Roll quality is of primary importance for winding processes in paper,printing and film industries. This quality depends on variables such as winding tension of the web, the speed and acceleration of winding. These variables influence the internal stresses depending on the mechanical properties of the material (elasticity, friction) and the environmental conditions such as moisture and temperature. A winding process consists of a web, a continuous flexible and thin material such as paper, plastic film, metal foil, textile etc., which is wrapped onto a core by successive layers as the roll is rotating as shown in figure 1. The aim of such a process is to obtain a compact roll that allows keeping the quality of the wound material during storage, transportation and unwinding. For instance, a roll which is wound lose will be difficult to handle and for transportation on the hand. On the other hand, a roll that is wound too tight or uniformly will generate internal defects such as wrinkles, buckles or local breaks depending on the properties of the material and the environment conditions.
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