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研究生: 張宇揚
Chang, Yu-Yang
論文名稱: 以田口灰關聯分析法與沉積路徑規劃優化定向能量沉積製程
Directed Energy Deposition Process Optimization Using Taguchi-Grey Relational Analysis and Deposition Toolpath Planning
指導教授: 黃聖杰
Hwang, Sheng-Jye
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2021
畢業學年度: 109
語文別: 中文
論文頁數: 155
中文關鍵詞: 定向能量沉積製程 、田口灰關聯分析 、沉積效率 、表面粗糙度 、孔隙率 、沉積路徑規劃 、雷射頭每層抬升距離(Z-offset) 、具懸空扭轉幾何的機翼製造
外文關鍵詞: Directional energy deposition, Taguchi-grey relational analysis, Cladding efficiency, Surface roughness, Porosity, Deposition toolpath planning, Laser head rising height (Z-offset), Blade fabrication
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  • 積層製造擁有生產期程短、能客製化生產、節省材料、能製作具有複雜幾何外觀工件等的優勢;其中,能夠以金屬作為材料,提供產品足夠剛度、抗疲勞能力、耐高溫化學性的定向能量沉積製程(Directed energy deposition,DED)與粉床熔融成型製程(Powder bed fusion,PBF)更是在這十多年內飛速地發展起來。本研究便是以定向能量沉積製程為主軸,使用鎳基合金IN 718金屬粉末為材料,進行實驗觀察製程因子對品質影響並取得最佳因子組合;再將優化結果應用於路徑規劃與沉積製作實驗,最後完成具有懸空扭轉幾何的類機翼工件之製作。
      本研究使用田口灰關聯分析方法(Taguchi-grey relational analysis)做為實驗設計方法進行多品質之製程因子組合優化實驗;由結果分析得到五個控制因子:雷射功率、重疊程度、供粉量、掃描速度及雷射離焦距離對三個品質:沉積效率、表面粗糙度及孔隙率之影響,最後決定出能兼顧各品質之最佳因子組合。也以實驗數據進行變異數分析(ANOVA),找出對各品質影響最顯著之因子當作變因建立迴歸模型,並測試各模型之預測能力,確認是否可做為初步預測製程產品品質之工具。
      優化後的因子組合被應用在工件製作的研究上,使用NX CAM軟體進行路徑規劃,輔以後處理器與Matlab程式進行路徑延長與雷射系統專用M碼之添加等特殊處置,最後生成可以實際上機執行之NC程式。本研究先以一個正方體測試工件分別對薄殼輪廓與實心填補路徑進行測試;路徑測試的結果提出可以依所要製作工件的形貌選擇「固定每層抬升並調整雷射頭抬升距離(Z-offset)法」或「螺旋上升法」這兩種方法進行輪廓路徑沉積;而填補路徑則可以使用「往復式水平/垂直鋸齒狀方法」,依照工件截面調整填補的角度以避免未填補之空隙產生。最後結合在因子優化與路徑規劃兩部分之研究成果,設定Z-offset為50%之「螺旋上升法」完成薄殼類機翼工件之製作;而實心機翼工件則是以「固定每層抬升距離並調整Z-offset法」與「45°往復式水平/垂直鋸齒狀方法」完成製作。使用上述的路徑在工件形貌與沉積效率上都有得到改善並有不錯的成效。
      此外也透過實驗探討Z-offset設定與稀釋率之關係,得出可以透過「由熱變形所造成之舊層高度收縮量與單層沉積稀釋率兩者相同」的想法,將Z-offset設定為首層層高乘以舊層層高受熱縮減程度,進而讓沉積成品獲得較好的外觀形貌與沉積效率之結論。搭配稀釋率曲面擬合模型,提出系統性調整Z-offset之方法來提高DED產品之沉積品質。

    關鍵字:定向能量沉積製程、田口灰關聯分析、沉積效率、表面粗糙度、孔隙率、沉積路徑規劃、雷射頭每層抬升距離(Z-offset)、具懸空扭轉幾何的機翼製造

    In this study, a multi-objective optimization of directed energy deposition (DED) process was conducted with Taguchi-grey relational analysis. In this optimization, the effects of five control factors (laser power, overlap ratio, powder feed rate, scanning speed and laser defocus distance) on three DED product qualities (cladding efficiency, surface roughness and porosity) were analyzed and an optimal factor setting which can take all qualities into account was found. ANOVAs were also conducted to find out significant factors of each qualities. By using the significant factors as variations, three regression predictive models for qualities were created.

    The optimized factor setting was applied to deposition toolpath planning research and part fabrications. The deposition toolpath in this study was decomposed into contour and field toolpaths. First of all, a cuboid part model of which geometry was simpler was created to test toolpath planning approaches. The results recommended to use "Fixed rising height per layer with proper laser head rising height (Z-offset setting)" or "Spiral" approaches to plan contour toolpaths. For field toolpaths, "Reciprocating zigzag” planning approach was suggested and it needed to adjust the cladding angle to fit the cross-section of parts. According to the test results of cuboid part fabrications, the contour of target blade part was successfully manufactured with 50% Z-offset setting and spiral toolpath. The solid blade fabrication was also finished with fixed rising height per layer with 50% Z-offset setting and 45° reciprocating zigzag toolpath.

    In addition, the relationship between the Z-offset setting and the dilution was investigated through experiments. A conjecture that a height shrinkage of an old layer caused by thermal deformation is equal to the single-layer deposition dilution was proposed. Based on this conjecture, user can improve DED deposition results by setting Z-offset as "the product of single-track height and the degree of shrinkage of the old layer height." By combining predictive value of dilution surface fitting model with the conjecture, it can be easier to get better DED deposition qualities.

    Keywords: Directional energy deposition, Taguchi-grey relational analysis, Cladding efficiency, Surface roughness, Porosity, Deposition toolpath planning, Laser head rising height (Z-offset) and Blade fabrication

    摘要 i Extended Abstract iii 致謝 lviii 目錄 lx 表目錄 lxv 圖目錄 lxviii 符號說明 lxxiv 第一章、 緒論 1 1.1 前言 1 1.1.1 積層製造 1 1.1.2 定向能量沉積製程(DED)與粉床熔融成型製程(PBF) 2 1.2 研究動機 5 1.3 文獻回顧 6 1.3.1 DED製程因子與品質研究 6 1.3.2 實驗設計與分析方法 8 1.3.3 路徑規劃與DED產品形貌 8 1.4 研究目的 11 1.5 論文架構 13 第二章、 實驗設備與材料 16 2.1 DED製程系統 [7][8] 16 2.2 雷射原理與光束特徵 24 2.2.1 雷射原理 24 2.2.2 光纖雷射 25 2.2.3 雷射光束特徵 26 2.3 金屬材料 29 2.3.1 鎳基超合金Inconel 718 (IN 718) 29 2.3.2 Inconel 718粉末品質 30 第三章、 研究方法 32 3.1 田口實驗設計方法 32 3.1.1 田口方法(Taguchi method)概述 [37] 32 3.1.2 實驗設計與控制因子 33 3.1.3 產品品質 37 3.1.4 訊號雜訊比(Signal-to-noise ratio,SNR, ) 39 3.1.5 L16直交表 42 3.2 變異數分析(ANOVA) 44 3.3 灰關聯分析方法(Grey relational analysis,GRA) [39] 47 第四章、 實驗結果分析與討論 50 4.1 以沉積效率(CE)為品質之田口實驗結果分析 53 4.1.1 實驗結果 53 4.1.2 結果分析 54 4.1.3 變異數分析 56 4.1.4 迴歸模型 57 4.2 以表面粗糙度(Sa)為品質響應之田口實驗結果分析 60 4.2.1 實驗結果 60 4.2.2 結果分析 62 4.2.3 變異數分析 63 4.2.4 迴歸模型 64 4.3 以孔隙率(Pt)為品質響應之田口實驗結果分析 67 4.3.1 實驗結果 67 4.3.2 結果分析 70 4.3.3 變異數分析 72 4.3.4 迴歸模型 73 4.4 田口灰關聯分析法 75 4.4.1 經處理後之數據 77 4.4.2 結果分析 78 第五章、 確認實驗與一次一因子實驗 80 5.1 確認實驗(Verfication experiment)結果 80 5.2 一次一因子實驗(One-factor-at-a-time experiment,OFAT experiment) 85 5.2.1 實驗目的與設計 85 5.2.2 實驗結果 86 5.3 與迴歸模型預測值之比較 89 5.3.1 沉積效率 89 5.3.2 表面粗糙度 90 5.3.3 孔隙率 91 第六章、 沉積路徑規劃與工件製作 93 6.1 沉積路徑生成工具與工件設計 93 6.1.1 NX CAD/CAM 93 6.1.2 目標工件與測試工件幾何 94 6.1.3 機台模擬 97 6.2 路徑規劃 104 6.2.1 路徑規劃流程 104 6.2.2 路徑分類與通用設定 105 6.2.3 外觀輪廓路徑(Contour toolpath) 106 6.2.4 內部填補路徑(Field toolpath) 109 6.2.5 雷射M碼與NX 後處理器 110 6.2.6 使用Matlab延伸填補路徑 115 6.3 雷射頭每層抬升(Z-offset)設定與產品稀釋率(Dilution)之關係研究 118 6.3.1 Z-offset設定與產品Dilution 118 6.3.2 Dilution曲面擬合模型 120 6.3.3 比對Dilution模型預測值與OFAT及確認實驗數據 122 6.4 測試工件沉積結果 124 6.4.1 填補路徑 124 6.4.2 輪廓路徑 125 6.4.3 複合填補與輪廓路徑試驗 128 6.5 目標工件沉積結果 130 6.5.1 輪廓路徑 130 6.5.2 複合路徑 133 6.5.3 Z-offset設定與產品Dilution關係 136 第七章、 結論與未來展望 141 7.1 結論 141 7.2 未來展望 143 參考文獻 145 索引 152

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