Abstract

This paper established a dynamic drafting model with the frictional force between fibers to simulate the drafting process of the uneven input sliver. The simulated results indicated that the number of back, slow-floating, fast-floating, and front fibers would change sequentially when the input sliver linear density changed. Due to the different timing of quantity changes in the four types of fibers, the uneven input sliver led to a repeated increase and decrease in the proportion of fast and slow fibers in the drafting zone. When the input sliver linear density decreased, the floating fibers first continuously accelerated earlier, then accelerated earlier later, and then continuously accelerated earlier again. The effect of increasing the input sliver linear density on the floating fiber motion was opposite to that of decreasing the input sliver linear density. This paper offers a theoretical foundation for further improving the auto-leveling approach.

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