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TECHNICAL PAPERS

Stress Field in Finite Width Axisymmetric Wound Rolls

[+] Author and Article Information
Y. M. Lee, J. A. Wickert

Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213-3890

J. Appl. Mech 69(2), 130-138 (Jun 05, 2001) (9 pages) doi:10.1115/1.1429934 History: Received October 02, 2000; Revised June 05, 2001
Copyright © 2002 by ASME
Topics: Stress , Tension
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References

Figures

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Schematic of a finite width wound roll comprising the inner core and wound web regions
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Collocated point radial compliance of (a) hollow cylindrical and (b) cup-shaped cores. The parameter values are as specified in Table 1 (plastic).
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Axisymmetric finite element model used to determine wound roll stresses σrθz, and σrz, shown illustratively for a hollow cylindrical core
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Comparison of the radial and circumferential stresses along centerline z=0 as determined through the present (–) and one-dimensional (-----; Hakiel 7) models. The parameter values are as specified in Table 1 (plastic, hollow core).
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Convergence of σr at points P1 and P2 in Fig. 3 for (a) plastic and (b) aluminum cores. The radial stress converges well along the roll’s centerline in each case, and at the edge of the core-web interface for the plastic material.
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Cross-web variation of σr along the core-web interface for hollow (a) plastic and (b) aluminum cores; NZ=80 (○○○○ ), and NZ=160 (–). The shaded zones in (b) denote regions where the stresses have not converged to three significant digits.
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Surface and contour representations of the radial and cross-web variation of σr;NR=100,NZ=80. The parameter values are as specified in Table 1 (plastic, hollow core).
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Surface and contour representations of the radial and cross-web variation of σθ;NR=100,NZ=80. The parameter values are as specified in Table 1 (plastic, hollow core).
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Radial and cross-web variations of (a) σz and (b) σrz;NZ=80 (surface) and NZ=160 (○○○○ ; first layer only). The parameter values are as specified in Table 1 (plastic, hollow core).
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Surface and contour representations of the radial and cross-web variation of σr;NR=100,NZ=80. The parameter values are as specified in Table 1 (plastic, cup-shaped core).
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Surface and contour representations of the radial and cross-web variation of σθ;NR=100,NZ=80. The parameter values are as specified in Table 1 (plastic, cup-shaped core).
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Variations of σr and σθ along the roll’s centerline with increasing numbers of web layers: 25 percent, 50 percent, and 100 percent of a full roll; NR=100,NZ=80. The parameter values are as specified in Table 1 (plastic, cup-shaped core).
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Radial and cross-web variations of σr and σθ with increasing numbers of web layers: 25 percent, 50 percent, and 100 percent of a full roll; NR=100,NZ=80. The parameter values are as specified in Table 1 (plastic, cup-shaped core).

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