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TECHNICAL PAPERS

Mechanics of Die-less Asymmetric Rolling for Fabrication of Compound Curved Plates

[+] Author and Article Information
Jong-Gye Shin, Yang-Ryul Choi

Dept. of Naval Architecture and Ocean Engineering, Seoul National University, Seoul, 151-742, Korea

Hyunjune Yim

Dept. of Mechanical Engineering, Hongik University, Seoul, 121-791, Korea

J. Manuf. Sci. Eng 125(4), 787-793 (Nov 11, 2003) (7 pages) doi:10.1115/1.1616950 History: Received August 01, 2002; Revised May 01, 2003; Online November 11, 2003
Copyright © 2003 by ASME
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References

Lee, J. H., 1999, “Relations between Input Parameters and Residual Deformations in Line Heating Process Using Finite Element Method and Multi-Variate Analysis,” Ph.D. Thesis, Dept. of Naval Arch. & Ocean Eng., Seoul National University, Seoul, Korea.
Holbrook,  R. L., and Zorowski,  C. F., 1966, “Effects of Nonsymmetry in Strip Rolling on Single-roll Drive Mills,” ASME J. Ind., 88, pp. 401–409.
Hwang,  Y. M., and Tzou,  G. Y., 1995, “An Analytical Approach to Asymmetric Hot-Sheet Rolling Considering the Effects of the Shear Stress and Internal Moment at the Roll Gap,” J. Mater. Process. Technol., 52, pp. 399–424.
Hwang,  Y. M., and Tzou,  G. Y., 1997, “Analytical and Experimental Study on Asymmetrical Sheet Rolling,” Int. J. Mech. Sci., 39(3), pp. 289–303.
Dewhurst,  P., Collins,  I. F., and Johnson,  W., 1974, “A Theoretical and Experimental Investigation into Asymmetrical Hot Rolling,” Int. J. Mech. Sci., 16, pp. 389–397.
Pietrzyk, M., Wilk, K., Pillinger, I., and Hartley, P., 1996, “Validation of Finite Element Models for Asymmetric Rolling,” 2nd International Conference on Modeling of Metal Rolling Processes, London, UK, pp. 432–441.
Rady, E. F., 1992, “Mechanics of Die-less Forming of Doubly Curved Metal Shells,” Ph.D. Thesis, Dept. of Ocean Engineering, M.I.T., Cambridge, Massachusetts.
Kobayashi, S., Oh, S. I., and Altan, T., 1989, Metal Forming and the Finite Element Method, Oxford University Press.

Figures

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Die-less asymmetric rolling: (a) initial setup, and (b) rolling process
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Geometry of deformation in two-dimensional problem
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Free body diagram of an infinitesimal slab element
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Distribution of bending moment computed from analytical model
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Compound curvature generated due to roller radius asymmetry
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Procedure of finite element analysis
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Comparisons of numerical and experimental results for average residual radius of curvature: (a) for various ratios of roller radii, and (b) for various ratios of roller velocities
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Three-dimensional problem analyzed using finite element method
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Vertical displacement, uz, along Section A-A: (a) for various cases of roller radius asymmetry, and (b) for various cases of roller width asymmetry
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Deformed shape of plate computed through three-dimensional finite element analysis
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Distribution of normal strain, εyy, along Section A-A
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Vertical displacement, uz, along Section B-B
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Distribution of normal strain, εxx, along Section B-B

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