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研究生: 林均澤
Lin, Jiun-Tze
論文名稱: 有限元素分析有相同截面不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 Same Cross-Section and Different Directions 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: 2019
畢業學年度: 107
語文別: 中文
論文頁數: 61
中文關鍵詞: 循環彎曲力矩曲率橢圓化圓孔管循環至損壞圈數
外文關鍵詞: Round-Hole Tubes, Cyclic Bending, Moment, Curvature, Ovalization, Number of Bending Cycles Required to Ignite Failure
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  • 本文使用適當的應力-應變關係、模型、網格元素、邊界條件及負載條件,有限元素ANSYS Workbench 17.0可用來模擬分析有相同截面不同方向多餘圓孔的圓孔管在循環彎曲負載下的力學行為。本研究所分析的圓孔管材料為6061-T6鋁合金,其中多餘圓孔與圓孔管的圓孔直徑皆為6 mm,而五種不同角度的多餘圓孔方向分別為:45°、67.5°、90°、135°及180°。至於所探討的力學行為包含有:彎矩-曲率與橢圓化-曲率的關係。
    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最大應力及最小應力即可準確的求得。因為實驗試件的毀損型態是疲勞破壞,因此本文使用一個簡單的疲勞模式來估算疲勞壽命。此外,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相同截面不同方向多餘圓孔的6061-T6圓孔管在循環彎曲負載下的疲勞壽命。

    In this study, the finite element software ANSYS Workbench 17.0 is used to analyze the mechanical response of round-hole tubes with a redundant hole on the same cross-section and different directions under the symmetrical curvature- controlled cyclic bending. The material of the tubes is 6061-T6 aluminum alloy and the hole diameters are 6 mm. The mechanical response includes the moment-curvature and ovalization-curvature relationships. The controlled curvature is from +0.4 m-1 to -0.4 m-1. According to the analysis result, the moment-curvature curves show a stable loop for tubes with or without a redundant hole. However, the ovalization-curvature curves show that the values of ovalization from big to small correspond to the redundant hole directions of 45°, 67.5°,90°, 135° and 180°. By comparing the analysis result for redundant holes at different directions, the moment-curvature curves reveal almost no influence by the variation of redundant hole direction. However, the ovalization- curvature curves show a strong influence by different directions of the redundant hole. Finally, by comparison of the ANSYS analysis and the experimental finding, it can be found that the ANSYS analysis can properly simulate the experimental data.

    目錄 摘要 I 符號表 XX 第一章緒論 1 1-1 研究動機 1 1-2 文獻回顧 2 1-3 論文大綱 9 第二章基本理論 11 2-1塑性變形理論 11 2-2 有限元素法 16 2-3 有限元素分析軟體 ANSYS Workbench 17.0 介紹 17 2-3-1 前處理(pre-processing) 18 2-3-2分析計算模組(finite element analysis) 20 2-3-3 後處理(Post-processing) 21 第三章 ANSYS Workbench 分析 23 3-1 材料參數設定 23 3-2 有限元素模型建立 24 3-2-1 幾何模型 24 3-2-2 網格元素 27 3-2-3 網格設定 28 3-3 邊界條件與外加負載 30 3-4 求解條件與設定 33 第四章分析結果 35 4-1 實驗介紹 35 4-2 彎矩與橢圓化之收斂性分析 37 4-3 彎矩和曲率關係 38 4-3-1 實驗結果 38 4-3-2 ANSYS分析結果 39 4-4 橢圓化與曲率關係 44 4-4-1 實驗結果 44 4-4-2 模擬結果 47 4-5 應力幅度與疲勞壽命之關係 51 4-5-1 疲勞分析之相關物理量 51 4-5-2有限元素ANSYS之分析結果 52 4-5-3應力幅度與疲勞壽命之關係 55 文獻回顧 59

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