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TECHNICAL PAPERS

A General Velocity Field for Shape Rolling of a V-Sectioned Sheet

[+] Author and Article Information
Yeong-Maw Hwang, Hung-Jiun Lin, J. R. Chen

Department of Mechanical Engineering, National Sun Yat-Sen University, Kaohsiung, Taiwan 804, Republic of China

J. Manuf. Sci. Eng 122(1), 227-234 (Mar 01, 1999) (8 pages) doi:10.1115/1.538899 History: Received June 01, 1998; Revised March 01, 1999
Copyright © 2000 by ASME
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References

Fukuda,  H., 1991, “Manufacturing and Application for Profiled Strips with High Precision,” J. Jpn. Soc. Technol. Plasticity, 32, pp. 452–457.
Saito, Y., 1990, “Shape Rolling by Satellite Mill,” The 128th Symposium for Technology of Plasticity, pp. 59–67. (in Japanese)
Horihata, M., 1990, “Shape Rolling by 3-Roll Mill,” The 128th Symposium for Technology of Plasticity, pp. 69–74. (in Japanese)
Fukuda,  H., 1980, “New Method for Cold-rolling the Step-Sectioned Strip,” J. Inst. Iron Steel Jpn., 66, pp. 558–564. (in Japanese)
Nagpal,  V., Billhardt,  C. F., and Altan,  T., 1979, “Lubricated Extrusion of ‘T’ Sections from Aluminum, Titanium and Steel Using Computer-Aided Techniques,” ASME J. Eng. Ind., 101, pp. 319–324.
Mori,  K., and Osakada,  K., 1990, “Finite Element Simulation of Three-Dimensional Deformation in Shape Rolling,” Int. J. Numer. Methods Eng., 30, pp. 1431–1440.
Park,  J. J., and Oh,  S. I., 1990, “Application of Three Dimensional Finite Element Analysis to Shape Rolling Processes,” ASME J. Eng. Ind., 112, pp. 36–46.
Yang,  D. Y., Kim,  K. H., and Hawkyard,  J. B., 1991, “Simulation of T-section Profile Ring Rolling by the 3-D Rigid-plastic Finite Element Method,” Int. J. Mech. Sci., 33, pp. 541–550.
Saito, Y., Kusumoto, Y., Hattori, T., and Kato, K., 1984, “Deformation Analysis in Shape Rolling Using an Upper Bound Method,” Adv. Technol. Plasticity, pp. 1190–1199.
Nagpal, V., 1977, “On The Solution of Three Dimensional Metal Forming Process,” ASME J. Eng. Ind., , pp. 624–629.
Barata Marques,  M. J. M., and Martins,  P. A. F., 1991, “The Use of Dual-Stream Functions in the Analysis of Three-Dimensional Metal Forming Process,” Int. J. Mech. Sci., 33, pp. 313–323.
Avitzur, B., 1980, Metal Forming–The Application of Limit Analysis, Marcel-Dekker, New York.
Rao, S. S., 1984, Optimization: Theory and Application, 2nd Ed., Wiley, New Delhi, India, pp. 292–300.
Hwang,  Y. M., and Tzou,  G. Y., 1997, “Analytical and Experimental Study on Asymmetrical Sheet Rolling,” Int. J. Mech. Sci., 39, pp. 289–303.
Kobayashi, S., Oh, S. I., and Altan, T., 1989, Metal Forming and the Finite Element Method, Oxford University Press, New York, p. 32.

Figures

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Schematic illustration of the geometry relation at the roll gap for one half section of the sheet
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Optimized velocity fields in V-sectioned shape rolling: (a) perspective drawing of the geometry of the sheet at the roll gap, (b) velocity field on x-y plane, (c) velocity field on x-y plane
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Perspective drawing of an optimized velocity field in shape rolling
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Schematic illustration of the mathematical model for V-sectioned shape rolling in x-z plane
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Effects of the reduction upon the filling ratio
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Effects of the reduction upon the width spread ratio
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Effects of the reduction upon the rolling force
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Effects of the friction factor upon the filling ratio
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Effects of the friction factor upon the width spread ratio
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Comparison of the calculated filling ratio with experimental results
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Comparison of the calculated width spread ratio with experimental results
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Comparison of the calculated rolling force with experimental results

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