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Wrinkle dependency on web roller slip

Dobbs, J. N.
Kedl, D. M.
The shear forces in a web introduced from an untrammed roller create wrinkles that are affected by web twisting or slipping on the upstream roller. The web span bounded between the untrammed and upstream rollers behaves like a beam when bending in the web plane (2). If the bending stresses exceed the capacity of the friction forces holding the web on the upstream roller, strain will migrate over the roller transferring a portion of the moment to the upstream span. A model is presented that predicts the onset of moment transfer based on equilibrium equations for a beam in bending, and web roller traction.