分治法在管道涡流检测阻抗解析中的应用

摘要

介绍了一种铁磁性管道涡流阻抗模型的数值解析方法。该方法利用阻抗模型中贝塞尔函数在大宗量(分治法产生的一个子区间)时的渐近性，在整个广义积分区间采用分治法简化积分函数，降低了对阻抗模型广义积分的计算难度。基于对计算量与计算准确度的折中，讨论了该解析方法中分治点的选择原则。将该方法的阻抗模型计算结果与通过物理检测设备测试实际管道的值进行比较，验证了分治法解阻抗模型的可行性。该方法对于解析柱坐标系下管道涡流检测阻抗模型的应用，具有简单、快速和高精度的优点。%This paper proposes a unique analytical method for eddy current impedance model of ferromagnetic pipe. Based on the asymptotic behavior of Bessel function in model under bulk quantity occasion, the method exploits the divide-and-conquer approach in the generalized integral interval to simplify model calculation. The calculation results of the model are compared with the results of practical pipe eddy current test, verifying the correctness and feasibility of calculation on the divide-and-conquer approach. The analytical method has the advantages of conciseness and high precision for impedance model applications under cylindrical coordinate systems.