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Passive electromagnetic NED for mechanical damage inspection by detecting leakage magnetic flux, 1; Reconstruction of magnetic charges from detected field signals

自然磁束漏洩の計測による材料損傷の非破壊検査法に関する研究,1; 報磁束漏洩データから材料における磁荷分布の再構成

陳 振茂; 青砥 紀身; 加藤 章一

not registered; Aoto, Kazumi; not registered

本報告書では、自然磁束漏洩からき裂・損傷を非破壊的に検査する研究の一環として、測定した磁束信号より材料における磁荷分布(損傷による)の再構成を行った。この代表的な非適切問題には最小自乗法に基づいた反復計算アルゴリズムを用いた。問題を適切化するために初期値、重み係数及び反復計算の回数の選び方を検討した。シミュレーション信号を用いた再構成結果より、本手法がノイズの少ない信号に対して有効であることを確認した。ノイズに対するロバースト性を向上するために、ウェーブレットをガラキン法に適用した手法をシステム方程式の離散化に導入した。最小自乗法と比較した結果、ウェーブレットを用いた手法はS/N比の低い信号に対しても有効であることが判った。本報告書では最小自乗法に基づいた手法を1次元及び2次元の磁荷分布、ウェーブレットを用いた手法を1次元の磁荷の再構成に適用し、提案した手法の妥当性を実証した。

In this report, reconstruction of magnetic charges induced by mechanical damages in a test piece of SUS304 stainless steel is performed as a part of eforts to establish a passive nondestructive testing method on the basis of the inspection of leakage magnetic field. The approach for solving this typical ill-posed inverse problem is selected as a way in the least square method category. Concerning the ill-poseness of the system of equations, an iteration algorithm is adopted to its solving in which the designations of initial profile, the weight coefficients and the total number of iterations are taken as means of reqularization. From examples using simulated input data, it is verified that the approach gives good reconstruction results in case of signals with a relative high S/N ratio. For improving the robustness of the proposed method, a Galerkin procedure with base functions chosen as the Daubechies' wavelet is also introduced for discretizing the governing equation. By comparing the reconstruction results of the least square method and those using wavelet discretization, it is found that the wavelet used approach is more feasible in the inversion of noise polluted signals. Reconstruction of 1-D and 2-D magnetic charges with the least square strategy and reconstruction of an 1-D problem with the wavelet used method are carried out from both simulated and measured magnetic field signals which are used as the validation of the proposed inversion strategy.

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