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研究生:鄒國益
研究生(外文):Tzou, Gow Yi
論文名稱:應用切片法於非對稱板材軋延之研究
論文名稱(外文):Study on Asymmetrical Rolling of Sheets Using the Slab Method
指導教授:黃永茂
指導教授(外文):Hwang, Yeong Mow
學位類別:博士
校院名稱:國立中山大學
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:1995
畢業學年度:83
語文別:英文
論文頁數:340
中文關鍵詞:切片法非對稱軋延庫倫摩擦定剪摩擦混合摩擦滑移率
外文關鍵詞:Slab MethodAsymmetrical RollingCoulomb frictingShear
相關次數:
  • 被引用被引用:5
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本研究採用切片法提出一系列冷熱間板材非對稱軋延之解析模式,以探討
非對稱軋延時板材於滾隙內之應力場。在本研究內容中,主要分為三大部
份,第一部份為單層板材非對稱軋延之解析, 第二部份為複合板材非對稱
軋延之解析。 第三部份為單層板材非對稱軋延之實驗。使用本研究所提
出之解析模式比數值分析方法較為迅速,可容易地得到軋延壓力分佈、 剪
應力分佈、內彎矩分佈、各種複合板應力分佈、軋延負荷及軋延扭矩。同
時有系統地分析了滾輪周速比、摩擦係數比(或摩擦因子比)、滾徑比、壓
下率、複合板厚比、剪降伏應力比、前後方張力等加工條件對軋延壓力分
佈、 各種複合板之應力分佈、軋延負荷、軋延扭矩之影響。 再者,亦探
討了壓下率與滾輪周速比,或前後方張力之極限條件, 以確保有效地執行
軋延製程,並求出發生混合摩擦之極限摩擦係數及在滾輪間隙內開始及結
束固著摩擦之位置。 產生混合摩擦之各種軋延條件亦被詳細探討。 最
後,由預測之軋延負荷與量測之實驗值的比較,其合理之一致性可驗證所提
出之解析模式之可行性。 故所提出之解析模式可提供非對稱板材軋延製
程之有用的知識。
A series of analytical models using the slab method during
asymmetrical cold and hot rolling of sheets are proposed in
this study to investigate into the stress fields of sheets at
the roll gap. The contents of this study are divided into
three parts. The first part is the analysis of asymmetrical
sheet rolling, then th second part is that of clad sheet
rolling, and the third part is experiments on the asymmertrical
strip rolling. By these proposed analytical models, the rolling
pressure distributions, shear stress distributions, internal
moment distr- ibutions, various stress distributions of clad
sheet, rolling forces and rolling torques can be obtained
steadily and faster than those by the traditional numerical
method. Effects of roll speed ratio, frictional coefficient
ratio (or frictional factor ratio), roll radius ratio,
thickness reduction, thickness ratio of clad sheet, shear yield
stress ratio, front and back tensions, etc, upon the rolling
pressure distributions, various stress distributions of clad
sheet, rolling forces and rolling torques are analyzed
systematically. In addition, the limiting rolling conditions
between the reduction and roll speed ratio, or front and back
tensions, under which the rolling process can be succes- sfully
accomplished, are explored. Besides, the limiting fricti- onal
coefficient over which hybrid friction would occur and the
initial and ending positions for the sticking friction at the
roll gap are also analyzed. A variety of rolling conditions at
which hybrid friction occurs are discussed in detail. Finally,
from the comparison of rolling forces between the analytical
results and experimental measurements, reasonable agreement is
found and the validity of these proposed analytical models is
verified. These models can provide useful knowiedge in
designing the pass schedule of asymmetrical strips or sheets
rolling process.
Cover
ACKNOWLEDGEMENTS
LIST OF CONTENTS
ABSTRACT
LIST OF FIGURES
LIST OF TABLES
NOMENCLATURE
CHAPTERS 1. INTRODUCTION
1.1 PREFACE
1.2 ANALYSIS METHODS IN ROLLING PROCESS
1.2.1 Slip Line Method
1.2.2 Upper Bound Method
1.2.3 Slab Method
1.2.4 Finite Element Method
1.3 LITERATURE SURVEY
1.3.1 Asymmetrical Rolling of Sheet
1.3.2 Asymmetrical Rolling of Clad Sheet
1.3.3 Evaluations of Frictional Coefficient or Factor
1.4 THE OBJECTIVE OF PRESENT STUDY
1.5 THE STRUCTURE OF PRESENT STUDY
2. ASYMMETRICAL COLD STRIP ROLLING WITH COULOMB FRICTION (MODEL I)
2.1 MATHEMATICAL MODEL WITH COULOMB FRICTION
2.1.1 Formulation Without the Effect of Shear Stress
2.1.2 Boundary Conditions
2.1.3 Rolling Force
2.1.4 Rolling Torque
2.2 SPECIAL CASE
2.3 LIMITING CONDITIONS
2.4 RESULTS AND DISCUSSIONS
2.5 SUMMARY
3. ASYMMETRICAL STRIP ROLLING WITH SHEAR FRICTION (MODEL II)
3.1 MATHEMATICAL MODEL WITH SHEAR FRICTION
3.1.1 Formulation Without the Effect of the Shear Stress
3.1.2 Boundary Conditions
3.1.3 Rolling Force
3.1.4 Rolling Torque
3.2 LIMITING CONDITIONS
3.3 RESULTS AND DISCUSSIONS
3.4 SUMMARY
4. ASYMMETRICAL STRIP ROLLING UNDER THE CONSIDERATION OF HYBRID FRICTION (MODEL III)
4.1 MATHEMATICAL MODEL WITH HYBRID FRICTION
4.1.1 Formulation Combining Coulomb Friction With Sticking Friction
4.1.1.1 Coulomb friction model (Model I)
4.1.1.2 Sticking friction model (Model II)
4.1.1.3 Determination of the initial and ending points of sticking friction, Xsti( or Wsti) and Xste( or Wste)
4.1.1.4 Boundary conditions for case I
4.1.1.5 The prediction equation for neutral points
4.1.1.6 Boundary conditions for case II
4.2 LIMITING CONDITIONS
4.2.1 Limiting Conditions for Successful Rolling
4.2.2 Limiting conditions for the onset of hybrid friction
4.3 ROLLING FORCE
4.4 ROLLING TORQUE
4.5 RESULTS AND DISCUSSIONS
4.6 SUMMARY
5. ASYMMETRICAL HOT SHEET ROLLING WITH THE EFFECT OF THE SHEAR STRESS (MODEL IV)
5.1 MATHEMATICAL MODEL WITH STICKING FRICTION
5.1.1 Formulation With the Effect of the Shear Stress
5.1.2 Boundary Conditions
5.1.3 Rolling Force
5.1.4 Rolling Torque
5.2 LIMITING CONDITIONS
5.3 RESULTS AND DISCUSSIONS
5.4 SUMMARY
9. CONCLUDING REMARKS AND RECOMMENDATIONS
9.1 CONCLUSIONS
9.2 RECOMMENDATIONS FOR FUTURE WORK322 REFERENCES
APPENDIX A
APPENDIX B
VITA
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