臺灣博碩士論文加值系統

渦電流檢測是一種非破壞性檢測法，常用於檢驗碳鋼管束上的缺陷。利用激發線圈產生高頻電磁場，並量測線圈上的阻抗繪製阻抗平面圖，以阻抗平面上的角度來判斷缺陷的深度。而不同的管材與電磁性質也會影響檢測的結果。
本文研究目的在於利用有限元素分析軟體FEMLAB，建立二維軸對稱管束與檢測模型，並利用MATLAB繪製阻抗平面訊號與缺陷深度評估曲線，藉以判斷缺陷的深度。另外針對影響檢測結果的因素，分析阻抗平面與角度的變化情形，並且降低誤差的發生率。
經由本研究，部份影響檢測結果的因素，如：配合比、管壁厚度、導電率、檢測頻率等，已被分析歸納出來，希望為實際檢測提供一套判斷標準，更能精確判斷缺陷的深度，減低評估的誤差，增加檢測的準確度與可靠性。

Eddy current testing is a non-destructive testing method that has usually used for examination of carbon steel tubes. By using a high frequency electromagnetic field on the exciting probe, it is easy to figure out the impedance variation of the coil on impedance plane, and estimate the crack depth by measuring the angle of curve. However, different kind of tubes and electromagnetic properties resulted in different testing.
The purpose of this study is to create the two dimensional axial symmetry model of eddy current testing by finite element software package FEMLAB. And it is easy to estimate the crack depth by figuring the impedance plane and evaluation curves by MATLAB. Furthermore, the research analyzed the variation of curves and angles on an impedance plane and tried to reduce testing errors.
Over all, the analysis of some influence factors of eddy current testing in the present study not only provides a standard of estimating crack depth more accurately, but also reduces the evaluation errors.

摘要 I
英文摘要 II
目錄 III
表目錄 VI
圖目錄 VIII
第一章 緒論 1
1.1 前言 1
1.2 文獻回顧 2
1.3 研究動機與目的 3
1.4 本文架構 4
第二章 理論分析 5
2.1 渦電流檢測簡介 5
2.2 電磁理論方程式 5
2.3 能量方程式與有限元素法 8
2.4 渦電流線圈阻抗方程式 10
2.5 深度-角度評估曲線跨角經驗公式 11
第三章 渦電流有限元素模擬 12
3.1 有限元素模型建立 12
3.2 邊界條件設定 14
3.3 有限元素分析 15
3.4 阻抗平面規一化 17
第四章 模擬參數與探討 20
4.1 內外缺陷與深度 20
4.2 配合比 26
4.3 管壁厚度 28
4.4 導電率 30
4.5 導磁率 33
4.6 檢測頻率 34
4.7 檢測頻率與配合比 38
4.8 檢測頻率與管壁厚度 40
4.9 檢測頻率與導電率 41
4.10 導電率與配合比 45
第五章 深度角度評估曲線分析 47
5.1 配合比之相位偏移 47
5.2 管壁厚度之相位偏移 49
5.3 導電率之相位偏移 50
5.4 管壁厚度與導電率對相位偏移之综何評估 51
第六章 結論 55
參考文獻 58
附錄 61

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