0
Research Papers: Contact Mechanics

Contact Mechanics of a Thin, Tensioned, Translating Tape With a Grooved Roller

[+] Author and Article Information
Tuğçe Kaşıkcı

Department of Mechanical Engineering,
Northeastern University,
Boston, MA 02115
e-mail: tugce.kasikci@gmail.com

Ming-Chih Weng

Quantum Corporation,
141 Innovation Drive,
Irvine, CA 92617
e-mail: mingchih.weng@gmail.com

Ash Nayak

Quantum Corporation,
141 Innovation Drive,
Irvine, CA 92617
e-mail: 001ash.nayak@gmail.com

Turguy Goker

Quantum Corporation,
141 Innovation Drive,
Irvine, CA 92617
e-mail: turguy.goker@quantum.com

Sinan Müftü

Professor
Fellow ASME
Department of Mechanical Engineering,
Northeastern University,
Boston, MA 02115
e-mail: s.muftu@neu.edu

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received September 7, 2016; final manuscript received April 26, 2017; published online August 16, 2017. Assoc. Editor: Stephen Boedo.

J. Tribol 140(1), 011405 (Aug 16, 2017) (10 pages) Paper No: TRIB-16-1286; doi: 10.1115/1.4037067 History: Received September 07, 2016; Revised April 26, 2017

Traction between a thin tensioned tape and a grooved roller could be significantly affected by lubrication effects that stem from the air entrainment into the tape–roller interface. An experimental and theoretical investigation was carried out to investigate the tape contact with a grooved roller. The tape-to-roller spacing was measured in a modified tape drive at various operational speed and tension values. The experiments showed that increasing tape tension and tape speed causes the tape-to-land spacing to increase. This unusual result is shown to be due to the tape bending laterally into the grooves. The effects of air entrainment on tape deflection and contact with a land is modeled by using shell theory, air lubrication, and contact mechanics. A relatively wide range of design parameters (groove width, land width) and device parameters (velocity and tension) were simulated to characterize the traction of a thin tape over a grooved roller. It was shown that air lubrication effects reduce the contact force; however, the underlying effects of tape mechanics are not entirely eliminated. This work shows that in order to characterize the mechanics of thin tape over grooved rollers, the tape deflection in the lateral direction should be included in the analysis.

FIGURES IN THIS ARTICLE
<>
Copyright © 2018 by ASME
Your Session has timed out. Please sign back in to continue.

References

Gantz, J. , and Reinsel, D. , 2012, “ The Digital Universe in 2020: Big Data, Bigger Digital Shadows, and Biggest Growth in the Far East,” IDC-IVIEW, International Data Corporation, Framingham, MA, accesssed June 22, 2017, https://www.emc.com/leadership/digital-universe/2012iview/index.htm
Gantz, J. , and Reinsel, D. , 2010, “ The Digital Universe Decade - Are You Ready?,” IDC-IVIEW, International Data Corporation, Framingham, MA, accessed June 22, 2017, https://www.emc.com/collateral/analyst-reports/idc-digital-universe-are-you-ready.pdf
Eleftheriou, E. , Haas, R. , Jelitto, J. , Lantz, M. , and Pozidis, H. , 2010, “ Trends in Storage Technologies,” IEEE Data Eng. Bull., 33(4), pp. 4–13. http://sites.computer.org/debull/A10dec/ELE_Bulletin_Dec.pdf
INSIC, 2012, “ International Magnetic Tape Storage Roadmap 2012-2022,” Information Storage Industry Consortium, San Diego, CA, accessed June 22, 2017, http://www.insic.org/news/2012Roadmap/12index.html
Blok, H. , and Van Rossum, J. , 1953, “ The Foil Bearing: A New Departure in Hydrodynamic Lubrication,” Lubr. Eng., 9(6), pp. 316–320.
Baumeister, H. , 1963, “ Nominal Clearance of the Foil Bearing,” IBM J. Res. Dev., 7(2), pp. 153–154. [CrossRef]
Eshel, A. , and Elrod, H. , 1965, “ The Theory of the Infinitely Wide, Perfectly Flexible, Self-Acting Foil Bearing,” ASME J. Fluids Eng., 87(4), pp. 831–836.
Eshel, A. , and Elrod, H. , 1967, “ Stiffness Effects on the Infinitely Wide Foil Bearing,” ASME J. Tribol., 89(1), pp. 92–97.
Eshel, A. , 1968, “ Compressibility Effects on the Infinitely Wide, Perfectly Flexible Foil Bearing,” ASME J. Tribol., 90(1), pp. 221–225.
Eshel, A. , 1970, “ On Fluid Inertia Effects in Infinitely Wide Foil Bearings,” ASME J. Tribol., 92(3), pp. 490–493.
Stahl, K. J. , White, J. , and Deckert, K. L. , 1974, “ Dynamic Response of Self-Acting Foil Bearings,” IBM J. Res. Dev., 18(6), pp. 513–520. [CrossRef]
Rongen, P. , 1990, “ On Numerical Solutions of the Instationary 2D Foil Bearing Problem,” ASLE SP-29, pp. 130–138.
Lacey, C. , and Talke, F. E. , 1990, “ A Tightly Coupled Numerical Foil Bearing Solution,” IEEE Trans. Mag., 26(6), pp. 3039–3043. [CrossRef]
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. [CrossRef]
Müftü, S. , and Altan, M. C. , 2000, “ Mechanics of a Porous Web Moving Over a Cylindrical Guide,” ASME J. Tribol., 122(2), pp. 418–426. [CrossRef]
Muüftuü, S. , and Jagodnik, J. J. , 2004, “ Traction Between a Web and a Smooth Roller,” ASME J. Tribol., 126(1), pp. 177–184. [CrossRef]
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), p. 021502. [CrossRef]
Ducotey, K. , and Good, J. , 1995, “ The Importance of Traction in Web Handling,” ASME J. Tribol., 117(4), pp. 679–684. [CrossRef]
Ducotey, K. , and Good, J. , 1998, “ The Effect of Web Permeability and Side Leakage on the Air Film Height Between a Roller and Web,” ASME J. Tribol., 120(3), pp. 559–565. [CrossRef]
Ducotey, K. S. , and Good, J. K. , 1999, “ Predicting Traction in Web Handling,” ASME J. Tribol., 121(3), pp. 618–624. [CrossRef]
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(3), pp. 578–584. [CrossRef]
Granzow, G. , and Lebeck, A. , 1984, “ An Improved One-Dimensional Foil Bearing Solution,” ASLE SP-16, pp. 54–58.
Hashimoto, H. , 1995, “ Theoretical Analysis of Externally Pressurized Porous Foil Bearings—Part I: In the Case of Smooth Surface Porous Shaft,” ASME J. Tribol., 117(1), pp. 103–111. [CrossRef]
Hashimoto, H. , 1999, “ Air Film Thickness Estimation in Web Handling Processes,” ASME J. Tribol., 121(1), pp. 50–55. [CrossRef]
Hashimoto, H. , and Nakagawa, H. , 2001, “ Improvement of Web Spacing and Friction Characteristics by Two Types of Stationary Guides,” ASME J. Tribol., 123(3), pp. 509–516. [CrossRef]
Hashimoto, H. , and Okajima, M. , 2006, “ Theoretical and Experimental Investigations Into Spacing Characteristics Between Roller and Three Types of Webs With Different Permeabilities,” ASME J. Tribol., 128(2), pp. 267–274. [CrossRef]
Hashimoto, H. , Ibi, Y. , Kiribe, S. , and Kondou, C. , 2007, “ Prediction of Slippage Onset Condition Between Web and Steel Roller,” Microsyst. Technol., 13(8–10), pp. 965–971. [CrossRef]
Hikita, S. , and Hashimoto, H. , 2010, “ Improvement of Slippage and Wrinkling of Transporting Webs Using Micro-Grooved Rollers,” J. Adv. Mech. Des. Syst. Manuf., 4(1), pp. 226–237.
Hashimoto, H. , 2012, “ Friction Characteristics Between Paper and Steel Roller Under Mixed Lubrication,” Proc. Inst. Mech. Eng., Part J, 226(12), pp. 1127–1140. [CrossRef]
Heinrich, J. , and Wadhwa, S. , 1986, “ Analysis of Self-Acting Foil Bearings: A Finite Element Approach,” Tribol. Mech. Mag. Storage Syst., ASLE SP-21, pp. 152–159.
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. [CrossRef]
Müftü, S. , 2003, “ Tape Mechanics Over a Flat Recording Head Under Uniform Pull-Down Pressure,” Microsyst. Technol., 9(8), pp. 546–554. [CrossRef]
Müftü, S. , and Benson, R. C. , 1995, “ Modeling the Transport of Paper Webs Including the Paper Permeability Effects,” Advances in Information Storage and Processing Systems, Vol. 1, ASME, San Francisco, CA, pp. 247–258.
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. [CrossRef]
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), pp. 584–594. [CrossRef]
Rice, B. S. , and Gans, R. F. , 2005, “ Predictive Models of Web-to-Roller Traction,” ASME J. Tribol., 127(1), pp. 180–189. [CrossRef]
Stewart, A. M. , and Cole, K. A. , 1996, “ Roller With Contoured Surface for Conveying Ultrathin Webs and Apparatus Comprising Such a Roller,” Eastman Kodak Company, Rochester, NY, Patent No. EP0820947 A1. https://encrypted.google.com/patents/EP0820947A1?cl=un
Poorman, P. W. , 2003, “ Grooved Tape Guide,” U.S. Patent No. US20030029952 A1. https://www.google.com/patents/US20030029952
Coburn, P. R. , 2006, “ Tape Drive Transport Roller,” Storage Technology Corporation, Louisville, CO, U.S. Patent No. US 6994293 B1. http://www.google.ch/patents/US6994293
Kaşıkcı, T. , and Müftü, S. , 2013, “ Modeling the Traction of a Thin Tape Guided by a Grooved Roller,” ASME Paper No. ISPS2013-2875.
Kaşıkcı, T. , Weng, M.-C. , Nayak, A. , Goker, T. , and Müftü, S. , 2014, “ Tape Mechanics Over a Grooved Roller: Experiments and Theory,” ASME Paper No. ISPS2014-6968.
Rice, B. S. , and Gans, R. F. , 2003, “ A Simple Model to Predict Web-to-Roller Clearance,” Seventh International Web Handling Conference, Stillwater, OK, June 1–4.
Kasikci, T. , and Müftü, S. , 2015, “ Wrap Pressure Between a Flexible Web and a Circumferentially Grooved Cylindrical Guide,” ASME J. Tribol., 138(3), p. 031101. [CrossRef]
Müftü, S. , and Cole, K. A. , 1999, “ The Fluid-Structure Interaction in Supporting Thin Flexible Cylindrical Web With an Air Cushion,” J. Fluids Struct., 13(1), pp. 681–708. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Schematic depiction of a grooved roller and the details of the area considered in analysis

Grahic Jump Location
Fig. 2

Description of the three possible contact states when the tape is “pushed” against the grooved roller by the belt-wrap pressure. Modified from Ref. [43]. (a) Contact state 1, (b) contact state 2, and (c) contact state 3.

Grahic Jump Location
Fig. 3

Test setup showing a flanged roller and the position of the displacement sensor. Note that the spin sensor is not shown in this figure.

Grahic Jump Location
Fig. 4

Close-up scanning electron microscope picture of grooved roller surface. Note that measurements with laser and Fotonic™ sensor are taken on this roller.

Grahic Jump Location
Fig. 5

Tape roller and sensors configuration on the tape path

Grahic Jump Location
Fig. 6

(a) Tape–roller spacing, h, and (b) spin sensor variations as a function of time. (a) shows the raw and filtered data.

Grahic Jump Location
Fig. 7

Comparison of measured and computed tape-to-land values for T = 0.3, 0.5, 0.7, and 0.9 N. The symbols represent the mean of measured values with the one standard deviation of the error as shown. The solid lines represent the computed values calculated at the center of wrap.

Grahic Jump Location
Fig. 8

(a) The tape deflection and the corresponding (b) air and (c) contact pressure variations around the land at steady state for (2LL, 2LG) = (137, 245) μm, T = 0.5 N, and Vt = 6 m/s

Grahic Jump Location
Fig. 9

Variations of tape deflection predicted by (a) the closed-form analysis and (b) by the coupled solution of the tape deflection, air and contact pressure equilibrium equations for 2LL = 137 μm and 2LG = 245 μm for T = 0.3, 0.5, 0.7, and 0.9 N

Grahic Jump Location
Fig. 10

Variation of tape deflection predicted by the closed-form analysis for T = 0.5 N and different land and groove width combinations. Other parameters are reported in Table 1.

Grahic Jump Location
Fig. 11

Variation of tape deflection as a function of tape velocity, land width, and groove width. These values correspond to air pressure profiles given in Fig. 12. The tape tension is 0.5 N and the tape speed values are 0.5, 1, 2 4, and 6 m/s. Other parameters are reported in Table 1.

Grahic Jump Location
Fig. 12

Variation of air pressure as a function of tape velocity, land width, and groove width. These values correspond to the deflection profiles given in Fig. 11. The tape tension is 0.5 N and the tape speed values are 0.5, 1, 2, 4, and 6 m/s. Other parameters are reported in Table 1.

Grahic Jump Location
Fig. 13

Computed traction coefficients as a function of tape speed, land width, groove width, and tape tension

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In