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研究生:周水德
研究生(外文):Chou Shuei-De
論文名稱:球型端銑刀之銑削力學統計模式分析
論文名稱(外文):The Analysis of Statistical Model of the Milling Force in Ball-End Milling Operations
指導教授:戴兢志
指導教授(外文):Tai Ching-Chih
學位類別:碩士
校院名稱:大同工學院
系所名稱:機械工程研究所
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:1998
畢業學年度:86
語文別:中文
中文關鍵詞:球型端銑刀統計實驗計劃法反應曲面法數學模式最佳化直交表
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本研究主要的目的是探討使用球型端銑刀加工自由曲面時,影響切削力變異的切削參數。且利用實驗統計方式建立球型端銑刀之銑削力學模式,並依據此模式探討各切削參數對切削力變異的影響。實驗驗證結果顯示,本數學模式具有良好的適用性。本文採用實驗規劃法規劃實驗。選擇主軸轉速、進給、軸向切深、徑向切深、位置角為實驗因子,並利用實驗規劃法中之反應曲面法和田口法設計為基礎配置實驗。實驗數據將由統計軟體進行迴歸分析。首先由反應曲面法之變異數分析判定影響切削力變異的顯著因子和建立模式之適用性。其次利用正歸分析的二階數學模式建立加工參數與切削力間的數學模式,以期能在不同的加工條件下預測切削力之大小。分析結果顯示影響切削力之顯著因子依序為軸向切深、主軸轉速、位置角和進給。經實驗驗證結果顯示,本數學模式具有良好的適用性。最後運用最佳化的法則,在本研究探討之切削範圍內搜尋最佳切削條件,以提供加工者選擇切削條件之參考。

The purpose of this research is to investigate what kind of cutting parameterswould affect the milling forces, when we use the ball-end milling cutter tomachine the free-form surfaces. The statistical experiment method is utilizedto establish the milling forces model of ball-end milling cutter and toinvestigate the effects of cutting parameters on milling forces withindifferent cutting conditions in accordance with the milling force models.The experimental results show that the milling force models are of goodreliability.In this study, the experimental design is adopted to plan the experiment.The experimental factors, including spindle speed, feed, axial depth of cut,radial depth of cut and position angle, are taken into consideration toinvestigate the effects on milling forces. In the experimental design, thematrix is planned by means of Response Surface Methodology and Taguchi Method.The experimental results are analyzed by statistical software package.Firstly, the experimental results which are analyzed by the analysis ofvariance can be practiced to assess the prominence among experimental factors.And then utilizing a second-order mathematical model, which is called canonicalanalysis, to model the mathematical relationship between cutting conditionsand milling forces. It is anticipated that the model is able to predictmilling forces over a wide variety of cutting conditions. The experimentalresults show that those significant factors, which will affect the millingforces, are in sequence to be the axial epth of cut, spindle speed,position angle and finally the feed rate. The model is also proved in goodagreement with experimental results. Finally, an optimum method is adoptedto search the optimal cutting conditions in the process of machining free-formsurfaces. These results are to provide the process planner with a guidance inselecting machining conditions.

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