以有限元素法與反應曲面法分析兩點增量成形

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劉家宏(Chia-Hung Liu) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

以有限元素法與反應曲面法分析兩點增量成形

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摘要(中)

本文透過有限元素軟體ABAQUS模擬分析，探討壓料板力、沖頭直徑、沖頭轉速、每層下降量對成品最薄厚度、厚度均勻度之影響，並找出最適合之加工條件，達到提升最薄厚度、厚度均勻度的目的。
本文以四種參數進行增量板金成形之模擬，並採用實驗設計法中適合建構二階反應曲面之Box-Behnken四因子三水準設計，共計25組模擬實驗點，並利用統計軟體Minitab依ABAQUS有限元素軟體分析之結果進行迴歸分析，以建立成品最薄厚度、厚度均勻度之預測模型，進而探討各因子對品質特性之影響，並找出最佳化條件。以有限元素模擬結果對本文所建構之預測模型進行檢驗，其結果顯示預測模型具有一定準確度。

摘要(英)

An FEM model of incremental sheet metal formed hemisphere-cup is developed under the ABAQUS software. To observe the influence of punch geometric parameters, downward pressure, and step down size to the thinnest thickness, thickness uniformity of the finished. Also, intend to find the incremental forming condition for optimum design.
The factors in the design include the tool nose diameter, spindle speed, downward pressure, and step down size. The experiment adopts 25 groups of analogs with the Box-Behnken design. Using the Minitab software to do the regression analysis and develop the prediction equations. By doing so, it’s excepted using the FEM model and surface response methodology to find the optimum design of the thinnest thickness, thickness uniformity. Through the results of FEM simulations to verify the prediction equations with considerable accuracy.

關鍵字(中)

★ 兩點增量成形

關鍵字(英)

★ Box-Behnken

論文目次

摘要 v
Abstract vi
致謝 vii
圖目錄 xi
表目錄 xiii
符號說明 xiv
第一章導論 1
1-1前言 1
1-2文獻回顧 2
1-2-1板金成形 2
1-2-2 單點增量成形 3
1-2-3 兩點增量成形 5
1-3研究動機與目的 8
第二章基本理論 10
2-1增量成形之製程介紹 10
2-2 增量成形之成品厚度 11
2-3增量成形應力理論 12
2-3-1圓周方向應力 15
2-3-2厚度方向應力 15
2-3-3經緯方向應力 16
第三章有限元素法與實驗設計法 19
3-1有限元素法 19
3-1-1有限元素法基本介紹 19
3-1-2 ABAQUS使用流程 20
3-2增量成形之有限元素模擬設定 21
3-2-1幾何模型及材料參數 21
3-2-2接觸定義與動態軌跡加載 22
3-2-3模具建立 23
3-2-4刀具路徑設定 24
3-2-5板材最薄厚度量測及厚度均勻度評估 31
3-2-6最薄厚度定義 33
3-2-7厚度均勻度定義 33
3-2-8驗證結果 34
3-2-9增量成形有限元素網格收斂性分析 35
3-3 反應曲面法 38
3-3-1 迴歸分析 40
3-3-2 實驗設計法 43
3-3-3模擬實驗因子與水準 43
第四章結果與討論 46
4-1模擬結果 46
4-1-1半圓球增量成形分析結果例 46
4-1-2不同剖面厚薄度比較 50
4-1-3 Box-Behnken實驗設計點結果 52
4-2迴歸模型建構 54
4-2-1 最薄厚度之迴歸分析 54
4-2-2厚度均勻度之迴歸分析 58
4-2-3殘差分析 61
4-3 迴歸模型檢驗 64
4-4 TPIF最佳化分析 66
第五章結論與建議 68
5-1結論 68
5-2後續探討 69
參考文獻 70

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指導教授

葉維磬(Wei-Ching Yeh)

審核日期

2020-7-28

推文