中图分类号: TB332

Effect of SMA laying configuration in GFRP patch on thermal vibration characteristics of repair laminate

Funds: National Natural Science Foundation of China-Research on Continuous Safety Analysis Technology of Civil Air Craft (U2033209); Tianjin Postgraduate Research and Innovation Program-General Specialty (2022SKY158); Central University-Key Projects in Natural Sciences (XJ2023001601)
  • 摘要: 在复合材料中加入形状记忆合金(SMA)制成的纤维增强材料具有高强度、高阻尼与良好的自修复性等优点,可明显提高修理结构刚度及抗剥离性。为了探究热环境下玻璃纤维补片内嵌不同铺设数量与方式的SMA修理板的振动特性,基于Liang-Rogers的SMA本构模型编制用户自定义材料子程序(UMAT),实现有限元精确求解。对比传统修理板与本文制备的SMA修理板的振型、固有频率及阻尼比变化情况,探究不同温度下SMA铺设构型对双面贴补修理玻璃纤维层合板振动特性的影响。实验与仿真结果表明:相较于单线型(D)与垂直交叉型(C),斜铺交叉型(X) SMA修理板前三阶振型更接近传统修理板(Q0),且振型与嵌入的SMA数量无关。SMA相变时,内嵌SMA使修理板前二阶固有频率上升且上升率与SMA数量呈正相关,与SMA铺设方式关系如下:C型>D型>X型。内嵌SMA使修理板耗能能力及阻尼性优于Q0板,与SMA数量呈正相关,与SMA铺设方式关系如下:X型>C型>D型。本文研究的铺设构型中,X24型修理效果最优,其一、二阶固有频率最高可恢复至Q0板的108.47%与112.26%,阻尼比相较于Q0板增大了5.19倍。该工作可以为现有传统复合材料修理向智能复合材料修理技术转变提供参考。

     

  • 图  1  MTS Landmark伺服测试系统对形状记忆合金(SMA)进行拉伸实验

    DC—Direct current

    Figure  1.  MTS Landmark servo test system performs shape memory alloy (SMA) tensile experiments

    图  2  SMA纤维超弹性和形状记忆效应的应力-应变曲线

    Figure  2.  Stress-strain curves for SMA fiber hyper elasticity and shape memory effects

    图  3  含SMA补片双面贴补修理玻璃纤维层合板

    Figure  3.  Fiberglass laminate with SMA patch double-sided patch repair

    图  4  预浸料补片中内嵌SMA纤维的模具

    Figure  4.  Mold embedded with SMA fiber in prepreg patch

    图  5  热补仪固化修理板

    Figure  5.  Solidification repair plate of heat repair instrument

    图  6  贴补修理试样

    Figure  6.  Repair specimen

    图  7  常温状态下(25℃) ((a)~(c))和高温状态下(100℃) ((d)~(f))玻璃纤维层合板的微观组织形貌

    Figure  7.  Microstructure morphology of glass fiber laminate at room temperature (25℃) ((a)-(c)) and at high temperature (100℃) ((d)-(f))

    图  8  模态测试装置连接示意图

    FFT—Fast fourier transform

    Figure  8.  Schematic diagram of modal test device connection

    图  9  修理板频响及相干函数

    Figure  9.  Repair laminate frequency response and coherence function

    图  10  补片内嵌SMA纤维双面贴补修理损伤层合板分体图

    Figure  10.  Split diagram of SMA fiber embedded in the patch double-sided patch repair of damaged laminate

    图  11  修理层合板的网格模型

    Figure  11.  Mesh model of repairing laminates

    图  12  修理板的实验解与有限元数值解对比

    Figure  12.  Comparison of experimental solutions and finite element numerical solutions of repair plates

    图  13  不同铺设数量的SMA纤维修理损伤板的前三阶振型

    Figure  13.  First three-order mode shape of the SMA fiber repair damaged plate with different laying quantities

    图  14  不同铺设方式的SMA纤维修理损伤板前三阶振型

    Figure  14.  First three-order mode shape diagram of SMA fiber repair damage plate with different laying methods

    图  15  不同铺设方式的SMA纤维修理损伤板第一阶固有频率

    FEM—Finite element method; As—Temperature at which the austenite phase transition begins; Af—Temperature at which the austenite phase transition ends

    Figure  15.  First-order natural frequencies of SMA fiber repair damage plate with different laying methods

    图  16  不同铺设方式的SMA纤维修理损伤板第二阶固有频率

    Figure  16.  Second-order natural frequency of SMA fiber repair damage plate with different laying methods

    图  17  不同铺设数量的SMA纤维修理损伤板第一阶固有频率

    Figure  17.  First-order natural frequencies of the SMA fiber repair damaged plate with different laying quantities

    图  18  不同铺设数量的SMA纤维修理损伤板第二阶固有频率

    Figure  18.  Second-order natural frequency of the SMA fiber repair damaged plate with different laying quantities

    图  19  不同铺设方式的SMA纤维修理损伤板前四阶阻尼比

    Figure  19.  First four-order damping ratio of SMA fiber repair damage plate with different laying methods

    图  20  不同铺设数量的SMA纤维修理损伤板前四阶阻尼比

    Figure  20.  First four-order damping ratio of the SMA fiber repair damaged plate with different laying quantities

    表  1  SMA纤维性能参数

    Table  1.   SMA fiber performance parameters

    Property Value
    Modulus of elasticity of martensite EM/GPa 21.36
    Modulus of elasticity of austenitic EA/GPa 38.47
    Modulus of martensite thermoelasticity ΘM/(MPa·℃−1) 0.102
    Austenitic thermoelastic modulus ΘA/(MPa·℃−1) 0.567
    Martensitic phase transition start temperature Ms/℃ 34.3
    Martensite phase transition end temperature Mf/℃ 26.1
    Austenite phase transition start temperature As/℃ 57.3
    Austenite phase transition end temperature Af/℃ 74.1
    Martensite critical phase change stress coefficient $ C\mathrm{_M} $/(MPa·℃−1) 10.81
    Austenite critical phase change stress coefficient $ C\mathrm{_A} $/(MPa·℃−1) 6.228
    Critical phase transition begins stress $ \sigma_{\mathrm{s}}^{\text{cr}} $/MPa 73.21
    Critical phase transition end stress $ \sigma_{\mathrm{f}}^{\text{cr}} $/MPa 87.63
    Coefficient of thermal expansion of austenite $ \alpha\mathrm{_A} $/(10−6−1)[5] 10.26
    Coefficient of thermal expansion of martensite $ \alpha_{\mathrm{M}} $/(10−6−1)[5] 6.60
    Poisson's ratio $ \upsilon\mathrm{_S} $[5] 0.33
    Density ρ/(kg·m−3)[5] 6450
    Maximum residual strain $ \varepsilon\mathrm{\mathrm{\mathrm{\mathrm{_L}}}} $/% 7.0
    Note:Data are from reference [5] and manufacturer.
    下载: 导出CSV

    表  2  Hansort 8313预浸料的性能参数

    Table  2.   Performance parameters of Hansort 8313 prepreg

    Elastic modulus
    E12, E23, E31/GPa
    Shear modulus
    G12, G23, G31/GPa
    Poisson's ratio
    μ12, μ23, μ31
    Density
    ρ/(kg·m−3)
    Coefficient of thermal Humidity expansion
    α1 α2 β1 β2
    15.4 4.47 0.43 1660 −0.3×10−6 28.1×10−6 0 0.44
    下载: 导出CSV

    表  3  SMA纤维铺设参数及修理板分组编号

    Table  3.   SMA fiber laying parameters and repair plate group number

    No. SMA fiber laying method Number of SMA fibers laid/root Fiber spacing/mm
    D6 Single-lined (D) 6 16.67
    D12 12 8.33
    D24 24 4.17
    C6 Vertically crossed type (C) 6 23.57
    C12 12 11.79
    C24 24 5.89
    X6 Diagonal cross type (X) 6 23.57
    X12 12 11.79
    X24 24 5.89
    Q0 Traditional patching 0
    下载: 导出CSV
  • [1] 孔方昀, 常孟周, 王振清, 等. 形状记忆合金-玻璃纤维/环氧树脂复合材料在振动边界条件下的低速冲击数值模拟[J]. 复合材料学报, 2019, 36(10): 2316-2329. doi: 10.13801/j.cnki.fhclxb.20181119.006

    KONG Fangyun, CHANG Mengzhou, WANG Zhenqing, et al. Numerical simulation of low-velocity shock of shape memory alloy-glass fiber/epoxy resin composites under vibration boundary conditions[J]. Acta Materiae Compositae Sinica, 2019, 36(10): 2316-2329(in Chinese). doi: 10.13801/j.cnki.fhclxb.20181119.006
    [2] 陈邵杰. 复合材料结构修理指南[M]. 北京: 航空工业出版社, 2001: 42-43.

    CHEN Shaojie. Repair guide of composite structure[M]. Beijing: Aviation Industry Press, 2001: 42-43(in Chinese).
    [3] ZHOU W, JI X, YANG S, et al. Review on the performance improvements and non-destructive testing of patches repaired composites[J]. Composite Structures, 2021, 263: 113659. doi: 10.1016/j.compstruct.2021.113659
    [4] 刘兵飞, 刘亚冬, 张亚楠. 形状记忆合金在复合材料损伤修复中的应用[J]. 复合材料学报, 2022, 39(4): 1834-1846. doi: 10.13801/j.cnki.fhclxb.20210608.004

    LIU Bingfei, LIU Yadong, ZHANG Yanan. Application of shape memory alloy in damage repair of composite materials[J]. Acta Materiae Compositae Sinica, 2022, 39(4): 1834-1846(in Chinese). doi: 10.13801/j.cnki.fhclxb.20210608.004
    [5] NASSHO Y, SANADA K. Microstructure optimizations for improving interlaminar shear strength and self-healing efficiency of spread carbon fiber/epoxy laminates containing microcapsules[J]. Journal of Composite Materials, 2021, 55(1): 27-38. doi: 10.1177/0021998320943941
    [6] KAMARIAN S, SONG J. A comparative study on the effect of SMAs and CNTs on the vibration of composite plates exposed to thermal environments[J]. Case Studies in Thermal Engineering, 2022, 36: 102121. doi: 10.1016/j.csite.2022.102121
    [7] NEKOUEI M, RAGHEBI M, MOHAMMADI M. Free vibration analysis of hybrid laminated composite cylindrical shells reinforced with shape memory alloy fibers[J]. Journal of Vibration and Control, 2020, 26(7-8): 610-626. doi: 10.1177/1077546319889857
    [8] VERMA L, ANDREW J J, SIVAKUMAR S M, et al. Compression after high-velocity impact behavior of pseudo-elastic shape memory alloy embedded glass/epoxy composite laminates[J]. Composite Structures, 2021, 259: 113519. doi: 10.1016/j.compstruct.2020.113519
    [9] ROGERS C, LIANG C, JIA J. Behavior of shape memory alloy reinforced composite plates. I-Model formulations and control concepts[C]//30th Structures, Structural Dynamics and Materials Conference. Alabama, 1989: 1389.
    [10] PARHI A, SINGH B N. Nonlinear free vibration analysis of shape memory alloy embedded laminated composite shell panel[J]. Mechanics of Advanced Materials and Structures, 2017, 24(9): 713-724. doi: 10.1080/15376494.2016.1196777
    [11] SHIAU L C, KUO S Y, CHANG S Y. Free vibration of buckled SMA reinforced composite laminates[J]. Composite Structures, 2011, 93(11): 2678-2684. doi: 10.1016/j.compstruct.2011.06.008
    [12] NEKOUEI M, RAGHEBI M, MOHAMMADI M. Free vibration analysis of laminated composite conical shells reinforced with shape memory alloy fibers[J]. Acta Mechanica, 2019, 230: 4235-4255. doi: 10.1007/s00707-019-02501-z
    [13] MALEKZADEH K, MOZAFARI A, GHASEMI F A. Free vibration response of a multilayer smart hybrid composite plate with embedded SMA wires[J]. Latin American Journal of Solids and Structures, 2014, 11: 279-298. doi: 10.1590/S1679-78252014000200008
    [14] MAHABADI R K, SHAKERI M, PAZHOOH M D. Free vibration of laminated composite plate with shape memory alloy fibers[J]. Latin American Journal of Solids and Structures, 2016, 13: 314-330. doi: 10.1590/1679-78252162
    [15] KARIMIASL M, EBRAHIMI F, AKGOZ B. Buckling and post-buckling responses of smart doubly curved composite shallow shells embedded in SMA fiber under hygro-thermal loading[J]. Composite Structures, 2019, 223: 110988. doi: 10.1016/j.compstruct.2019.110988
    [16] LI W, STACHIV I. Computational modeling and parametric analysis of SMA hybrid composite plates under thermal environment[J]. Sensors, 2023, 23(3): 1344. doi: 10.3390/s23031344
    [17] TANAKA K. Thermomechanical sketch of shape memory effect: One-dimensional tensile behavior[J]. Res Mechanica, 1986, 18(3): 251-263.

    TANAKA K. Thermomechanical sketch of shape memory effect: One-dimensional tensile behavior[J]. Res Mechanica, 1986, 18(3): 251-263.
    [18] LIANG C, ROGERS C A. One-dimensional thermomechanical constitutive relations for shape memory materials[J]. Journal of Intelligent Material Systems and Structures, 1990, 1(2): 207-234.
    [19] American Society for Testing and Materials. Standard test method for tension testing of nickel-titanium superelastic materials: ASTM F2516-07e2[S]. West Conshohocken: ASTM International, 2007.
    [20] KIM Y J, JEONG J W, LIM J H, et al. An enhanced Brinson model with modified kinetics for martensite transformation[J]. Journal of Mechanical Science and Technology, 2017, 31: 1157-1167. doi: 10.1007/s12206-017-0214-1
    [21] SONG J J, CHEN Q, NAGUIB H E. Constitutive modeling and experimental validation of the thermo-mechanical response of a shape memory composite containing shape memory alloy fibers and shape memory polymer matrix[J]. Journal of Intelligent Material Systems and Structures, 2016, 27(5): 625-641. doi: 10.1177/1045389X15575086
    [22] KARIMI M R, DANESH P M, SHAKERI M. On the free vibration and design optimization of a shape memory alloy hybrid laminated composite plate[J]. Acta Mechanica, 2021, 232: 323-343. doi: 10.1007/s00707-020-02824-2
    [23] American Society for Testing and Materials. Standard test method for moisture absorption properties and equilibrium conditioning of polymer matrix composite materials: ASTM D5229/D5229M—20[S]. West Conshohocken: ASTM International, 2020.
    [24] 谢军伟, 刘维国, 詹国宁. 复合材料开孔层合板有限元网格划分方法研究[J]. 机械设计与制造, 2020, 49(4): 228-231. doi: 10.19356/j.cnki.1001-3997.2013.04.072

    XIE Junwei, LIU Weiguo, ZHAN Guoning. Study on finite element meshing method of composite open-cell laminate[J]. Mechanical Design and Manufacturing, 2020, 49(4): 228-231(in Chinese). doi: 10.19356/j.cnki.1001-3997.2013.04.072
    [25] 万小朋, 李小聪, 鲍凯, 等. 利用振型变化进行结构损伤诊断的研究[J]. 航空学报, 2003, 24(5): 422-426.

    WAN Xiaopeng, LI Xiaocong, BAO Kai, et al. Research on structural damage diagnosis using mode shape change[J]. Journal of Aeronautics, 2003, 24(5): 422-426(in Chinese).
    [26] 胡成宝, 王云岗, 凌道盛. 瑞利阻尼物理本质及参数对动力响应的影响[J]. 浙江大学学报, 2017, 51(7): 1284-1290.

    HU Chengbao, WANG Yungang, LING Daosheng. Influence of physical nature and parameters of Rayleigh damping on dynamic response[J]. Journal of Zhejiang University, 2017, 51(7): 1284-1290(in Chinese).
    [27] 张景业. 超弹性形状记忆合金混杂复合材料振动特性研究[D]. 哈尔滨: 哈尔滨工业大学, 2016.

    ZHANG Jingye. Study on vibration characteristics of superelastic shape memory alloy hybrid composites[D]. Harbin: Harbin Institute of Technology, 2016(in Chinese).
    [28] 杨海如. 基于材料与结构阻尼的CFRP筏架阻尼性能研究[D]. 武汉: 武汉理工大学, 2021.

    YANG Hairu. Study on damping performance of CFRP raft frame based on material and structural damping[D]. Wuhan: Wuhan University of Technology, 2021(in Chinese).
  • 加载中
图(20) / 表(3)
计量
  • 文章访问数:  305
  • HTML全文浏览量:  212
  • PDF下载量:  8
  • 被引次数: 0
出版历程
  • 收稿日期:  2023-07-19
  • 修回日期:  2023-10-08
  • 录用日期:  2023-10-12
  • 网络出版日期:  2023-10-18
  • 刊出日期:  2024-05-01

目录

    /

    返回文章
    返回