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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.

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References

Figures

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Fig. 1

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

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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.

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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.

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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.

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Fig. 5

Tape roller and sensors configuration on the tape path

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Fig. 6

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

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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.

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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

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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

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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.

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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.

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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.

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Fig. 13

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

Tables

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