平纹编织碳纤维增强树脂复合材料离散电导率建模方法

张荣华; 史可宇; 李硕; 张一帆

doi:10.13801/j.cnki.fhclxb.20200327.001

平纹编织碳纤维增强树脂复合材料离散电导率建模方法

doi: 10.13801/j.cnki.fhclxb.20200327.001

张荣华^1, ,,
史可宇^2,,
李硕^2,,
张一帆³

1.
天津工业大学　人工智能学院，天津 300387
2.
天津工业大学　电气工程及自动化学院，天津 300387
3.
天津工业大学　复合材料研究所先进纺织复合材料教育部重点实验室，天津 300387

基金项目: 国家自然科学基金(61872269)

详细信息

通讯作者:
张荣华，博士，副教授，硕士生导师，研究方向为电磁涡流无损检测及其相关理论　E-mail：rh_zhang_2005@163.com

中图分类号: TH701
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- 被引次数: 0
出版历程
- 收稿日期: 2020-02-04
- 录用日期: 2020-03-16
- 网络出版日期: 2020-03-27
- 刊出日期: 2020-12-15

Discrete conductivity modeling method for plain weave carbon fiber reinforced resin composites

ZHANG Ronghua^{1
, ,},
SHI Keyu^2
,,
LI Shuo^2
,,
ZHANG Yifan³

1.
School of Artificial Intelligence, Tiangong University, Tianjin 300387, China
2.
School of Electrical Engineering and Automation, Tiangong University, Tianjin 300387, China
3.
Ministry of Education Key Laboratory of Advanced Textile Composite Materials, Institute of Textile Composites, Tiangong University, Tianjin 300387, China

摘要

摘要: 编织碳纤维增强树脂复合材料(CFRP)的电阻抗分布具有各向异性、异质性、几何结构复杂等特点。建立电阻抗分布模型是利用电磁涡流无损检测技术获取编织CFRP缺陷及疲劳损伤信息的关键关节。基于电阻抗张量建模理论，采用多层编织结构CFRP二维平面的分块均化电学特性表征方法，建立编织结构CFRP的简化电阻抗分布模型，从而实现编织结构CFRP电磁特性的精确、快速有限元分析。在有限元仿真基础上，通过设计双空气旋转线圈电磁传感器对平纹编织CFRP进行电磁无损检测，选用阻抗的极坐标图描述被测材料沿不同方向的阻抗变化趋势，通过实验验证有限元建模的正确性。最后利用所提出的建模方法模拟了双空气旋转线圈传感器对平纹编织CFRP的结构缺陷及循环载荷疲劳的检测效果。
- 涡流检测 /
- 有限元法 /
- 平纹编织 /
- CFRP /
- 缺陷检测
Abstract: The electrical impedance distribution of carbon fiber reinforced resin composites (CFRP) with weaving technology has the characteristics of anisotropy, heterogeneity and complex geometric structure. Establishing the electrical impedance distribution model is the key joint to obtain the defect and fatigue damage information of CFRP in the braiding process by using electromagnetic eddy current nondestructive testing technology. Based on the theory of electrical impedance tensor modeling, the method of characterizing the electrical characteristics of the multi-layer braided structure CFRP two-dimensional plane was established, and a simplified electrical impedance distribution model of the braided CFRP was established, thereby realizing the accurate and fast finite element analysis of the electromagnetic properties of the braided CFRP. Based on the finite element simulation, the electromagnetic nondestructive testing of plain weave CFRP was designed by designing a dual-air rotating coil electromagnetic sensor. The polar coordinate chart of the impedance was used to describe the impedance change trend of the measured material in different directions. The correctness of the finite element modeling was proved by experiment. Finally, the proposed modeling method was used to simulate the detection effect of the double air rotating coil sensor on the structural defects and cyclic load fatigue of the plain weave CFRP.
- eddy current testing /
- finite element method /
- plain weave /
- CFRP /
- defect detection

HTML全文

图 1 平纹编织碳纤维增强树脂复合材料(CFPR)离散化电导率模型

Figure 1. Plain weave carbon fiber reinforced polymer (CFPR)discretization conductivity model

下载: 全尺寸图片幻灯片

图 2 平纹编织CFRP涡流检测系统的仿真模型

Figure 2. Simulation model of plain weave CFRP eddy current detection system

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图 3 双线圈传感器产生的涡流分布

Figure 3. Distribution of the eddy currents created by the double-coils-rotatable sensor

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图 4 双线圈旋转传感器不同旋转角的平纹编织CFRP归一化阻抗变化实部极坐标的仿真结果

Figure 4. Simulation results of normalized impedance change of plain weave CFRP with different rotation angles of double-coils-rotatable sensor

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图 5 平纹编织CFRP涡流检测实验系统

Figure 5. Eddy current detection experiment system for plain weave CFRP

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图 6 传感器的相-频响应曲线

Figure 6. Phase-frequency curve of the sensor

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图 7 使用双圆旋转线圈检测平纹编织CFRP的阻抗特性实验和仿真极坐标图对比

Figure 7. Comparison of experimental and simulated polar coordinate diagrams of impedance characteristics of plain woven CFRP using double-coils-rotatable coils

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图 8 含缺陷平纹编织CFRP试样

Figure 8. Plain weave CFRP specimen with defect

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图 9 使用双圆旋转线圈检测的含表面裂纹（长为10 mm）的平纹编织CFRP的归一化阻抗变化实验和仿真结果

Figure 9. Experimental and simulation results of normalized impedance variation of plain weave CFRP with surface cracks (10 mm length) detected by double-coils-rotatable coils

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图 10 含表面裂纹的平纹编织CFRP使用双圆旋转线圈检测的仿真模型

Figure 10. Simulation model of plain weave CFRP with surface cracks using double-coils-rotatable coils detection

下载: 全尺寸图片幻灯片

图 11 使用双圆旋转线圈检测的含不同长度表面裂纹的平纹编织CFRP的归一化阻抗变化仿真结果

Figure 11. Simulation results of normalized impedance variation of plain weave CFRP with different lengths surface cracks detected by double-coils-rotatable coils

下载: 全尺寸图片幻灯片

图 12 使用双圆旋转线圈检测的含不同长度表面裂纹的平纹编织CFRP的归一化阻抗变化实验结果

Figure 12. Experimental results of normalized impedance variation of plain weave CFRP with different lengths surface cracks detected by double-coils-rotatable coils

下载: 全尺寸图片幻灯片

图 13 使用双圆旋转线圈检测的平纹编织CFRP拉-拉疲劳的仿真结果

Figure 13. Simulation results of pull-pull fatigue of plain-weave CFRP detected by double-coils-rotatable coils

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表 1 平纹编织CFRP涡流检测系统的几何和物理参数

Table 1. Geometric and physical parameters of plain weave CFRP eddy current detection system

Coil	Parameter
Number of turns	150
Inner radius/mm	10
Outer radius/mm	12
Coil spacing d/mm	13.5
Current intensity ${I_{{\rm{source}}}}$/A	0.02
Frequency/MHz	1
Lift-off/mm	0.5
Angular step of the rotation α/(°)	22.5
Warp yarn conductivity/(S·m^–1)	(10 000, 10, 0)
Weft yarn conductivity/(S·m^–1)	(10, 10 000, 0)

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