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Prediction of slippage onset condition between web and steel roller

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Abstract

This paper describes the theoretical modeling for the prediction of slippage onset condition between the paper web and steel roller with experimental verifications. For the first step of modeling, the occurrence of slippage is observed for the cases of uncoated paper (newsprint) and coated paper, and the relation between the slip ratio and roller velocity is measured by changing web tension. Two kinds of theoretical model are proposed, and the applicability of the models is confirmed experimentally.

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Abbreviations

B :

web wrap angle (rad)

d :

shape function (m)

F :

friction force between web and roller (N)

f :

traction force at bearing (N)

h :

entrained air film thickness (m)

k :

web permeability (m2)

L :

web width (m)

M b :

bearing torque (Nm)

p :

air film pressure (Pa)

p a :

ambient pressure (Pa)

R :

roller radius (m)

r :

bearing radius (m)

s :

slip ratio

T :

web tension (N/m)

t w :

web thickness (m)

U :

total velocity (= U r  + U w ) (m/s)

U r :

roller velocity (m/s)

U slip :

slip onset velocity (m/s)

U w :

web velocity (m/s)

w :

web deflection (m)

x :

coordinate in the web transport direction (m)

x e :

outlet position of web wrap angle (m)

x s :

inlet position of web wrap angle (m)

z :

coordinate in the cross machine direction (m)

η :

air viscosity (Pa s)

μ :

traction coefficient between web and roller

μ b :

bearing friction coefficient

μ l :

local traction coefficient

σ :

rms composite roughness (m)

σ r :

rms roughness of roller surface (m)

σ w :

rms roughness of web surface (m)

References

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, School of Engineering, Tokai University, 1117 Kitakaname, Hiratsuka, Kanagawa, 259-1292, Japan

    Hiromu Hashimoto, Yasuhiro Ibi, Shigeyoshi Kiribe & Chihiro Kondou

Authors
  1. Hiromu Hashimoto
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  2. Yasuhiro Ibi
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  3. Shigeyoshi Kiribe
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  4. Chihiro Kondou
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Corresponding author

Correspondence to Hiromu Hashimoto.

Additional information

For the presentation at 2006 ASME/JSME Joint Conference on Micromechanics for Information and Precision Equipment (MIPE2006) and for publication Special Issue MIPE2006 of Journal of Microsystem Technology.

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Hashimoto, H., Ibi, Y., Kiribe, S. et al. Prediction of slippage onset condition between web and steel roller. Microsyst Technol 13, 965–971 (2007). https://doi.org/10.1007/s00542-006-0293-x

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  • DOI: https://doi.org/10.1007/s00542-006-0293-x

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