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TECHNICAL PAPERS

A Hybrid Approach for Quantifying the Winding Process and Material Effects on Sheet Coil Deformation

[+] Author and Article Information
Shunping Li, Jian Cao

Department of Mechanical Engineering, Northwestern University, Evanston, IL

J. Eng. Mater. Technol 126(3), 303-313 (Jun 29, 2004) (11 pages) doi:10.1115/1.1753265 History: Received June 10, 2003; Revised February 17, 2004; Online June 29, 2004
Copyright © 2004 by ASME
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References

Becker, B. J., 1997, “A Systems Approach to Reducing Winding Defects at Alcoa-Warrick Operations,” Proceedings of the International Conference on Web Handling, pp. 102–114.
Altman,  H. C., 1968, “Formulas for Computing the Stresses in Center-Wound Rolls,” Journal of the Technical Association of Paper and Pulp Industry,51, pp. 176–179.
Hakiel,  Z., 1987, “Nonlinear Model for Wound Roll Stresses,” Tappi J., 70, pp. 113–117.
Benson,  R. C., 1995, “A Nonlinear Wound Roll Model Allowing for Large Deformation,” ASME J. Appl. Mech., 62, pp. 853–859.
Yagoda,  H. P., 1980, “Resolution of a Core Problem in Wound Rolls,” ASME J. Appl. Mech., 47, pp. 847–854.
Willett,  M. S., and Poesch,  W. L., 1988, “Determining the Stress Distributions in Wound Reels of Magnetic Tape Using a Nonlinear Finite-Difference Approach,” ASME J. Appl. Mech., 55, pp. 365–371.
Qualls,  W. R., and Good,  J. K., 1997, “Orthotropic Viscoelastic Winding Model Including a Nonlinear Radial Stiffness,” ASME J. Appl. Mech., 64, pp. 201–208.
Zabaras,  N., Donaldson,  N., and Donaldson,  E., 1994, “Hypo-Elastic Model for Computing the Stresses in Center-Wound Rolls of Magnetic Tape,” ASME J. Appl. Mech., 61, pp. 290–295.
Cozjinsen, M., and Yuen, W. Y. D., 1996, “Stresses in Wound Rolls,” 2nd Biennial Australian Engineering Mathematics Conference, July, Sydney, Australia, pp. 117–124.
Yuen,  W. Y. D., and Cozjinsen,  M., 2000, “Optimum Tension Profiles to Prevent Coil Collapses,” SEAISI Quarterly, July, pp. 50–59.
Hakiel, Z., 1992, “On the Effect of Width Direction Thickness Variations in Wound Rolls,” Second International Conference on Web Handling, Oklahoma State University, pp. 79–88.
Kedl, D. M., 1992, “Using a Two-Dimensional Model to Predict Wound Roll Stresses That Occur Due to Circumferential Steps in Core Diameter or to Cross-Web Caliper Variation,” Second International Conference on Web Handling, Oklahoma State University, pp. 99–112.
Cole, A., and Hakiel Z., 1992, “A Nonlinear Wound Roll Model Accounting for Widthwise Web Thickness Non-Uniformities,” Web Handling, ASME AMD-149, New York, pp. 13–24.
Lee,  Y. M., and Wickert,  J. A., 2002, “Stress Field in Finite Width Axisymmetric Wound Rolls,” ASME J. Appl. Mech., 69(2), pp. 130–138.
Li, S. P., and Cao, J., 2001, “Enhancement of Coil Stiffness Using a Cardboard Core,” ASME International Mechanical Engineering Congress & Exposition, ASME, New York.
Popov, E. P., 1978, Mechanics of Materials, second edition, Prentice-Hall Inc.

Figures

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Coil defects: (a) soft coil; and (b) buckling at inner surface
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General approach to analyze coil deformation
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Schematic of the compression test
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Obtained radial stiffness Er versus radial pressure
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Repeatability of the compression tests
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Models to characterize radial stiffness
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A relaxation test with the initial compressive stress of σ0=7.21 MPa
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Stress and geometrical notations of a coil
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Computed results of interlayer pressure: (a) Case 1; and (b) Case 2 with experiment data
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Comparison between linear and nonlinear models: (a) radial stress after wrapping; and (b) radial stress after mandrel removal
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Effects of radial stiffness Er on stress distribution after wrapping: (a) radial pressure; and (b) tangential tension
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Effects of radial stiffness er on stress distribution after mandrel removal: (a) residual pressure; and (b) residual tangential stress
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Effect of tension on stress distribution after mandrel removal: (a) residual pressure; and (b) residual tangential stress
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Effect of core stiffness Ec on residual stress: (a) residual pressure; and (b) residual tangential stress
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Creep effects on interlayer
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Multilayer model according to pressure distribution: (a) multi-layer model; (b) deformed shape; and (c) division according pressure distribution
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Compression test to determine cardboard properties: (a) Cardboard compression; and (b) Load curves of cardboard
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Illustration of friction test set
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Effects of winding tension and friction
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The effect of creep on id change

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