Study on Mathematical Model for Simulating Yarn Unwinding from Packages

In many textile operations, yarn unwinding from a package is important. The efficiency of the procedure as well as the quality of the end product are directly influenced by the unwinding process's stability. The tension oscillates during the unwinding process.

This is most visible during over-end unwinding from a static package, as the yarn is removed at a high velocity in the package axis' direction. Even at very high unwinding velocities, the package's ideal shape allows for an optimal shape of the yarn balloon and low and consistent tension. The goal of this project is to write down the equations that explain yarn motion during unwinding and to build a mathematical model that can be used to replicate the process.