Fiber-Length Redistribution Simulation for Cut Long-Staple Fiber Slivers

Long natural fibers such as hemp and pineapple leaf fiber may require controlled sliver cutting before processing on short-staple or modified short-staple spinning systems. This draft proposes a spatial-cutting simulation framework to quantify how original fiber length, cut length, and initial length distribution determine the after-cut fragment distribution. The fixed-length case is used as the main explanatory path because it provides a transparent bridge between formula and simulation. The model represents fibers as line segments randomly arranged along an 80 m sliver, cuts the sliver into prescribed lengths, and records the resulting fragment lengths. Results show that the mean after-cut fragment length is mainly controlled by original mean length and cut length, while full-length and short-fragment percentages reveal the trade-off between preserving spinnable length and suppressing excessive short-fiber generation.