A Model for Determining the Asperity Engagement Height in Relation to Web Traction Over Non-Vented Rollers

[+] Author and Article Information
Brian S. Rice, Kevin A. Cole

Eastman Kodak Company, Rochester, NY 14652

Sinan Müftü

Northeastern University, Department of Mechanical Engineering, Boston, MA 02115

J. Tribol 124(3), 584-594 (May 31, 2002) (11 pages) doi:10.1115/1.1456087 History: Received February 09, 2001; Revised August 15, 2001; Online May 31, 2002
Copyright © 2002 by ASME
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Schematic view of a web conveyed over a cylindrical, rotating roller
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Surface topography using non-contact interferometry at 250× magnification: (a) roller, Rz/Rpm=5.33; (b) web number 1, Rz/Rpm=1.8; (c) web number 7, Rz/Rpm=1.2; and (d) web number 8, Rz/Rpm=1.8.
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Asperity peak height distribution for webs-1 and -5 and -8. Note that webs -5 and -7 have very similar surface topography characteristics. The Gaussian probability density distributions were calculated by using mean values of 0.35, 0, 0.08 μm and standard deviations of 1.7, 0.19, 0.09 μm, for webs-1, -5 and -8, respectively. The average skew values in these webs are 0.63, 13, 0.46, and the average Kurtosis values are 0.64, 220, 3.09, for webs-1, -5, and -8, respectively.
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The web-roller spacing at three different web speeds
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Schematic of the dynamic traction tester
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Optimization contours for web-5 for various μo. Optimum locations are indicated by ×.
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Predicted traction curves for β=22.5 kPa and β=225 kPa and the measured traction values
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Pictorial representation of contact between a smooth web and various idealized roller surface textures: (a) case 1: up features; (b) case 2: down features; and (c) case 3: up and down features.
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Pictorial representation of how two rough surfaces might combine for various surface textures: (a) case 1: sum; (b) case 2: rms; and (c) case 3: maximum.
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Equivalent coefficient of friction: model prediction mμd versus actual measured μd as a function of web speed
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Web speed at which the value of equivalent coefficient of friction μd is reduced by 50 percent of its initial value μo



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