壓延在板材厚度方面已經能夠精密控制，而各熱軋廠有精確的技術，但在板材寬度方面，還是無法掌握關鍵的重點。本文使用有限元素軟體DEFORM3D，在熱間軋延製程中精軋區的單一座精軋機，針對一般碳鋼熱間壓延進行模擬解析，包括滾輪的壓下力和薄板的應力、應變、寬度變化。主要探討板材經過壓延後，影響寬度變化的主因；利用數學回歸方法，針對每一個參數找出其預測式，將其統整並建立一個預測模組。第二部分，針對冷間壓延尺寸較小的薄板進行實驗和模擬解析，解析部份多探討了板寬在DEFORM 3D介面之擴寬行為，將寬度變形的狀態作細部的討論。最後對於壓延荷重和寬度擴展量來比較，驗證模擬解析之正確性。

Rolling technology can control the thickness precisely. But it isn’t available in width control. FEM software DEFORM 3D is adopted to simulate one stand of the hot finishing rolling process using carbon steel as sheet material. Stress, strain and width spread are discussed. Regression analysis is used to find an empirical equation for rolling load and width spread. Experiment and simulation of cold strip rolling using aluminum as sheet material are conducted,discussing the width spread and detail of width transformation in DEFORM 3D.From the comparisons between analytical and experimental width spread, the analytical model and prediction equation are validated.

摘要....................................................................................... IV
目錄........................................................................................VI
圖目錄................................................................................. VIII
表目錄.....................................................................................X
符號說明................................................................................XI
第一章 緒論........................................................................... 1
1-1 前言................................................................................. 1
1-2 熱軋廠製程簡介............................................................. 2
1-3 熱軋產品之應用............................................................. 3
1-4 壓延後板寬變化之影響原因......................................... 5
1-5 文獻回顧......................................................................... 7
1-5-1 張力控制系統對板寬變化之影響............................. 7
1-5-2 建立數學模組來控制寬度......................................... 8
1-5-3 使用有限元素法和塑性理論之解析......................... 9
1-6 研究目的...................................................................... 10
第二章 薄板壓延之有限元素分析.................................... 11
2-1 DEFORM 3D 軟體介紹.............................................. 11
2-2 薄板壓延有限元素模組之建立.................................. 12
2-3 模擬結果與討論.......................................................... 16
2-3-1 壓下率的影響........................................................... 20
2-3-2 初始板厚的影響....................................................... 22
2-3-3 初始板寬的影響....................................................... 23
2-3-4 前張力的影響........................................................... 25
2-3-5 後張力的影響........................................................... 26
2-3-6 溫度的影響............................................................... 28
2-4 潛變之影響探討.......................................................... 29
第三章 數學回歸方程預測模組........................................ 32
3-1 線性回歸方程式的推導.............................................. 32
3-2 各參數單獨之線性回歸預測式.................................. 33
3-2-1 各參數單獨對壓延荷重之線性回歸....................... 34
3-2-2 各參數單獨對寬度擴展率之線性回歸................... 38
3-2-3 潛變對寬度變化量之線性回歸............................... 42
3-3 數值回歸預測式之統整.............................................. 43
3-3-1 各參數對壓延荷重線性回歸之整合....................... 44
3-3-2 各參數對寬度擴展率線性回歸之整合................... 45
3-4 熱間壓延模擬值與預測模組之比較分析.................. 45
3-5 使用預測式之案件討論.............................................. 47
第四章 鋁板之壓延實驗.................................................... 50
4-1 鋁6061 之拉伸試驗.................................................... 50
4-2 實驗方法與步驟.......................................................... 53
4-2-1 壓延機規格說明....................................................... 53
4-2-2 實驗方法與步驟....................................................... 57
4-3 實驗結果與解析結果之比較...................................... 58
4-3-1 實驗參數設定........................................................... 58
4-3-2 冷間壓延模擬之討論............................................... 59
4-3-3 不同參數之解析值與實驗值比較........................... 65
4-3-3-1 針對壓延力量之比較........................................... 65
4-3-3-2 針對寬度擴展量之比較....................................... 67
第五章 結論........................................................................ 71
5-1 熱間壓延之有限元素分析.......................................... 71
5-2 冷間壓延值與模擬值之分析...................................... 72
參考文獻............................................................................. 73

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