Excessive coil deformation can complicate normal handling of a wound or rolled coil, cause difficulties in mass production, and introduce undesirable variations in the subsequent manufacturing processes. Four critical factors for coil deformation have been identified, i.e., radial stiffness of the coil material, winding tension, stiffness of the core which supports the coil, and lubrication. In this paper, we advance the understanding of coil deformation by developing an equivalent material model based on the internal stress distribution obtained from a two-dimensional winding-analysis model. The proposed material model is then implemented in a multi-layer finite element model to study the coil deformation under gravitational loading. This proposed framework can quantify the contribution of each factor in the coil deformation and thereby provide more scientific base in the engineering design process. The approach is used to analyze the deformation of laminate sheet coils.

Issue Section:
Technical Papers
Keywords:
coils, manufacturing processes, winding (process), lubrication, elastic constants, stress analysis, finite element analysis, sheet metal processing, Coil Deformation, Finite Element Analysis, “Soft Coil”, Laminate Sheet
Topics:
Deformation, Friction, Pressure, Stiffness, Stress, Stress analysis (Engineering), Tension, Winding (process), Laminates, Stress concentration, Creep
1.
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.
2.
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
.
3.
Hakiel
,
Z.
,
1987
, “
Nonlinear Model for Wound Roll Stresses
,”
Tappi J.
,
70
, pp.
113
–
117
.
4.
Benson
,
R. C.
,
1995
, “
A Nonlinear Wound Roll Model Allowing for Large Deformation
,”
ASME J. Appl. Mech.
,
62
, pp.
853
–
859
.
5.
Yagoda
,
H. P.
,
1980
, “
Resolution of a Core Problem in Wound Rolls
,”
ASME J. Appl. Mech.
,
47
, pp.
847
–
854
.
6.
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
.
7.
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
.
8.
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
.
9.
Cozjinsen, M., and Yuen, W. Y. D., 1996, “Stresses in Wound Rolls,” 2nd Biennial Australian Engineering Mathematics Conference, July, Sydney, Australia, pp. 117–124.
10.
Yuen
,
W. Y. D.
, and
Cozjinsen
,
M.
,
2000
, “
Optimum Tension Profiles to Prevent Coil Collapses
,” SEAISI Quarterly, July, pp. 50–59.
11.
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.
12.
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.
13.
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.
14.
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
.
15.
Li, S. P., and Cao, J., 2001, “Enhancement of Coil Stiffness Using a Cardboard Core,” ASME International Mechanical Engineering Congress & Exposition, ASME, New York.
16.
Popov, E. P., 1978, Mechanics of Materials, second edition, Prentice-Hall Inc.
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