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TECHNICAL PAPERS

Width-Wise Variation of Magnetic Tape Pack Stresses

[+] 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(3), 358-369 (May 03, 2002) (12 pages) doi:10.1115/1.1460911 History: Received March 01, 2001; Revised November 22, 2001; Online May 03, 2002
Copyright © 2002 by ASME
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References

Figures

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Magnified view of a region in a magnetic tape pack exhibiting interlayer buckling
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(a) An axisymmetric hub that is also symmetric with respect to the pack’s midplane, and (b) model of the hub and tape layer substructures
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(a) An axisymmetric hub having no particular midplane symmetry, and (b) model of the hub and tape layer substructures
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Collocated point radial compliance of (a) the symmetric hub of Fig. 2, and (b) the asymmetric hub of Fig. 3
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Measured stress-strain response in compression of a magnetic tape stack over five loading cycles; sample dimensions: 102 mm×12.7 mm×12.7 mm
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Typical measured stress-strain response of a magnetic tape stack over a single load–unload cycle; sample dimensions: 102 mm×12.7 mm×12.7 mm
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(a) Variability of the measured bulk radial modulus for nine nominally identical media samples. (b) Measurements averaged over all samples (• • • •), and the least-squares fit to the modulus model (–); c=1.61×107 N/mm4.26 and m=3.26.
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Radial stress field in the symmetric hub case study. The insets depict the hub’s cross section and a contour representation of σr over the r−z plane; constant tension, NR=100,NZ=80.
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Circumferential stress field in the symmetric hub case study. The insets depict the hub’s cross section and a contour representation of σθ in the r−z plane; constant tension, NR=100,NZ=80
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Predicted change in tape width. The maximum value at the hub-tape interface is about 14 μm, or 1100 ppm.
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Radial stress field in the symmetric hub case study. The insets depict the hub’s cross section and a contour representation of σr in the r−z plane; linear cross-tape tension gradient, NR=100,NZ=80.
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Circumferential stress field in the symmetric hub case study. The insets depict the hub’s cross section and a contour representation of σθ in the r−z plane; linear cross-tape tension gradient, NR=100,NZ=80.
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Radial stress field in the symmetric hub case study. The insets depict the hub’s cross section and a contour representation of σr in the r−z plane; parabolic cross-tape tension gradient, NR=100,NZ=80.
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Circumferential stress field in the symmetric hub case study. The insets depict the hub’s cross section and a contour representation of σθ in the r−z plane; parabolic cross-tape tension gradient, NR=100,NZ=80.
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Radial stress distribution (a) in the down-tape direction at three positions across the width, and (b) across the tape’s width at the hub-tape interface; NZ=40 (○ ○ ○ ○) and NZ=80 (–). Shaded zones indicate where the solution did not converge to three significant figures.
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Radial stress field in the asymmetric hub case study. The insets depict the hub’s cross-section and a contour representation of σr in the r−z plane; constant tension, NR=100,NZ=80.
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Circumferential stress field in the asymmetric hub case study. The insets depict the hub’s cross section and a contour representation of σθ in the r−z plane; constant tension, NR=100,NZ=80.

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