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研究生： 洪嘉駿
Jia-Jyun Hong
論文名稱： 以鍛粗加工實驗驗證變分上界限法
Experimental Verification of The Variational Upper-Bound Method Using Upset forging Tests
指導教授： 葉維磬
Wei-Ching Yeh
口試委員:
學位類別： 碩士
Master
系所名稱： 工學院 - 機械工程學系
Department of Mechanical Engineering
畢業學年度： 95
語文別： 中文
論文頁數： 104
中文關鍵詞： 鍛粗 、上界限法 、變分 、摩擦
外文關鍵詞： Upper-Bound Method, Variational, Upsetting, friction
相關次數： 點閱：11  下載：0 
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    • 本文以鋁6061圓棒為試片材料，做一系列鍛粗加工實驗，藉由蝕刻在試片表面的網格節點的位移觀察經鍛粗後的材料塑性變形行為，包含接觸界面的摩擦係數（Friction）與桶脹輪廓（Bulging）的量測。本文所採用之試片幾何形狀，包含圓柱狀與圓環狀。本文之量測主要係將鍛粗後之試片置於CCD工具顯微鏡下，經高倍率放大後配合精密的X-Y平台以量測網格節點的座標位置。根據網格節點在鍛粗成形前、後的位置座標可進一步計算出材料變形過程的流動速度場以及桶脹變形的程度。本文利用鍛粗加工實驗所得到的實驗數據，做為驗證變分上界限法及傳統上界限法，在處理鍛粗加工問題的妥適性。

    In this study, the materials of specimen were Al 6061 in the form of cylindrical and ring for a series of upsetting experiments. The plastic deformation behavior including the friction in the contact interface and measurement of bulging was observed the displacement by etching the nodes of the mesh on the surface of the specimen. The CCD and the X-Y platform were used for mseasuring the geometry coordinate of the nodes. Fluid velocity field during the deformation of material and bulging were observed by calculating the geometry coordinate of nodes of the mesh. The purpose of this study was to verify the appositeness of Variational Upper-Bound Method and Traditional Upper-Bound Method for the upsetting experiment by using the experimental data.

    中文摘要 ………………………………………………………………i 英文摘要 ．……………………………………………………………ii 誌謝 ．．…………………………………………………………iii 目錄 ．……………………………………………………………iv 表目錄 ．．…………………………………………………………vii 圖目錄 ．．．………………………………………………………viii 符號說明 ．．…………………………………………………………xii 第一章 緒論 1-1前言 ……………………………………………………1 1-2研究動機與目的 ……………………………………………………2 第二章 文獻回顧 2-1摩擦的問題 ．…………………………………………………4 2-1-1摩擦係數的量測之原理與應用 ……………………………4 2-1-2實驗方法、討論 ……………………………………………5 2-2蝕刻的發展與應用 ………………………………………………11 2-3鍛粗實驗 ………………………………………………12 2-4上界限法解析 ………………………………………………13 第三章 變分上界限法理論 3-1 模式說明 …………………………………………………15 3-2 基本假設 …………………………………………………16 3-3 流函數、速度場、應變率場的建立 ……………………………16 3-4 上界限成形功率消耗 ……………………………………………18 3-4-1 塑性變形區的功率消耗 …………………………………18 3-4-2 摩擦界面的功率消耗 ……………………………………19 3-4-3 圓環鍛粗加工總功率消耗 ………………………………20 3-5 平衡方程式及自然邊界條件 ……………………………………21 3-6 變分上界限解 ………………………………………………25 第四章 實驗設備，方法與步驟 4-1實驗設備 ．………………………………………………26 4-2 試片設計與製作 ．………………………………………………26 4-2-1 機械性質測試-MTS拉伸試驗 …………………………27 4-3熱處理 ．………………………………………………28 4-4網格蝕刻 ．………………………………………………29 4-5鍛粗加工實驗 ．………………………………………………31 4-6潤滑條件 ．………………………………………………31 4-7數據截取 ．………………………………………………31 4-8量測 ．………………………………………………32 4-8-1網格量測 ．……………………………………………32 4-8-2桶脹輪廓量測……………………………………………33 第五章 結果與討論 5-1拉伸試驗－試片材料的機械性質…………………………………35 5-2環壓試驗-摩擦因子測定 …………………………………………35 5-2-1乾摩擦 ………………………………………………36 5-2-2 濕摩擦 ………………………………………………37 5-3 鍛粗實驗 ………………………………………………37 5-3-1圓環鍛粗 ………………………………………………38 5-3-2圓柱鍛粗 ………………………………………………38 5-4 表面節點流動速度 ．……………………………………………39 5-5鍛粗實驗與理論桶脹輪廓之比較 ………………………………40 5-5-1 圓環桶脹輪廓之比較 ……………………………………41 5-5-2 圓柱桶脹輪廓之比較 ……………………………………41 第六章 結論與建議 6-1 結論 ……………………………………………43 6-2 未來研究方向 ……………………………………………43 參考文獻 ……………………………………………45 附錄 ……………………………………………46

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