Measuring Co-Axial Hole Size of Finite-Size Metallic Disk Based on a Dual-Constraint Integration Feature Using Multi-Frequency Eddy Current Testing
Measuring Co-Axial Hole Size of Finite-Size Metallic Disk Based on a Dual-Constraint Integration Feature Using Multi-Frequency Eddy Current Testing
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DOI：
10.20944/preprints202009.0601.v1
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发表时间：
2020
期刊：
影响因子：
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通讯作者：
Ruochen Huang;Mingyang Lu;Xiaohong He;A. Peyton;W. Yin
中科院分区：
文献类型：
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作者：
Ruochen Huang;Mingyang Lu;Xiaohong He;A. Peyton;W. Yin
本文提出了一种用涡流法测量金属圆盘同轴孔尺寸的新方法。近几十年来，对于空心传感器探头，由于无限大金属板的存在而引起的阻抗变化可以通过Dodd-Deeds模型来计算。然而，在实际测量中，样品不能满足“无限”的条件，因此Dodd-Deeds模型不能适用于有限尺寸的圆盘，更不能适用于中心有同轴孔的圆盘。本文提出了一种双约束分析方法。也就是说，积分的上限和下限被特定值代替，而不是原始的0和∞。此外，还发现，当圆盘外半径一定（即积分下限一定）时，积分上限随同轴孔尺寸的增大而线性减小。通过有限元仿真和实验验证了该方法的有效性。基于双约束集成特征可以估计孔的半径。
This paper presents a new approach of eddy current methods for determining the size of the co-axial hole in the metallic circular disk. In recent decades, for the air-cored sensor probe, the impedance change due to the presence of an infinite metal plate can be calculated by the Dodd-Deeds model. However, in practical measurements, the sample cannot match with the condition required ‘infinite’, thus the Dodd-Deeds model could not be applied to the disk with finite size and certainly not a co-axial hole in the center. In this paper, a dual-constraint analytical method is proposed. That is, the upper and lower limits of the integration are substituted with specific values instead of the original 0 and ∞. Besides, it is found that, once the outer radius of the disk is fixed (i.e. the lower limit of integration is fixed), the upper limit reduces linearly as the size of the coaxial hole increases. Both the FEM simulation and experiments have been carried out to validate this method. The radius of the hole can be estimated based on the dualconstraint integration feature.