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研究生:蔡舜吉
研究生(外文):Shun-Ji Cai
論文名稱:數位影像法於圓管裂縫之分析
論文名稱(外文):Digital Image Correlation for analysis of cracked cylindrical pipes
指導教授:郭其珍郭其珍引用關係
學位類別:碩士
校院名稱:國立中興大學
系所名稱:土木工程學系所
學門:工程學門
學類:土木工程學類
論文種類:學術論文
論文出版年:2009
畢業學年度:97
語文別:中文
論文頁數:39
中文關鍵詞:數位影像法
外文關鍵詞:Digital Image Correlation
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摘要
裂縫尖端處產生應力集中現象,其結果會加速管線的破壞、降低其安全性與耐久性。本研究以數位影像相關係數法(Digital Image Correlation, DIC)技術,研討含裂縫之壓力鋼管因受內水壓力作用,其裂縫周圍之真實應變分佈檢測之可行性,並與無限小元素法分析結果相互驗證。
DIC模擬實驗與有限元素分析的結果在線彈性範圍下相當的吻合且整體的應變趨勢相同;驗證DIC法之應用於裂縫分析之可靠性。
Abstract
The stress concentration at the tip of the crack in the penstock may ignite the fast crack growth and lead to the total failure of the penstock. In the study, the technique of Digital Image Correlation (DIC) is applied to detect the strain distribution around the crack tip in a penstock subjected to the pressure of water. With the experiment results, the DIC solutions are in very good agreement with that of finite element within the elastic range of the material. This shows the technique of Digital Image Correlation is feasible in use for strain measurement for penstock.
目錄
誌謝................................................i
摘要..............................................ii
Abstract..........................................iii
目錄.............................................iv
圖目錄...........................................viii
表目錄..........................................ix
第一章 緒論............................................1
1.1 前言............................................1
1.2 文獻回顧........................................1
1.3 研究動機........................................2
第二章 數位影像相關法分析原理..........................3
2.1 位移量之計算.....................................3
2.2 應變場之計算....................................3
2.3 DIC法分析裂縫問題...........................6
第三章 含裂縫壓力鋼管之無限小元素法....................8
3.1 管裂縫之無限小元素分析法推導....................8
3.2 薄殼元素之勁度矩陣..............................10
3.3 超級元素之勁度矩陣.............................12
第四章 數值 分析方法..................................16
4.1 ANSYS 介紹.....................................16
4.2 ANSYS 分析架構.................................17
4.3 含裂縫鋼管之模型建立...........................21
4.3.1 有限元素模型建立....................22
4.3.2 邊界條件............................24
4.3.3 壓力負荷............................25
4.3.4 求解、繪圖...........................25
第五章 鋼管破裂實驗設計與分析.........................26
5.1 模擬受壓之含裂壓力鋼管實驗.....................26
5.1.1 實驗設計............................26
5.1.2 實驗說明............................26
5.1.3 實驗結果............................27
5.2 實驗分析結果與數值分析結果比較.................29
第六章 結論與建議.....................................34
6.1 結論...........................................34
6.2 建議...........................................34
參考文獻.................................................35

圖目錄
圖2-1、物體表面上之次級影像(方格)示意圖.........4
圖2-2、物體表面上方變形前與變形後次級影像(格形)之相對位置示意圖.............................................4
圖2-3、DIC法分析流程圖...........................5
圖2-4、裂縫穿網格及細分網格示意..................6
圖2-5、移動網格過程..............................7
圖2-6、連體元素與裂縫元素之比較..................7
圖3-1、圓柱管與薄壁力量..........................15
圖3-2、超級元素之圓柱座標................................15圖3-3、圓柱座標之超級元素平面投影........................15圖4-1、數值分析一般的處理流程圖..........................19
圖4-2、傳統電腦分析數值的處理流程圖......................19
圖4-3、CAE 電腦分析軟體的處理流程圖......................19
圖4-4、ANSYS 分析架構圖..................................20
圖4-5、有線元素分析之流程圖..............................21
圖4-6、板殼元素..........................................22
圖4-7、有限元素節點圖....................................23
圖4-8、有限元素模型圖....................................23
圖4-9、裂縫尖端等比例切割圖..............................24
圖4-10、邊界條件固定意示圖...............................24
圖4-11、應變分佈圖.......................................25
圖5-1、實驗元件..........................................27
圖5-2、鋼管裂縫尖端區域之斑紋處理........................28
圖5-3、數位影像網格化....................................28
圖5-4(a)含軸向裂縫之鋼管在0度角之應變與裂縫尖點距離之關係圖.......30
圖5-4(b)含軸向裂縫之鋼管在0度角之應變與裂縫尖點距離之關係圖.......31
圖5-5、 DIC法在不同加壓下之應變分佈圖....................32
圖5-6 、數值分析法在不同加壓下之應變分佈圖.........33
表目錄
表4-1、相關參數列表............22
表5-1、鋼管材質之力學性值........27
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