A dynamic drafting model with the frictional force between fibers

Roller drafting is one of the most critical processes in spinning. This study established a dynamic drafting model and simulated the drafting process affected by the frictional force between fibers. In the simulation, the dynamic drafting process of fibers was simulated by calculating the movement time of fibers in the drafting zone. Moreover, the dynamic accelerating process of fibers was simulated by calculating the frictional force between fibers during the dynamic drafting process. Therefore, this model could simulate the dynamic drafting process affected by the frictional force between fibers. The proposed model was validated by the comparison with the experimental data of accelerated point distribution and output sliver irregularity. In addition, the distribution of accelerated points and fibers with various drafting ratios was simulated. The simulated results indicated that the greater the draft ratio, the more the slow fibers and the fewer the fast fibers in the drafting zone. Furthermore, the accelerated point distribution was more concentrated and closer to the front roller nip line. Thus, this model can offer a valuable reference to investigate the principle of influence of drafting conditions on the drafting process.