渦電流檢測法是目前被廣泛使用的一種非破壞檢測法，其利用電磁感應的原理，激磁線圈的磁場受到檢測金屬管壁中渦電流磁場的影響，使得線圈的阻抗產生變化。藉由觀察在阻抗平面訊號圖上的改變及其相位角的情形，即可了解各種缺陷型態及檢測因素的影響。
本文目的在以有限元素法分析三維空間中的各種缺陷型態對渦電流檢測結果的影響。首先以有限元素分析軟體COMSOL Multiphysics建立完整的三維電磁模型求解，再以Matlab軟體進行後處理計算所欲觀察之輸出，繪製線圈阻抗在阻抗平面訊號圖之變化及其深度-角度評估曲線，以觀察三維非軸對稱缺陷之檢測結果對阻抗及相位角的影響，將其列入考慮以期降低檢測誤差。
經由有限元素法模擬得到各缺陷型態及檢測因素對渦電流檢測法的影響結果，可以提供更多數據與實驗結果交叉比對，以利在評估金屬管損傷情形時之精準度，減少誤判情形之發生。

Eddy current testing is a widely-used examination of the nondestructive testing method. According to the theory of electromagnetic induction, the coil impendence varies with the interaction between the coil magnetic field and the eddy current magnetic field. By observing the variations of the phase angle and the impendence plane diagram, the influence of different defects and factors are evidently presented.
The purpose of this study is to analyze the three-dimensional defects of eddy current testing by means of the finite element method. To begin with, a complete 3-D electromagnetic model in eddy current testing by finite element software package COMSOL Multiphysic was created. Then the impendence plane diagram and evaluation curves are drawn by the mathematics software package MATLAB to show the variations of the impendence and the phase angle. Moreover, the results show the effect of reducing testing errors.
The simulation of 3-D defect model can provide more comparable data for experimentalists. So that the problem of inappropriate judgement can be prevented, and then the accuracy in eddy current testing can be enhanced.

頁數
目錄 Ⅰ
表目錄 III
圖目錄 IV
中文摘要 VI
英文摘要 VII
第一章 緒論 1
1.1 前言 1
1.2 研究動機與目的 2
1.3 文獻回顧 2
1.4 使用軟體簡介 5
1.4.1 COMSOL Multiphysics (v3.4) 5
1.4.2 Matlab 6
1.5 文章架構 6
第二章 理論基礎 7
2.1 渦電流檢測簡介 7
2.2 電磁理論 7
2.3 能量方程式與有限元素法 10
2.4 渦電流線圈阻抗方程式 12
2.5 深度-角度評估曲線跨角之經驗公式 13
第三章 渦電流有限元素模擬流程 15
3.1 有限元素模型之建立 15
3.1.1 渦電流模型之初始設定條件 15
3.1.2 三維分析模型之繪製 16
3.1.3 統御域與邊界條件之設定 17
3.1.4 模型網格化及求解 18
3.2 磁勢能與磁力線分布圖 18
3.3 阻抗平面訊號圖與深度-角度評估曲線 19
第四章 模擬結果之探討 26
4.1 固定參數比對之結果 26
4.1.1 阻抗平面訊號圖 26
4.1.2 深度-角度評估曲線 27
4.2 線圈檢測頻率 28
4.3 缺陷環繞角度 29
4.4 多缺陷相對位置 31
第五章 結論 51
5.1 結論 51
5.2 未來發展方向 52
參考文獻 54

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