Numerical simulation of yarn tensile force for dynamic yarn supply systems of textile machines

During the production of textiles, quality problems arise with increasing machine speed due to high dynamic stresses in the yarn supply system. Based on the large number of influencing factors in this process, an analysis of the cause of the errors is only possible with high experimental effort or, due to sporadic errors, not at all. The yarn tensile force is the critical parameter and its simulation in the entire yarn supply process opens a wide range of opportunities for analysis and optimization. First, a mathematical model based on the invariance of the mass of a yarn piece and the non‐linear elongation behavior of the yarn is constructed and the influencing factors of the essential elements of yarn supply cone, feeder, and eyelet on the yarn tensile force are described. The simulation is carried out using the software package Matlab/Simulink in which the created sub‐elements can be combined optionally and can be duplicated, which allows a simple and quick adjustment of any yarn supply system in textile machinery. On the basis of comparative measurements, it is shown that the simulation predicts the yarn tensile force, for example extreme situations in the yarn supply process, such as the insertion of the yarn into knitting machines, in a very good approximation to reality. The simulation is transferable to other yarn supply systems of the textile technology by extending the yarn supply sub‐element database.