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研究生: 孫尉傑
Sun, Wei-Jie
論文名稱: 有限元素分析不同截面相同方向多餘圓孔的圓孔管承受循環彎曲負載下之行為
Finite Element Analysis on the Behavior of Round-hole Tubes with a Redundant Hole on the Different Cross-Section and Same Direction under Cyclic Bending
指導教授: 潘文峰
Pan, Wen-Feng
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: 2019
畢業學年度: 107
語文別: 中文
論文頁數: 59
中文關鍵詞: 有限元素法6061-T6圓孔鋁合金管多餘圓孔循環彎曲彎矩曲率橢圓化應力
外文關鍵詞: ANSYS Workbench 17.0, Round-hole 6061-T6 Aluminum Alloy Tubes, Redundant Round Hole, Cyclic Bending, Moment, Curvature, Ovalization, Stress
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  • 本文使用有限元素ANSYS Workbench 17.0軟體分析不同截面但相同方向多餘圓孔的6061-T6鋁合金圓孔管在循環彎曲負載下的力學行為,其中圓孔管的圓孔位於0o方向(y軸方向),圓孔直徑固定為6 mm,而所考慮的多餘圓孔位於90o方向(x軸方向),圓孔直徑固定為2 mm,至於不同截面係指距離圓孔管圓孔的截面有五個不同的水平距離分別為:10、20、30、40與50 mm,所分析的力學行為有:彎矩-曲率關係及橢圓化-曲率關係。
    由李永森【18】的實驗結果可看到,改變不同截面的多餘圓孔對彎矩-曲率關係幾乎沒有明顯的影響,且從第一圈循環開始,該曲線即為一穩定迴圈。而橢圓化-曲率關係皆呈現棘齒狀且不對稱的形式成長,且ANSYS分析也能合理的描述李永森【18】所做的實驗結果。一旦確認ANSYS模擬能準確的描述實驗結果,則每一個循環彎曲負載事件中的應力幅度即可準確的求得。由於最大應力及最小應力數值上的並無太大的差異,所以平均應力影響不列入考慮。根據分析結果顯示,所提出的疲勞模式能適當的預測有多餘圓孔的6061-T6圓孔管在循環彎曲負載下的疲勞壽命。

    In this study, the finite element ANSYS Workbench 17.0 is used to analyze the mechanical behavior of round-hole 6061-T6 aluminum alloy tubes with a redundant hole on a different cross-section but at the same direction under cyclic bending. The round hole of the round hole tube is in the 0o direction (y-axis direction), and the diameter of the round hole is 6 mm. A redundant hole considered is in the 90o direction (x-axis direction) with a diameter of 2 mm. As for the different cross-section, there are five different sections from the section of the round hole of the round-hole tube. The horizontal distances are 10, 20, 30, 40 and 50 mm. The mechanical behaviors analyzed are moment-curvature relationship and ovalization-curvature relationships.
    It can be seen from the experimental results of Y. S. Lee [18] that changing the redundant hole with different cross sections has almost no obvious influence on the moment-curvature relationship. From the first cycle, the moment-curvature relationship shows a stable loop. The ovalization-curvature relationship grows in a ratcheting and asymmetrical form. The ANSYS analysis can reasonably describe the experimental results of Y. S. Lee [18]. Once the ANSYS simulation is confirmed to accurately describe the experimental results, the magnitude of the stress in each cyclic bending load can be accurately determined. Since there is not much difference between the maximum stress and the minimum stress value, the mean stress effect is not considered. According to the analysis results, a proposed fatigue mode can properly predict the fatigue life.

    摘要 I 表目錄 3 圖目錄 4 第一章 緒論 8 1-1 研究背景及動機 8 1-2 文獻回顧 9 1-3 論文大綱 14 第二章 理論基礎 16 2-1塑性基礎理論 16 2-1-1雙線段動態硬化法則(Bilinear kinematic hardening) 17 2-1-2多線段動態硬化法則(Multilinear isotropic hardening) 19 2-2有限元素法(Finite element method) 19 2-3有限元素法模擬分析軟體ANSYS Workbench 17.0 20 2-3-1前處理(pre-processing) 21 2-3-2有限元素分析(finite element analysis) 22 2-3-3後處理(post-processing) 23 第三章 ANSYS Workbench模擬分析 24 3-1 材料特性 24 3-2有限元素法建模 25 3-2-1圓管模型 26 3-2-2 網格分割 27 3-2-3 元素說明 29 3-3邊界條件及負載 30 3-4計算求解過程 35 第四章 ANSYS 分析結果 37 4-1彎曲與橢圓化之收斂性分析 37 4-2 彎矩與曲率關係 38 4-3 橢圓化與曲率關係 42 4-4 應力幅度與疲勞壽命之關係 48 4-4-1 疲勞分析之相關物理量 49 4-4-2 ANSYS模擬分析結果 49 4-4-3 應力幅度與疲勞壽命之關係 53 第五章 結論 55 文獻回顧 57

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