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研究生: 黃鈴真
Huang, Ling-Chen
論文名稱: 薄工件五軸虛擬加工其彈性變形之體積誤差分析與補償
Volumetric Errors Analysis and Compensation of Elastic Deformation of Thin Workpiece in Five-Axis Virtual Machining
指導教授: 李榮顯
Lee, Rong-Shean
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: 2013
畢業學年度: 101
語文別: 中文
論文頁數: 111
中文關鍵詞: 五軸加工薄工件彈性變形誤差補償
外文關鍵詞: Five-axis machining, thin workpiece, elastic deformation, error compensation
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  • 多軸工具機被應用於許多高精度之產品加工,如醫療器材、航太零件等,其中許多的加工產品為結構剛性較低的薄工件。以往針對薄工件之多軸加工大多以避免因加工造成其彈性變形為原則,於製程設計階段進行重複加工測試與量測求得最佳之進給量。若能建立一套薄工件加工之誤差分析與補償流程,即可省去繁複的加工規劃過程,提升薄工件之製程效率。
    本研究首先以切削力模擬程式計算薄工件於加工過程中所受到之切削力,接著利用有限元素軟體做靜態分析得到變形量,透過MATLAB擬合計算出誤差矩陣,並藉由誤差矩陣修正薄工件之加工路徑,最後透過形狀創成函數將修正之加工路徑做後處理得到補償後之NC碼;系統評估方面,本文將修正後之刀具路徑藉由VERICUT®做切削模擬,並利用有限元素軟體對虛擬加工後之薄工件做卸載分析以得到加工後之體積誤差,使用者可透過系統評估介面得知加工後工件精度是否符合需求,並將評估結果作為加工道次規劃之依據。
    本論文發展出一套系統流程,分析出薄工件之加工體積誤差並予以補償,此系統可應用於多軸加工的製程設計階段,讓使用者針對薄工件之製程做規劃,不僅大幅提升整體製造流程之效率,對工件之精度皆可明顯改善。

    Multi-axis machine tools are used for machining of complex workpieces with high precision, such as medical and aerospace parts, some of which are thin workpieces with low structural rigidity. On account of avoiding elastic deformation of thin workpieces caused by multi-axis machining, most engineers in the past must repeat test and measurement in the process planning stage for the optimal material removal within precision requirement. If an analysis and compensation system for volumetric errors of thin workpieces can be established, it will provide for users with complex process planning to improve the efficiency of processing for thin workpieces.
    In this research, a cutting force simulation program is used for calculating the cutting force during machining process of thin workpieces, and then finite element software is applied for analyzing the deformation of thin workpieces under static condition. Taking MATLAB for formula fitting, the error matrix can be calculated, and then the cutting path can be modified. Finally through the form shaping function, the NC code with compensation can be generated by postprocessing. In order to evaluate the compensated results, the modified cutting paths are simulated by Vericut software, and the unloading process of thin workpieces after virtual processing is simulated by the finite element software, thus, the volumetric errors with modified cutting path can be generated. Through the evaluation system, the users can obtain the result to check if the precision of the workpiece meet the requirements or not, and regard the evaluation result as the basis for process planning.
    In this thesis, a system has been constructed for analyzing the volumetric errors of thin workpieces and compensate it. It can be applied for the process planning of multi-axis machining with thin workpiece. The system makes great improvements not only on the efficiency of the overall manufacturing process but also on the precision of the product.

    摘要 I ABSTRACT II 誌謝 IV 總目錄 V 表目錄 VIII 圖目錄 IX 符號說明 XIII 第一章 前言 1 1-1 概述 1 1-2 文獻回顧 2 1-2-1 工具機體積誤差分析與補償 2 1-2-2 薄工件加工之體積誤差分析與補償 4 1-3 研究目的與範疇 10 第二章 基礎理論 12 2-1 加工誤差 12 2-2 靜態銑削力模式 15 2-3 有限元素法介紹 18 2-4 座標轉換矩陣 20 2-5 工具機構形碼與形狀創成函數 22 第三章 系統核心理論 25 3-1 薄工件之體積誤差補償模式 25 3-1-1 薄工件變形誤差矩陣 25 3-1-2 考慮薄工件變形誤差矩陣之形狀創成函數 29 3-1-3 透過形狀創成函數補償體積誤差 30 3-2 系統分析流程 33 3-2-1 分析流程概述 33 3-2-2 薄工件加工之切削力模擬 35 3-2-3 有限元素分析薄工件加工之彈性變形 36 3-2-4 透過數學式擬合產生誤差矩陣 39 3-2-5 有限元素模擬薄工件卸載後之回彈情形 41 3-2-6 系統評估介面 43 3-2-7 系統分析總流程 45 第四章 薄工件之體積誤差補償系統分析實例 48 4-1 情境分析 48 4-2 系統分析實例 52 4-3 橈骨骨板之三軸虛擬加工實例分析 55 4-3-1 系統實作體積誤差之分析與補償 55 4-3-2 系統實作結果評估 70 4-4 橈骨骨板之五軸虛擬加工實例分析 74 4-4-1 系統實作體積誤差之分析與補償 74 4-4-2 系統實作結果評估 86 第五章 結果與討論 90 5-1 橈骨骨板之三軸虛擬加工實例分析與結果 90 5-1-1 應用本系統於橈骨骨板之虛擬加工前後之結果與比較 90 5-1-2 施加約束點於數學式擬合對補償效果之影響 94 5-2 橈骨骨板之五軸虛擬加工實例分析與結果 98 5-2-1 應用本系統於橈骨骨板之虛擬加工前後之結果與比較 98 5-2-2 施加約束點於數學式擬合對補償效果之影響 101 第六章 結論與建議 105 6-1 結論 105 6-2 建議 107 參考文獻 109

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