以有限元素法與反應曲面法分析螺旋傘齒輪之旋轉鍛造最佳化設計

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?銘濠(Ming-Hao Tu) 查詢紙本館藏

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機械工程學系

論文名稱

以有限元素法與反應曲面法分析螺旋傘齒輪之旋轉鍛造最佳化設計

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摘要(中)

本文透過有限元素軟體Deform-3D進行旋轉鍛造螺旋傘形齒輪模擬分析，探討加工參數以及胚料幾何參數對鍛造最大成形力以及填充率的影響，並找出最合適之加工條件，達到提升填充率及降低成形力的目的。本文設計之旋轉鍛造加工參數包含下模具每轉進給量S以及上模具傾斜角γ；胚料幾何參數包含胚料中段直徑D及胚料高度H。實驗設計採用Box-Behnken四因子三水準設計，以建構二階反應曲面。本文共建立25組實驗點進行模擬分析，其中包含一組中心點實驗，再使用統計軟體Minitab對模擬結果進行回歸分析，建立最大成形力以及填充率之預測模型，進而探討各因子對品質特性的影響，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的準確度。

摘要(英)

An FEM model of cold rotary forging of a spiral bevel gear is developed under the DEFORM-3D software. To observe the influence of work-piece geometry parameters and rotary forging process parameters to the forging maximum load and die-filling rate. Also, intend to find the rotary forging condition for optimum design.
The four factors in the design include the work-piece geometry parameters, such as height H and middle diameter D, and rotary forging process parameters, such as inclination angle of the upper die γ and feed amount of per revolution S. 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. Obtaining the optimum design of the forging maximum load and die-filling rate by using response surface methodology. Through the results of FEM simulations to verify the prediction equations with considerable accuracy.

關鍵字(中)

★ 旋轉鍛造
★ 螺旋傘形齒輪
★ 有限元素分析

關鍵字(英)

論文目次

摘要 i
Abstract ii
致謝 iii
目錄 iv
圖目錄 viii
表目錄 xi
符號說明 xiii
第一章緒論 1
1-1研究背景與動機 1
1-2金屬加工方法 3
1-3文獻回顧 6
1-3-1圓柱及圓環旋轉鍛造鍛粗加工 6
1-3-2傘形齒輪旋轉鍛造加工 12
1-3-3模具淨成形設計 18
第二章基本理論 20
2-1旋轉鍛造成形原理 20
2-2旋轉鍛造運動分析 24
2-3傘形齒輪模具建立 34
第三章有限元素法與實驗設計法 38
3-1有限元素模擬 38
3-1-1有限元素法於塑性加工之應用 39
3-1-2有限元素法之力學模式及數值分析 40
3-2 Deform-3D有限元素軟體 41
3-2-1軟體介紹 41
3-2-2 Deform-3D的使用流程 41
3-3有限元素模擬設定 44
3-3-1旋轉鍛造加工參數及材料性質 44
3-3-2有限元素網格建構與模擬收斂性探討 46
3-3-3旋轉鍛造螺旋傘形齒輪有限元素分析結果例 49
3-4實驗設計法[44] 56
3-4-1反應曲面法(Response Surface Methodology，RSM) 56
3-4-2回歸分析基本理論 57
3-4-3模擬實驗因子與水準 59
第四章結果與討論 62
4-1模擬驗證 62
4-2旋轉鍛造螺旋傘型齒輪模擬結果 64
4-2-1旋轉鍛造軸向成形力 64
4-2-2旋轉鍛造填充率 65
4-2-3等效應力與等效應變 68
4-2-4模擬結果 69
4-3回歸分析 71
4-3-1鍛造成形力(F)之回歸分析 71
4-3-2鍛造填充率(f)之回歸分析 74
4-3-3殘差分析 78
4-4預測模型檢驗 81
4-5螺旋傘型齒輪最佳化分析與結果例 82
4-6品質因子對品質特性之效應 92
4-6-1品質因子對成形力之效應 92
4-6-2品質因子對填充率之效應 94
第五章結論與建議 98
5-1結論 98
5-2建議 98
參考文獻 100
附錄A 106
附錄B 109

參考文獻

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指導教授

葉維磬

審核日期

2018-8-16

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