The effects of the tension on the yarn dynamics

Praček, Stanislav (author)

Yarn unwinding is essential in many textile processes. To be able to describe yarn unwinding, we had to develop firstly a general equation of motion for the yarn in the balloon. We also had to take into account residual tension of the yarn in the interior of the package. In this contribution, we therefore complemented the usual treatment of yarn unwinding by deducing from the general equation of motion of yarn during unwinding an equation for the tension in yarn and by deducing residual tension from this equation. Instead of perturbation theory, we used quasi-stationary approximation. Using approximations, we will derive the tension equation in the unwinding yarn, which describes the relevant physical phenomena. In this way, we will get a yarn unwinding model that is well mathematically defined and can be solved with the tools of numerical mathematics.

• Language: English
• Keywords: quasi-stationary approximation, yarn tension, tension in balloon, residual tension
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: NTF - Faculty of Natural Sciences and Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2025
• Number of pages: Str. 594–602
• Numbering: Vol. 116, no. 4
• PID: 20.500.12556/RUL-168014
• UDC: 677
• ISSN on article: 0040-5000
• DOI: 10.1080/00405000.2024.2347695
• COBISS.SI-ID: 195597315
• Publication date in RUL: 25.03.2025

Record is a part of a journal

• Title: The journal of The Textile Institute
• Shortened title: J. Text. Inst.
• Publisher: Taylor & Francis, The Textile Institute
• ISSN: 0040-5000
• COBISS.SI-ID: 25805824

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: kvazi stacionarni približek, napetost v preji, napetost v balonu, zaostala napetost