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Mathematical Modeling of Yarn Winding Tension

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Fibre Chemistry Aims and scope

The problem of mathematical modeling of synthetic yarn tension in the transporting area of the take-up and winding device is investigated. Based on balance of moving masses, a differential equation was derived for tension of a moving yarn, taking account of the rate of yarn feeding into the winding area, winding rate, and the law of yarn feeder motion. The yarn material is proposed to be ideally elastic.

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References

  1. A. F. Proshkov, Machines for Chemical Fibers Production: Design, Calculation and Construction: A Textbook for Institutions of Higher Education for the Specialty “Machines and Apparatuses for Chemical Fibers Production” [in Russian], Mashinostroenie, Moscow (1974), p. 470.

  2. V. A. Kolesnikov, N. V, Rokotov, et al., “Experimental study of processes of formation of variously structured packings on a winding bench,” Papers at the 27-th Int. Innovation and Orientation Conf. of Young Scientists and Students, 2015 [in Russian], Izd. IMASh RAN, Moscow (2015), pp. 419-422.

  3. V. A. Kolesnikov, N. V, Rokotov, et al., “Development of winding device for producing packings with a controlled variable structure,” Papers at the 26-th Int. Innovation and Orientation Conf. of Young Scientists and Students, 2014 [in Russian], Izd. IMASh RAN, Moscow (2015), pp. 503-506.

  4. O. N. Imas, E. G. Pakhomova, et al., Lectures on Differential Equations: A Textbook [in Russian], Tomsk Polytechnic University Press, Tomsk (2012), p. 193.

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Correspondence to A. V. Markovets.

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Translated from Khimicheskie Volokna, No. 3, pp. 8-10, May-June 2021

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Rokotov, N.V., Markovets, A.V., Kolesnikov, V.A. et al. Mathematical Modeling of Yarn Winding Tension. Fibre Chem 53, 155–158 (2021). https://doi.org/10.1007/s10692-021-10257-3

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  • DOI: https://doi.org/10.1007/s10692-021-10257-3

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