YARN UNWINDING FROM PACKAGES
Abstract
Yarn unwinding from a package is important in many processes. In production the yarn is being withdrawn from cross-wound packages in warping and weft insertion. The quality of the yarn is numerically expressed mainly by the values of mechanical quantities. They depend on how the yarn is stressed. During unwinding of the yarn at high speed from a stationary package, the tension oscillates within some interval. It happens that, when the yarn is not strongly stressed and the tension is not high, the yarn breaks. This is why we think that a cross-wound package is not an ideal form of package and that such packages are not always made without flaws. We strive to achieve the fastest warping and weaving speeds as possible; therefore, our aim is to improve the theory of cross-wound package unwinding and to find the necessary modifications of the yarn-unwinding process. The goal of our contribution is to state the equations of motion that describe the unwinding yarn and to develop a mathematical model that would enable us to simulate the process of unwinding.
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