利用VUB法分析自然邊界條件與材料加工硬化對圓環鍛粗的效應

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姓名

鞠傳隆(CHUAN-LUNG CHU) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

利用VUB法分析自然邊界條件與材料加工硬化對圓環鍛粗的效應

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摘要(中)

本文在於延伸變分上界限法(VUB)的應用性，進一步考慮同時滿足自然邊界條件（即摩擦應力條件）及材料加工硬化條件下，利用變分的方法最小化上界限能量方程式求解圓盤及圓環鍛粗加工問題。根據上述方法所獲得理論計值，除以圓環及圓盤鍛粗的實驗結果做驗證外，亦探討加工因素，如胚料與模具邊界的摩擦條件、半高度縮減率對圓盤、圓環鍛粗加工速度場、塑性變形場及等效應變場的影響。結果證實，同時考慮自然邊界條件及材料加工硬化條件下的UB法其預測鍛粗變形行為的能力的確是最好的。

摘要(英)

This article is to extend the applicability of the variational upper-bound method for the problem of upset forging of ring and cylinder by satisfying the natural boundary conditions (ie, the friction stress conditions) and accounting for material work-hardening characteristics. variational upper-bound solution can be determined by minimizing the upper-bound energy equation. Based on the above theoretical prediction, it is not only to verify by the experimental results of the ring and cylinder upset forging, but also to discuss the processing factors, such as the boundary friction conditions between the material and the mold, the half-height reduction rate of the disk and cylinder upsetting to affect the velocity field, the plastic deformation field and the equivalent strain field. The results confirm that taking into account the natural boundary conditions and material hardening characteristics of upper-bound method forecast upset forging deformation behavior is indeed the best.

關鍵字(中)

★ 圓環鍛粗
★ 變分上界限法
★ 材料加工硬化
★ 自然邊界條件

關鍵字(英)

★ variational upper-bound method
★ natural boundary condition
★ material work-hardening
★ upset forging

論文目次

摘要 i
ABSTRACT ii
誌謝 iii
目錄 iv
表目錄 vii
圖目錄 viii
符號索引 xiv
第一章緒論 1
1-1 前言 1
1-2 文獻回顧 2
1-3 研究動機及方法 6
1-4 論文架構 7
第二章基本理論介紹 8
2-1 上界限法原理 8
2-2 流函數理論 10
2-3 應變率場關係式推導 14
第三章圓環鍛粗加工之分析 16
3-1 問題定義 16
3-2 基本假設 17
3-3 速度場的性質 17
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 19
3-4-2 摩擦介面的功率消耗 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 動可容速度場 25
3-6-1 流函數的模式 25
3-6-2 速度場的建立 26
3-6-3 應變率場的建立 26
3-7 變分上界限解 27
第四章結果與討論 29
4-1 實驗驗證 30
(一) 校正曲線的實驗驗證 30
(二) 圓盤、圓柱桶脹的實驗驗證 30
(三) 圓環桶脹的實驗驗證 32
(四) 圓盤成形負荷的實驗驗證 33
4-2 理論計值的討論 33
(一) 速度場的比較 33
(二) 等效塑性應變場的比較 34
(三) 摩擦條件與半高縮減率對變形場的影響 34
第五章結論與建議 37
5-1 結論 37
5-2 建議 38
參考文獻 97
附錄A 變分的推導 102
附錄B 換算 116

參考文獻

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指導教授

葉維磬(Wei-Ching Yeh)

審核日期

2012-8-10

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