摘要
本文主要是利用實驗探討板材經非對稱壓延加
工後， 其彎曲的曲率、輥輪壓延力及輥輪扭矩和板
材壓下率的變化情形。非對稱壓延主要是以同徑異
週速為主， 加上入口角度變化及乾摩擦、濕摩擦等
條件進行實驗。
實驗結果發現， 壓延力及扭矩皆與縮減率、入
口角度成正比關係， 且和週速比成反比關係。在濕
摩擦狀態下也有相同的情形， 然在相同縮減率下，
濕摩擦所產生的壓延力及扭矩較乾摩擦小。曲率方
面， 曲率變化主要是隨著壓下率有週期性振盪的波
形。

Summary
The paper is a research with experiment to inquire into the variety of curvature, loading, torque and reduction after sheet is prsessed by asymmetrical rolling. The asymmetrical rolling mainly takes asymmetrical rolling as principle to experiment with the variety of entry angular and the conditions of dry, lubrication and etc.
In the experiment result, we can find loading and torque are direct proportioned to reduction and entry angular, but they are inverse proportioned to the ratio of the peripheral velocities of the upper roll and the lower roll. There is the same situation under the condition of lubrication, too. However, under the same reduction, loading and torque produced by lubrication are smaller than by dry.In curvature, the variety of it changing with reduction is wave of oscillation of a cycle.

參考文獻
[1] W. Johnson and G. Needham, "An Experimental Study of Asymmetrical
Rolling," Applied Mechanics Convention, Cambridge, Instn. Mech.
Engrs. Vol. 180, p.270-281, April, 1966.
[2] W. Johnson and G. Needham, "Further Experiments in Asymmetrical
Rolling," Int. J. Mech. Sci., Vol. 8, p.443-455, 1966.
[3] P. Dewhurst, I. F. Collins and W. Johnson, "A Theoretical and
Experimental Investigation into Asymmetrical Hot Rolling," Int.
J. Mech. Sci., Vol. 16, p.389-397, 1974.
[4] I. F. Collins and P. Dewhurst, "A Slipline Field Analysis of
Asymmetrical Hot Rolling", Int. J. Mech. Sci., Vol. 17, p.643-651,
1975.
[5] N. Kamii and R. Terakado, "Study of the Rolling-Method of Hot
Finishing Tandem Mill by Rolls with Different Diameters," J. JSTP,
Vol. 17, p.966-972, 1976.
[6] K. Nakajima et al., "An Investigation of Rolling Property by
Rolling Experiment in Asymmetrical Strip Rolling," Proc. s-53
Sp. Conf. of JSTP, p.25-28, 1978.
[7] K. Nakajima and H. Yamamoto, "Effects of Frictional Coefficient
on Asymmetrical Strip Rolling," Proc. the 31th Joint Conf. of
JSTP, p.451-454, 1980.
[8] D. Pan and D. H. Sansome, "An Experimental Study of the Effect
of Roll Speed Mismatch on the Rolling Load during the Cold Rolling
of the Thin strip," Journal of Mechanical Working Technology,
Vol. 6, p.361-377, 1982.
[9] J. Pospiech, "A Note on the Influence of Some Factors Affecting
Curvature in the Flat Rolling of strip," Journal of Mechanical
Working Technology, Vol. 15, p.69-80, 1987.
[10] K. Narita et al., "The Characteristics of Curvature in
Asymmetrical Cold Rolling," Proc. s-63 Sp. Conf. of JSTP,
p.241-244, 1988.
[11] M. I. Ghobrial, "A Photoelastic Investigation on the Contact
Stresses Developed in Rolls during Asymmetrical Flat Rolling,"
Int. J. Mech. Sci., Vol. 31, p.751-764, 1989.
[12] 黃永茂，陳騰輝, "應用流線函數法於板材非對稱壓延之解析," 第十
七屆全國力學會議, p.1063-1069, 1993.
[13] 黃永茂，徐宏修, "應用流線函數法於壓延加工之研究－單層板非對
稱壓延速度場之修正," 第十九屆全國力學會議, p.171-178, 1995.
[14] A. B. Richelsen, "Numerical Analysis of Asymmetric Rolling
Accounting for Difference in Friction," J. Mater. Process.
Technol., Vol. 45, p.149-154, 1994.
[15] H. Dyja et al., "Theoretical and Experimental Analysis of Plates
Asymmetric Rolling," J. Mater. Process. Technol., Vol. 45,
p.167-172, 1994.
[16] Gow-Yi Tzou, "Analytical and experimental study on asymmetrical
sheet rolling"Int.J.Mech.Sci. Vol. 39,No3.pp. 289-303 , 1997.
[17] J.-S.Lu,O.-K.Harrer*,W.Schwenzfeier, F.D.Fischer,"Analysis
of the bending of the rolling material inasymmetrical sheet
rolling"International Journal of Mechanical Sciences pp.49-61,
1998.
[18] Gow-Yi Tzou, "Relationship between frictional coefficient and
frictional factor in asymmetrical sheet rolling",Journal of
Materials processing Technology,pp. 271-277,1999.
[19] M. Salimia, F. Sassanib"Modifed slab analysis of asymmetrical
plate rolling",International Journal of Mechanical Sciences 44 ,
pp.1999–2023, 2002.
[20] M. Salimi, M. Kadkhodaei, "Slab analysis of asymmetrical sheet
rolling",Journal of Materials Processing Technology 150 ,
pp.215–222, 2004.
[21] C.W.Knight, S.J.Hardy, A.W.Lees, K.J.Brown, "Investigations
into the influence of asymmetric factors and rolling parameters
on strip curvature during hot rolling",Journal of Materials
processing Technology 134,pp.180-189,2003.
[22] O. Hoffman and G. Sachs, "Introduction to the Theory of
Plasticity for Engineers," Fig. 19.1, McGraw-Hill Book Company,
New York, 1953.
[23] N. Bay, et al., "Cross Shear Roll Bonding," J. Mater. Process.
Technol., Vol. 45, p.1-6, 1994.
[24] T. Kawanami et al., "Effects of Work Roll Diameters, Driving
Method and Strip Bending on Characteristics of Rolling with
Different Work Roll Diameters," J. JSTP, Vol. 26, p.519-526,
1985.
[25] 產業板材輥軋加工，復漢出版社。
[26] Ekelund S., "The Analysis of Fators Influencing Rolling
Pressure and Power Consumption in the Hot Rolling of Sheet",
Steel, 93, 1993, P27-29, translated form Jernkontorets Ann. 1927,
Vol. 111,p.39, and 1928, Vol. 112,p.67.
[27] Designation：E8M-91, Standard Test Methods for Tension Testing
of Metallic Materials [Metric], p.150-168.
[28] W. F. Hosford and M. C. Caddell, "Metal forming Mechanics and
Metallurgy," Prentice-Hall International, Inc. p.55-60, 1993.
[29] K. Narita et al., "The Characteristics of Curvature in
Asymmetrical Cold Rolling," Proc. s-63 Sp. Conf. of JSTP,
p.241-244, 1988.