Submit your paper : editorIJETjournal@gmail.com Paper Title : Development of a mathematical model for weft yarn tension of an elastomeric weft insertion of rapier ISSN : 2395-1303 Year of Publication : 2022 10.5281/zenodo.7391118 MLA Style: - Rathnayaka E M M W S V, Kalarooban S, Fernando P R, Wijesena G H D , Fernando E A S K, Jayawardane T S S Development of a mathematical model for weft yarn tension of an elastomeric weft insertion of rapier , Volume 8 - Issue 6 November - December 2022 International Journal of Engineering and Techniques (IJET) ,ISSN:2395-1303 , www.ijetjournal.org APA Style: - Rathnayaka E M M W S V, Kalarooban S, Fernando P R, Wijesena G H D , Fernando E A S K, Jayawardane T S S Development of a mathematical model for weft yarn tension of an elastomeric weft insertion of rapier , Volume 8 - Issue 6 November - December 2022 International Journal of Engineering and Techniques (IJET) ,ISSN:2395-1303 , www.ijetjournal.org Abstract The weft brake, a noxious event in weaving could often result in high tension peak values with a high risk of yarn breakage. Yarn tension is of paramount importance especially in the case of elastomeric weft yarn insertion as it can be stretched and recovered. Further, at any point of weft insertion, the elastomeric yarn tension of the weft shall not exceed its elastic limit to ensure complete recovery and avoid unexpected breakages. The greater acceptability of stretch fabrics is due to their exceptional qualities like higher extensibility, high degree of recovery, and extensive care. Core-spun yarns having elastane filament at the core and wrapped cotton fibers or polyesters are commonly used in the weaving process. To impart stretch ability to the yarns, elastic fibers like lycra /spandex are incorporated in them. In literature, there is a fundamental lack of a complete mathematical model related to weft yarn insertion processes. A mathematical model was developed to bridge the long-standing technological gap in related to elastomeric weft insertion on a rapier loom. Tension devices along the entire yarn path across the tension head were used in the derivation of a mathematical model for static tension variation at the weft insertion on a rapier loom. The dynamic tension added to the static tension was also modeled for elastomeric weft insertion. The model was validated with practical results within 10% accuracy level. However, during the experimentation, rapier Loom was run at a constant speed of 250 picks/min and the variation of dynamic tension with loom speed is yet open for . Reference 1. SWICOFIL – Yarn and Fiber [Online]. Available: https://www.swicofil.com/consult/textile-applications/yarnprocessing/covering. [Accessed 20 June 2022]. 2. “mathscareers,” [Online]. Available: https://www.mathscareers.org.uk/what-is mathematical-modelling/ [Accessed 21 June 2022]. 3. Fabio Previdi, Sergio M. Savaresi and Corrado Volpi, A Numerical Model of the Weft Yarn Filling Insertion Process in Rapier Looms, Proceedings of the 2006 American Control Conference Minneapolis, Minnesota, USA, June 14-16, 2006 4. M. Subhankar, S. Kunal and S. Mrinal, “Recent Developments in Rapier Weaving Machines in Textiles,” American Journal of Systems Science, vol. 1, no. 1, pp. 7-16, 2012. 5. M. W. H. Townsend, “WEFT TENSION IN WEAVING,” Journal of the Textile Institute Proceedings, vol. 46, 1955 6. J. Lunenschloss and S. Schlichter, “Stress on weft and warp yarns in terms of the weft insertion speed and other weaving parameters,”MelliandTextilberichte, vol. 68, pp. 93-98, 1987 7. Samir Kumar Neogi, Role of Yarn Tension in Weaving,Woodhead Publishing India Pvt. Ltd. ISBN: 978-9-38030-825-8, 2015. 8. (Lehnert F., Ballhausen U., and Wulfhorst B., (1990). Analysis of Weft Thread Tensioners for Weaving Machines, MelliandTextilberichte, Volume 71, pp. 257–262. 9. J. Mcmahon, “Weft tension during double-rapier weft insertion in weaving,,” The Journal of the Textile Institute, vol. 77, p. 356–358, 1986. 10. L. Vangheluwe and B.C. Goswami, “Strain rate in dynamic tensile testing,” Textile Research Journal, vol. 68, n° 2, pp. 150-151, 1998 Keywords — elastomeric yarn, stretch ability, rapier loom, weft tension, mathematical model. |