Patent ID: 8032246

Claim:
A method for winding a continuous web material having a machine direction (MD) modulus that is approximately equal to the radial modulus of the web material to form a compressed roll of the wound web material so that the machine direction (MD) strain is substantially uniform throughout the wound roll of web material, the method comprising winding the web material onto the roll so that the outermost layer of web material is wound onto the roll in accordance with a predetermined wound on tension (WOT) profile that varies with the diameter and is calculated based on WOT transposition; wherein using WOT transposition to calculate a WOT profile that varies with the diameter of the wound web, includes: assuming a constant WOT in the web material as the web material is being wound onto the roll and further assuming that the initial MD tension condition are those conditions of MD tension in the web material when it has been completely wound on the roll, using a computer model to determine the initial MD tension conditions within a wound roll of the continuous web material as a function of the wound roll diameter, based on the conditions generated from the computer model, using the computer model to generate a compensated WOT profile, wherein the compensated WOT profile varies as a function of the wound roll diameter and wherein the compensated WOT profile is the WOT that is needed in the web as the web is being wound onto the roll in order to provide the wound roll with a uniform thru-roll MD tension.