Next Article in Journal
Matematical Model for Yarn Unwinding from Packages
Previous Article in Journal
Effects of Time Delay on Chaotic Neuronal Discharges
Article Menu

Article Versions

Export Article

Open AccessArticle
Math. Comput. Appl. 2010, 15(5), 846-852; doi:10.3390/mca15050846

Numerical Simulations of Yarn Unwinding from Packages

Department of textile, NTF, University of Ljubljana, Snežniška 5, SI-1000 Ljubljana, Slovenija
*
Author to whom correspondence should be addressed.
Received: 31 December 2010 / Accepted: 31 December 2010 / Published: 31 December 2010
Download PDF [357 KB, uploaded 8 April 2016]

Abstract

We derive a 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, and 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.
Keywords: yarn dynamics; eqations of motion; virtual forces; nunerical simulations yarn dynamics; eqations of motion; virtual forces; nunerical simulations
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Praček, S.; Franci, S. Numerical Simulations of Yarn Unwinding from Packages. Math. Comput. Appl. 2010, 15, 846-852.

Show more citation formats Show less citations formats

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top