電化學鑽孔加工之模擬

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姓名

黃銘志(Ming-chih Huang) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

電化學鑽孔加工之模擬
(The simulation of the electrochemical drilling)

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摘要(中)

在電化學鑽孔加工過程中，陽極工件會隨著加工時間而使得外型不斷演變，直至得到所需的加工外型，在模擬上，陰極刀具的進給與陽極工件外型的演變皆會產生移動邊界的問題。本文利用等位函數法來解決移動邊界的問題，模擬陽極工件外型隨著陰極刀具的進給時，工件外型的演變，並探討各種刀具類型、工作電壓與刀具進給速度等…對陽極工件外型的影響。結果顯示在不發生撞針的情況下，越小的工作電壓與越快的刀具進給速度可得到越好的加工外型。

摘要(英)

In the electrochemical drilling (ECD) process, the shape of the workpiece would keep changing until the final shape had been reached. However, the feeding rate of the tool and the evolution of the workpiece would result in moving boundary problems in numerical analysis. Therefore, this article used the level set method to solve moving boundary problems. Finally, the influence of different types of tools, working voltage, and the feeding rate on ECD processes would be discussed. The results could be obtained that the smaller working voltage and the faster feeding rate would get the better shape of the workpiece.

關鍵字(中)

★ 電化學鑽孔加工
★ 等位函數法

關鍵字(英)

★ electrochemical drilling
★ level set method

論文目次

第一章緒論……………………………………………………………..1
1.1 前言…………………………………………………….......1
1.2 文獻回顧………………………………………………..….2
1.2.1 電化學鑽孔加工…………………………………..…2
1.2.2 反求加工刀具外型………………………………..…3
1.2.3 微電化學加工………………………………………..4
1.3 研究目的…………………………………………………...4
第二章理論分析………………………………………………………..6
2.1 理論描述與假設…………………………………………...6
2.2 二維電場分佈……………………………………………...7
2.2.1 電場統御方程式........................................................7
2.2.2 刀具類型之邊界條件………………………………7
2.3 電解反應…………………………………………………...9
2.4 電流密度………………………………………………….10
2.5 導電度…………………………………………………….11
2.6 等位函數法……………………………………………….12
2.6.1 等位函數法之原理………………………………..13
2.6.2 等位函數方程式…………………………………..14
2.6.3 等位函數之重距離化……………………………..15
第三章數值方法………………………………………………………17
3.1 網格配置………………………………………………….17
3.2 等位函數方程式………………………………………….17
3.2.1 Weighted Essentially Non-Oscillatory (WENO)
Schemes…………………………………………....18
3.2.2 Total Variation Diminishing(TVD) Runge-Kutta
Schemes……………………………………………21 3.3 等位函數之重距離化…………………………………….21
3.4 等位函數之重距離化的收斂標準……………………….22
3.5 初始等位函數的設定…………………………………….23
3.6 電場之計算……………………………………………….24
3.7 工件外型的演進………………………………………….25
3.8 刀具進給………………………………………………….25
3.9 計算流程………………………………………………….26
第四章結果與討論……………………………………………………28
4.1 三種刀具類型之比較…………………………………….29
4.2 加工電壓的影響………………………………………….32
4.3 刀具進給速度的影響…………………………………….33
4.4 電解液導電度的影響…………………………………….35
4.5 脈衝的影響……………………………………………….36
4.6 初始間隙的影響………………………………………….36
第五章結論與未來展望………………………………………………38
5.1 結論……………………………………………………….38
5.2 未來展望………………………………………………….39
參考文獻………………………………………………………………..40
附錄A…………………………………………………………………..47
附錄B…………………………………………………………………..49

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指導教授

洪勵吾(Li-wu Hung)

審核日期

2007-7-6

推文