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研究生: 謝慶文
Hsieh, Chin-Wen
論文名稱: 不同外徑/壁厚比尖銳凹槽6061-T6鋁合金管在循環彎曲負載下行為與毀損之理論研究
Theoretical Analysis of Response and Failure for Local Sharp-notched 6061-T6 Aluminum Alloy Tubes with Different Diameter-to-thickness Ratios under Cyclic Bending
指導教授: 潘文峰
Pan, Wen-Fung
學位類別: 碩士
Master
系所名稱: 工學院 - 工程科學系
Department of Engineering Science
論文出版年: 2018
畢業學年度: 106
語文別: 中文
論文頁數: 104
中文關鍵詞: 有限元素ANSYS分析不同外徑/壁厚比尖銳凹槽6061-T6鋁合金管彎矩曲率橢圓化應力應變疲勞模式
外文關鍵詞: ANSYS Workbench 16.0, Local sharp-notched 6061-T6 Aluminium Tubes, Different Diameter-thickness Ratios, Moment, Curvature, Ovalization, Stress, Strain, Mode of Fatigue Failure
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  • 本文主要是模擬不同外徑/壁厚比不同凹槽深度的尖銳凹槽6061- T6鋁合金圓管在承受對稱曲度循環彎曲負載的行為與毀損。在設定適當的幾何尺寸、網格元素數量、邊界條件、負載條件、時間步階與後處理, ANSYS Workbench 16.0可用來分析相關的力學行為(彎矩、橢圓化、應力與應變)。根據ANSYS模擬彎矩-曲率關係顯示,在相同的外徑/壁厚比值時,凹槽深度對關係圖的影響非常小。至於橢圓化-曲率關係顯示,沒有凹槽深度的圓管呈現對稱和棘齒狀增加的變化,而當外徑/壁厚比值越大時或凹槽深度值越大時,橢圓化值成長的越快且越不對稱。將模擬數據結果與實驗結果【16】進行比較後顯示,模擬的分析能合理描述實驗結果。接著,運用ANSYS計算出應力與應變幅度後,再與實驗【16】所求得之疲勞損毀圈的數值,標示於雙對數座標中。由於應變幅度-疲勞損毀圈數在雙對數座標中幾乎收斂於一條直線,因此,本文提出疲勞模式,並根據直線的斜率及截距,求得所對應的疲勞參數值。

    In this paper, the finite element software ANSYS Workbench 16.0 is used to analyze the mechanical behaviour of local sharp-notched circular tubes under cyclic bending. The mechanical behaviour includes the moment-curvature and ovalization-curvature relationships. The tube’s dimensions include three different diameter-thickness ratios and five different notch depths. According to the simulation results, the sharp-notched depth increases, the unsymmetrical phenomenon of the ovalization-curvature relationship becomes obvious and the speed of ovalization accelerates. By comparison of simulation and experimental results, the simulation can reasonable describe the mechanical behaviour of experiment. Finally, ANSYS Workbench 16.0 is employed to calculate the magnitude of stress and strain amplitudes. Next, the stress and strain amplitudes and the experimental number of fatigue failure cycles [16] are plotted in double logarithmic coordinates. Because the strain amplitude - the number of fatigue failure cycles relationship in double logarithmic coordinates is almost converged to a regression line, the mode of fatigue failure is proposed in this study. According to the slope and intercept of the straight line, it can be calculated the corresponding material parameters.

    摘要I 誌謝XIV 目錄XV 表目錄XVII 圖目錄XX 符號說明 XXVII 第一章 緒論1 1-1 研究動機1 1-2 文獻回顧2 1-3 論文架構11 第二章 理論基礎13 2-1 塑性理論基礎13 2-2 有限元素分析法18 2-3 ANSYS有限元素分析軟體簡介20 2-3-1 前處理(Pre-Processing)21 2-3-2 有限元素分析(Finite Element Analysis)24 2-3-3 後處理(Post-Processing)25 第三章 ANSYS模型建立與分析26 3-1 材料參數設定26 3-2 有限元素模型之建立27 3-2-1建立幾何模型27 3-2-2 有限元素類別29 3-2-3 網格分割31 3-3 邊界條件與負載設定33 3-4 求解條件與設定37 第四章 模擬結果與理論分析40 4-1 彎矩與橢圓化之收斂性分析40 4-2 彎矩值與曲度之關係43 4-2-1 實驗數據結果43 4-2-2 模擬數據結果47 4-3 橢圓化數值與曲度之關係51 4-3-1 實驗數據結果51 4-3-2 模擬數據結果62 第五章 疲勞壽命理論73 5-2 邱政諄【16】的實驗與理論分析結果73 5-1 疲勞分析之相關物理量77 5-3 有限元素ANSYS分析結果77 5-4 疲勞壽命理論89 5-5 線性迴歸模型配適度的指標91 第六章 結論101 參考文獻 103

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