Theory of Yarn Dynamics during Unwinding from Packages

Abstract:

We derive the system of coupled nonlinear differential equations that govern the motion of yarn in general. The equations are written in a (non-uniformly) rotating observation frame and are thus appropriate for description of over-end unwinding of yarn from stationary packages. We comment on physical significance of virtual forces that appear in a non-inertial frame and we devote particular attention to a lesser known force, that only appears in non-uniformly rotating frames. We show that this force should be taken into account when the unwinding point is near the edges of the package, when the quasi-stationary approximation is not valid because the angular velocity is changing with time. The additional force has an influence on the yarn dynamics in this transient regime where the movement of yarn becomes complex and can lead to yarn slipping and even breaking.

• Periodical: Advanced Materials Research (Volume 601)
• Pages: 275-279
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.601.275
• Online since: December 2012
• Authors: Stanislav Praček
• Keywords: Balloon Theory, Packages, Virtual Forces, Yarn Tension, Yarn Unwinding

References

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