Contact mechanics in wrapping a thin-shell (tape/web) around a grooved cylindrical surface (roller) under tension is investigated. The problem is analyzed along the axial direction of the roller, and the effects of wrap-angle tape/web motion are neglected. Equations of equilibrium admit analytical solutions, but the problem is nonlinear due to the unknown nature of contact area. The tape bends into the grooves and makes contact over the lands. Three distinct contact states describe the interaction of the tape/web with respect to the lands. Nondimensional analysis shows that contact state depends on the width of the groove and the land, and the nondimensional belt-wrap pressure only modulates the amplitude of the deflected profile.

References

References
1.
“International Magnetic Tape Storage Roadmap 2012–2022,”
http://www.insic.org/news/2012Roadmap/12index.html
2.
Rice
,
B. S.
,
Cole
,
K. A.
, and
Müftü
,
S.
,
2002
, “
A Model for Determining the Asperity Engagement Height in Relation to Web Traction Over Non-Vented Rollers
,”
ASME J. Tribol.
,
124
(
3
), p.
584
.
3.
Ducotey
,
K. S.
, and
Good
,
J. K.
,
2000
, “
A Numerical Algorithm for Determining the Traction Between a Web and a Circumferentially Grooved Roller
,”
ASME J. Tribol.
,
122
(
1
), pp.
578
584
.
4.
Hashimoto
,
H.
, and
Nakagawa
,
H.
,
2001
, “
Improvement of Web Spacing and Friction Characteristics by Two Types of Stationary Guides
,”
ASME J. Tribol.
,
123
(
3
), p.
509
.
5.
Rice
,
B. S.
, and
Gans
,
R. F.
,
2005
, “
Predictive Models of Web-to-Roller Traction
,”
ASME J. Tribol.
,
127
(
1
), pp.
180
189
.
6.
Rice
,
B. S.
, and
Gans
,
R. F.
,
2003
, “
A Simple Model to Predict Web-to-Roller Traction
,”
Seventh International Conference on Web Handling
, Oklahoma State University, Stillwater, OK, pp.
201
221
.
7.
Stewart
,
A. M.
, and
Cole
,
K. A.
,
1996
, “
Roller With Contoured Surface for Conveying Ultrathin Webs and Apparatus Comprising Such a Roller
,” European Patent No. EP 0705786A2.
8.
Raeymaekers
,
B.
,
Etsion
,
I.
, and
Talke
,
F. E.
,
2007
, “
Enhancing Tribological Performance of the Magnetic Tape/Guide Interface by Laser Surface Texturing
,”
Tribol. Lett.
,
27
(
1
), pp.
89
95
.
9.
Tran
,
S. B. Q.
,
Yoo
,
Y. H.
,
Ko
,
J. H.
,
Kim
,
J.
,
Byun
,
D.
,
Lee
,
J. W.
,
Byun
,
Y. H.
, and
Shin
,
K. H.
,
2009
, “
Experimental and Numerical Study of Air Entrainment Between Web and Spirally Grooved Roller
,”
ASME J. Tribol.
,
131
(
2
), pp.
1
8
.
10.
Müftü
,
S.
, and
Jagodnik
,
J. J.
,
2004
, “
Traction Between a Web and a Smooth Roller
,”
ASME J. Tribol.
,
126
(
1
), pp.
177
184
.
11.
Müftü
,
S.
, and
Kaiser
,
D. J.
,
2000
, “
Measurements and Theoretical Predictions of Head/Tape Spacing Over a Flat-Head
,”
Tribol. Int.
,
33
(
5
), pp.
415
430
.
12.
Lacey
,
C.
, and
Talke
,
F.
,
1992
, “
Measurement and Simulation of Partial Contact at the Head/Tape Interface
,”
ASME J. Tribol.
,
114
(
4
), pp.
646
652
.
13.
Müftü
,
S.
,
2003
, “
Tape Mechanics Over a Flat Recording Head Under Uniform Pull-Down Pressure
,”
Microsyst. Technol.
,
9
(
8
), pp.
546
554
.
14.
Müftü
,
S.
, and
Benson
,
R.
,
1996
, “
A Study of Cross-Width Variations in the Two-Dimensional Foil Bearing Problem
,”
ASME J. Tribol.
,
118
(
1
), pp.
407
414
.
15.
Müftü
,
S.
, and
Cole
,
K. A.
,
1999
, “
The Fluid-Structure Interaction in Supporting Thin Flexible Cylindrical Web With an Air Cushion
,”
ASME J. Fluids Struct.
,
13
(
1
), pp.
681
708
.
16.
Müftü
,
S.
,
2007
, “
Mechanics of a Thin, Tensioned Shell, Wrapped Helically Around a Turn-Bar
,”
J. Fluids Struct.
,
23
(
5
), pp.
767
785
.
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