利用有限元素法與反應曲面法探討 金屬成型問題之最佳化設計-行星路徑旋轉鍛造傘齒輪為例

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姜冰蕾(Ping-Lei Chiang) 查詢紙本館藏

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機械工程學系在職專班

論文名稱

利用有限元素法與反應曲面法探討金屬成型問題之最佳化設計-行星路徑旋轉鍛造傘齒輪為例

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摘要(中)

本文利用有限元素軟體Deform-3D進行模擬分析，研究上模具以行星運動路徑之旋轉鍛造傘形齒輪，為了探討旋轉鍛造傘形齒輪的品質設計問題，以下模穴填充率與應變均勻度為品質特性，以胚料體積V、胚料上端面直徑d_1、胚料下端直徑d_2、胚料下方高度h_1、(下模)每轉進給率S、上模具傾斜角為品質因子，採用Box-Behnken實驗設計[36]進行模擬實驗，以建立品質反應曲面的模型。每個品質因子的實驗設計皆採用三水準，再以其分析結果為樣本，透過迴歸分析建立二階多項式預測模型，求得齒輪在良好填充率下，應變均勻度最小之最佳化解。本文結果顯示品質特性之預測模型具有精確度。

摘要(英)

In this paper, the FEM simulation model of cold rotary forging is established under Deform-3D software environment. the upper die motion path is a planetary on cold rotary forging of a spur bevel gear. To investigate the quality design of spur bevel gear, the filling rate of lower die cave and equivalent strain coefficient of variance are quality goals based on the following quality factors: blank volume(V), the diameter of upper blank(d_1), the diameter of lower blank(d_2), the height of lower blank(h_1), feeding rate(S) and the angle of upper die( ). Using the Box-Behnken design of experiment [36], through the regression analysis to build a prediction model of second-order polynomial function. Regression analysis simulation result to obtain gears at the optimization in minimum equivalent strain coefficient of variance and good filling rate. The paper shows the prediction model of quality characteristics is accurate.

關鍵字(中)

★ 旋轉鍛造
★ 傘形齒輪
★ 有限元素分析

關鍵字(英)

★ rotary forging
★ bevel gear
★ FEM

論文目次

摘要 i
Abstract ii
目錄 iii
圖目錄 vi
表目錄 ix
符號說明 x
第一章緒論 1
1-1 前言 1
1-2 文獻回顧 3
1-2-1圓柱及圓環旋轉鍛造鍛粗加工 3
1-2-2齒輪及複雜幾何鍛件的旋轉鍛造加工 5
1-3 研究動機 8
第二章基本理論 10
2-1旋轉鍛造成型原理 10
2-2 旋轉鍛造運動分析 13
2-3傘形齒輪模具建立 18
第三章有限元素法與反應曲面法 21
3-1 Deform-3D有限元素軟體[35] 21
3-1-1軟體介紹 21
3-1-2 Deform-3D的使用流程 24
3-2模擬參數設定 26
3-2-1旋轉鍛造加工參數及材料性質 26
3-2-2有限元素網格建構與解之收斂性探討 27
3-2-3行星路徑旋轉鍛造傘齒輪之有限元素分析結果例 29
3-3反應曲面法[36] 32
3-3-1實驗設計 33
3-3-2迴歸分析基本理論 36
第四章結果與討論 40
4-1模擬驗證 40
4-2行星路徑旋轉鍛造傘形齒輪分析結果 41
4-2-1軸向成型力 41
4-2-2傘形齒輪之填充率 42
4-2-3齒輪之應變均勻度 44
4-3模型建構 44
4-3-1行星路徑回歸模型 48
4-3-2模型檢驗 59
4-4旋轉鍛造傘形齒輪之最佳化分析 60
4-4-1行星路徑之模擬實驗最佳化 60
4-5品質因子對品質特性之效應 61
4-5-1品質因子對填充率之效應 61
4-5-2品質因子對應變均勻度之效應 63
第五章結論與建議 75
5-1結論 75
5-2建議 75
參考文獻 76

參考文獻

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指導教授

葉維磬(Wei-Chinag Yeh)

審核日期

2016-8-11

推文