The foil bearing problem, common to magnetic tape recording, is modeled through numerical simulation. The emphasis is on the effects of cross-width changes in the system parameters. Air lubrication is modeled using the Reynolds equation including the first-order slip correction terms and compressibility. A segmented structural model is introduced for the tape displacements where the tape is modeled as a cylindrical shell in the wrap zone and as a plate in the straight segments between the guide pins and the tangency points. Tape inertia and transport effects are included by using the material time derivative of the displacements. An explicit time integration method is used for the tape equation in order to obtain a faster transient coupling algorithm. The Reynolds equation is solved with the alternating direction implicit (ADI) integration method. The effects of axial tape tension, guide shape variations and the tape width on the steady-state tape-guide separation are investigated. It is shown that small axial variations on the parameters mentioned can lead to important and unintended variations in tape-guide separation.

1.
Barlow, E. J., July, 1967, “Derivation of Governing Equations for Self Acting Foil Bearing,” ASME JOURNAL OF LUBRICATION TECHNOLOGY, pp. 334–340.
2.
Bhushan, B., 1990, Tribology and Mechanics of Magnetic Storage Devices, Springer-Verlag, NY.
3.
Eshel
A.
,
1969
, “
The Propagation of Disturbances in the Infinitely Wide Foil Bearing
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
91
, p.
120
120
.
4.
Fujimoto, K., Nagaoka, E., Watanabe, S., and Kawakami, K., 1993, “Tape Deformation Analysis Considering In-Plane Stress,” Proceedings of the 1993 JSME International Conference on Advanced Mechatronics, Tokyo, Japan, Aug., pp. 905–910.
5.
Fung
Y. C.
, and
Wittrick
W. H.
,
1955
, “
A Boundary Layer Phenomenon in the Large Deflexion of Thin Plates
,”
Quart. Journ. Mech. and Applied Math.
, Vol.
8
, pp.
191
210
.
6.
Granzow, G. D., and Lebeck, A. O., 1984, “An Improved One-Dimensional Foil Bearing Solution,” ASLE, SP-16, pp. 54–58.
7.
Greenberg
H. J.
,
1979
, “
Study of Head-Tape Interaction in High Speed Rotating Head Recording
,”
IBM Journal of Research and Development
, Vol.
23
, p.
197
197
.
8.
Hamrock, B. J., 1994, Fundamentals of Fluid Film Lubrication, McGraw-Hill, NY.
9.
Heinrich
J. C.
, and
Connolly
D.
,
1992
, “
Three-Dimensional Finite Element Analysis of Self-Acting Foil Bearings
,”
Computer Methods in Applied Mechanics and Engineering
, Vol.
100
, pp.
31
43
.
10.
Hughes, T. J. R., 1987, The Finite Element Method; Linear Static and Dynamic Finite Element Analysis, Prentice-Hall, NJ.
11.
Kotera, H., Kita, H., Mizoh, Y., and Yohda, H., 1993, “Finite Element Analysis of visco-elastic Frictional Phenomena in VTR,” Private communication.
12.
Lacey, C. A., 1992, “The Head/Tape Interface,” PhD. thesis, University of California, San Diego.
13.
Mizoh
Y.
,
Yohda
H.
,
Kita
H.
, and
Kotera
H.
,
1992
, “
Simulation of Head Wear and Reproduction Envelope by the Finite Element Method
,”
Electronics and Communications in Japan
, Part 2, Vol.
75
, no.
11
, pp.
91
100
.
14.
Mu¨ftu¨
S.
, and
Benson
R. C.
,
1994
a, “
A Numerical Solution for the Transient Displacement of a Circumferentially Moving Cylindrical Shell
,”
ASME Journal of Vibration and Acoustics
, Vol.
116
, pp.
567
572
.
15.
Mu¨ftu¨, S., 1994b, “The Transient Foil Bearing Problem in Magnetic Recording,” Ph. D. Thesis, University of Rochester, Rochester, NY.
16.
Rongen, P. M. J., 1990, “On Numerical Solutions of the Instationary 2D foil Bearing Problem,” ASLE SP-29, pp. 130–138.
17.
Stahl, K. J., White, J. W., and Deckert, K. L., 1974, “Dynamic Response of Self Acting Foil Bearings,” IBM Journal of Research and Development, pp. 513–520.
18.
Vogel, S. M., and Groom, J. L., 1974, “White Light Interferometry of Elastohydrodynamic Lubrication of Foil Bearings,” IBM Journal of Research and Development, pp. 521–528.
19.
White
J. W.
, and
Nigam
A.
,
1980
, “
A Factored Implicit Scheme for the Numerical Solution of the Reynolds Equation at Very Low Spacing
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
102
, pp.
80
85
.
20.
Wolf
B.
,
Deshpande
N.
, and
Castelli
V.
,
1983
, “
The Flight of Finite Width Foil Bearings
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
105
, pp.
138
142
.
21.
Yoneda
K.
, and
Sawada
T.
,
1988
, “
Simulation of Tape Flying Characteristics Above VTR Drum Considering In-Plane Stresses
,”
IEEE
, Vol.
24
, No.
6
, pp.
2766
2768
.
This content is only available via PDF.
You do not currently have access to this content.