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 螺旋面與成型砂輪的方程式十分複雜。一般最直接簡易設計方法是用畫圖的方法來完成設計與加工，甚至改變一個尺寸、一個數據就能夠設計與繪製完成複雜的機構。本文運用繪圖的方式與設計能力結合將方程式與參變數融入其中，設計與繪製一種類型的複雜機構，如螺旋面、成型砂輪只需繪圖與設計一次，僅需改變參變數即可完成整個機構、螺旋面、成型砂輪的設計與繪圖，並可由圖形觀察是否合理、是否會干涉，設計尺寸是否可行、特性效能與效益如何？多種功能大多可一覽無遺。本文將螺旋溝槽進行參變數繪圖設計，首次將螺旋溝槽用包絡理論設計複雜的成型砂輪方法步驟，改為以CATIA參變數繪圖進行螺旋溝槽成型砂輪設計繪圖，來取代完成螺旋溝槽成型砂輪用包絡理論設計複雜的方法步驟，並用3D列印製作三組不同螺旋溝槽及成型砂輪模型，可以看出兩者密合度吻合。此技術目前業界仍屬少見，相信可大幅提高業界的接受度，將此技術推廣將有助於提昇國內設計與繪圖的發展。
 The equations of the spiral surface and the forming wheel are very complicated. In general, the simplest and most direct method is using drawing to complete the design and processing. Changing the size or the single data can even design and draw complex mechanisms. This paper used the combination of drawing and designing capabilities, incorporating with equations and parameters, designed and drew a type of complex mechanism, such as spiral surface and forming grinding wheel. The designing and drawing of the entire mechanism, spiral surface and forming wheel could be done just once and completed by simply changing the number of variables. Besides, the graphs could show the characteristic performance and efficiency of the design, whether it was reasonable, whether it would interfere and whether the size was feasible. Most of the features were available at a glance.In this paper, the spiral groove was designed with parametric variable drawing design and the model was produced by 3D printing. For the first time, the spiral groove forming grinding wheel was designed according to the CATIA parametric variable design, instead of the complex method and steps of the enveloping theory. Three sets of different spiral groove and forming grinding wheel models were produced by 3D printing, and it can be seen that the tightness of the two is consistent. This technology is still rare in the industry, I believe that can be a substantial increase in acceptance in the industry. The promotion of this technology will help to enhance the development of domestic design and drawing.
 誌謝……………………………………………………….……..….i摘要………………………………………………………………...iiAbstract……………………………………………………………iii目錄….…………………….…………………….………………....v圖目錄…………………………………………………………...vii符號索引…………………………………………………………xii第一章 緒論……………………………………………………….11-1 研究動機…………...………….…….……………………………….11-2 研究目的…….………..……….……………………………………..11-3 文獻探討……………………………………………………………..31-4 章節瀏覽…………..…..……………………………………………..4第二章 螺旋曲面成型砂輪理論基礎………………………….62-1 包絡與逆包絡理論………...…...…………………………62-2 雙圓弧溝槽設計………...…...…………………………82-3螺旋曲面理論基礎………...…...…………………………10第三章 雙圓弧螺旋曲面繪圖設計與模型製作……….………..123-1 雙圓弧螺旋溝槽繪圖設計…………………….…….……………123-2 雙圓弧螺旋實體模型製作…………………..…………….……….153-3 3D列印模型製作…………………………………………………...16第四章 成型砂輪繪圖設計與模型製作………………………...264-1成型砂輪繪圖設計步驟…………………………………………….264-2 雙溝槽不同半徑成型砂輪繪圖設計與模型製作…………………314-3三溝槽不同半徑成型砂輪繪圖設計與模型製作…..………...……374-4多溝槽相同半徑成型砂輪繪圖設計與模型製作………………….41第五章 結果與討論………………………...……………………475-1結果…..………….……….……….……….……….……………..…475-2討論……………..………..…………………..………....……..……49第六章 未來研究方向……………………...…………………………..54參考文獻…………………………….……………...……………………..55作者簡介……………………………………………...…………………...59
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 1 多角外形與螺旋曲面車床加工研究 2 特殊鉋銑刀之幾何模型與磨輪設計研究 3 以包絡理論設計與製造雙螺旋溝槽曲面

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 1 密封罐身的模具開發與射出成形研究 2 傳統車床加工多邊形研製 3 銑床一次加工多邊形建模研製 4 非圓形齒輪與包絡理論研究 5 旋轉泵線形設計與研究 6 消防勤務服務與設備採購之相對重要性評估 - 以台南市新市區為例 7 以包絡理論設計與製造雙螺旋溝槽曲面 8 兩旋轉控制轉速機構一次切削多邊形研究 9 以CATIA逆向重建葉輪與多軸加工研究 10 多角外形與螺旋曲面車床加工研究 11 螺旋槳逆向工程與加工模擬研究 12 CATIA輔助設計五段溝槽曲面螺旋銑刀之成型砂輪研究 13 四段連續溝槽截形螺旋實體與成型砂輪繪圖設計及研磨模擬 14 車削正多邊形動力機構之研製 15 渦 旋 壓 縮 機 型 線 研 究

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