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基于电磁波反射和折射理论的平底孔试件脉冲涡流检测解析模型

发布时间:2019-06-18 23:32
【摘要】:针对大多数脉冲涡流检测解析模型假设试件壁厚均匀减薄,其解析解中仅包含z方向(试件厚度)信息,不能求解探头覆盖区等依赖r方向(平行试件表面)信息的问题,本文提出平底孔试件脉冲涡流检测解析模型.该模型在z和r方向均存在介质分界面,边界条件复杂,求解困难.为此,本文首先假设平底孔所在层导体与空气区域的横向波数和纵向波数均相同,且横向波数为仅与r方向结构有关的实数,纵向波数为与该层横向波数和导体区域材料有关的复数,在此假设基础上应用电磁波反射和折射理论,构造各层波动方程;然后通过引入r方向结构系数W_n,将Cheng的矩阵法扩展,用扩展的矩阵法求解波动方程,得到模型的解析表达式.将该模型应用到16MnR平底孔试件检测实例中,并对其进行实验验证.模型计算结果与实验结果基本符合,证明了模型的正确性.平底孔试件脉冲涡流检测解析模型有助于加深对脉冲涡流检测结果的理解,同时能够为r方向逆问题求解提供理论依据.
[Abstract]:In order to solve the problem that most analytical models of pulse vortex testing assume that the wall thickness of specimens is uniformly thinned and only contains z direction (specimen thickness) information, and can not solve the problem that the coverage area of probe is dependent on r direction (parallel specimen surface), an analytical model for pulse vortex current testing of flat bottom hole specimens is proposed in this paper. The model has a dielectric interface in both z and r directions, and the boundary conditions are complex and difficult to solve. Therefore, in this paper, it is assumed that the transverse wavenumber and longitudinal wavenumber of the layer conductor and the air region are the same, and the transverse wavenumber is only the real number related to the r direction structure, and the longitudinal wavenumber is the complex number related to the transverse wavenumber of the layer and the material in the conductor region. On the basis of this hypothesis, the wave equations of each layer are constructed by using the theory of electromagnetic wave reflection and refraction. Then by introducing the r direction structure coefficient W 鈮,

本文编号:2501880

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