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研究生:李紹玄
研究生(外文):Shao-Hsuan Lee
論文名稱:等通道扭轉彎角擠製之有限元素法及反應曲面法分析
指導教授:葉維磬
指導教授(外文):Wei-Ching Yeh
學位類別:碩士
校院名稱:國立中央大學
系所名稱:機械工程學系
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2019
畢業學年度:107
語文別:中文
論文頁數:143
中文關鍵詞:等通道扭轉彎角擠製有限元素分析
外文關鍵詞:Box-Behnken
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本文透過有限元素軟體Deform-3D進行等通道扭轉彎角擠製(TCAP)的模擬分析,探討影響試片變形程度以及變形均勻性的參數及其效應。本文之設計參數包括模具的參數旋轉角、扭轉斜角、彎道角與外圓弧角。實驗設計採用適合建構二階反應曲面之Box-Behnken 四因子三水準的設計,建立共25組模擬,利用統計軟體Minitab依Deform-3D有限元素軟體分析的結果進行迴歸分析,以建立等通道扭轉彎角擠製之平均等效應變、最大成形力及應變變異數的預測模型,進而探討各因子對平均等效應變、最大成形力及應變變異數的影響以及最佳的設計參數之水準。本文所建立的平均等效應變、最大成形力及應變變異數預測方程式與有限元素模擬的結果進行驗證,其結果顯示預測模型具有相當的準確度。
An ideal FE model of twist channel angular pressing is developed under the Deform-3D software and discuss effect of deform and effective strain uniformity are in this study.
The factors in the design include twist rotation anle , twist slope angle , channel angle and outer corner angle. The experimental design uses a Box-Behnken 4 factor 3 level design suitable for constructing second-order response surfaces, and a total of 25 sets of simulations are established. The statistical software Minitab is used for regression analysis based on the results of Deform-3D finite element software analysis to establish the prediction model of the average effective strain, the maximum forming force and the strain uniformity of the extrusion. It is excepted using the FEM model and surface response methodology to find the optimum design of parameters.
The simulation results of this paper and the experimental results areverified first. The results show that the finite element software has certain reliability, and the average effective strain , the maximum forming force and the strain uniformity prediction equation established with the results of finite element simulations to verify the results show the prediction model with considerable accuracy.
摘要 i
Abstract ii
圖目錄 vii
表目錄 xi
符號說明 xiv
第一章 緒論 1
1-1前言 1
1-2文獻回顧 4
1-2-1 等通道彎角擠製 4
1-2-2 扭轉擠製 5
1-2-3 等通道扭轉彎角擠製 6
1-2-4 超音波振動輔助 7
1-3研究動機 8
第二章 基本理論 10
2-1 巨量塑性變形製程介紹 10
2-1-1等通道彎角擠製 (ECAE) 10
2-1-2 扭轉擠製 (TE) 12
2-1-3 等通道扭轉彎角擠製 (TCAP) 13
2-2 超音波基本理論 14
第三章 有限元素法與實驗設計法 18
3-1 Deform-3D 有限元素軟體 18
3-2有限元素模擬分析 20
3-2-1 有限元素模擬前處理設定 20
3-2-2 有限元素模擬後處理分析 22
3-2-3 網格收斂性分析 27
3-2-4 等通道扭轉彎角擠製有限元素分析結果例 31
3-2-5 等通道扭轉擠製(TCAP)模擬驗證 34
3-3 反應曲面法 38
3-3-1 迴歸分析 39
3-3-2 實驗設計法 42
第四章 結果與討論 47
4-1模擬實驗因子與水準 47
4-2 中心點實驗之模擬結果 48
4-3 中心點路徑改善之結果 53
4-4 第二次中心點實驗之模擬結果 59
4-5 Box-Behnken實驗設計點之模擬結果 66
4-6 品質特性的迴歸分析結果 68
4-6-1 二階標準模型的迴歸分析 68
4-6-2 二階簡化模型的迴歸分析 73
4-7 TCAP預測模型檢驗 80
4-7-1 Box-Behnken設計點之殘差分析 85
4-7-2 模型檢驗設計點之殘差分析 93
4-7-3 單因子檢驗設計點之殘差分析 99
4-8 TCAP之最佳化分析 105
4-8-1 應變變異數最佳化 105
4-8-2 最大成形力最佳化 107
4-8-3 TCAP之最佳化品質因子與結果 109
4-9 超音波振動輔助TCAP 111
第五章 結論與建議 116
5-1 結論 116
5-2 建議 117
參考文獻 118
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