  Shustov-Y-Zinoviev-T-Zinoviev-V-tik-72-2026-2-ru.pdf |
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- Analytical study of the dependence of the volume density of a single yarn on the twist coefficient to create a mathematical model
- Shustov Yu. S., Zinoviev T. V., Zinoviev V. P. Analytical study of the dependence of the volume density of a single yarn on the twist coefficient to create a mathematical model. Technologies & Quality. 2026. No 2(72). P. 38–43. (In Russ.) https://doi.org/ 10.34216/2587-6147-2026-2-72-38-43.
- DOI: https://doi.org/10.34216/2587-6147-2026-2-72-38-43
- УДК: 677.017
- EDN: EFZIWK
- Publish date: 2026-04-27
- Annotation: This article provides an analytical justification for the choice of numerical values of the parameters of a mathematical model of the volumetric density of yarn from the degree of its twisting in order to optimise the sensitivity of the mathematical apparatus used in the model. The analysis of the properties of the functional dependence of the volumetric density of yarn on the twist coefficient for the absence of function breaks in the range of the most common values of the independent variable is also carried out. The scientific novelty and interest of this work lies in solving the problem of choosing the most optimal values of parameters used in a mathematical model to achieve its maximum sensitivity to changes in an independent factor (twist coefficient). The main objective of this analytical study was to prove the adequate performance of the mathematical model proposed by the author (1) over the entire range of applied values of the twist coefficient and the absence of discontinuities in the proposed mathematical model.
- Keywords: yarn, yarn diameter, fibres, yarn volume density, linear yarn density, hexagonal fibre position, yarn cross section
- Literature list: 1. Osmin N. A., Zinoviev T. V., Melnikov V. V., Zinoviev V. P. Method of calculating the volumetric density and diameter of hardware wool yarn. Izvestiya vysshih uchebnyh zavedenij. Seriya Teknologiya Tekstil’noi Promyshlennosti [Proceedings of Higher Educational Institutions. Series Textile Industry Technology]. 2001;2(260):45–49. (In Russ.) 2. Olenina I. V., Shustov Yu. S., Zinovyev V. P., Rubtsov V. I., Timoshenko A. N., Isaev O. V., Seitova A. G. Influence of linear density of cotton yarn on its volumetric density and cross-sectional diameter. Izvestiya vysshih uchebnyh zavedenij. Seriya Teknologiya Tekstil’noi Promyshlennosti [Proceedings of Higher Educational Institutions. Series Textile Industry Technology]. 2023;3(405):120–124. (In Russ.) 3. Olenina I. V., Shustov Yu. S., Zinoviev V. P., Rubtsov V. I., Timoshenko A. N., Isaev O. V., Seitova A. G. Engineering calculation of the equilibrium of twisted cotton yarn. Izvestiya vysshih uchebnyh zavedenij. Seriya Teknologiya Tekstil’noi Promyshlennosti [Proceedings of Higher Educational Institutions. Series Textile Industry Technology]. 2023;4(406):122–127. (In Russ.) 4. Makarov E. G. Engineering calculations in Mathcad 15. St. Petersburg, Piter Publ., 2011. 400 p. (In Russ.) 5. Bronstein I. N., Semendyaev K. A. Handbook of imathematics for engineers and university participants. Moscow, Nauka Publ., 1986. 544 p. (In Russ.) 6. Shirokov V. P., Vladimirov B. M., Polyakova D. A. et al. Handbook of cotton spinning. Moscow, Legkaya i pishchevaya promyshlennost’ Publ., 1985. 472 p. (In Russ.) 7. Sevostyanov A. G. Methods and means of research of mechanical and technological proecesses of the textile industry. Moscow, Legkaya industriya Publ., 1980. 392 p. (In Russ.)