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A Mathematical Model of Fancy Yarns’ Strength. The First Model Developed in the World

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The mathematical models of the strength of fancy yarns with continuous effects (plied twoand three-component yarns and loop yarn) were developed on the basis of the mechanical rules, phenomena occurring between the staple fibres in the component yarns and the final structure of fancy yarns. Three types of distribution of the length of the staple fibres (steady, trapezium and normal) and two types of fibre migration (full migration and lack of migration) were considered. Experimental verification was conducted and the larger influence of the distribution of the fibres’ length than the migration of fibres on the strength of the final fancy yarns was proved. The essential influence of the component yarns’ tensions during the twisting process on the structure and strength of fancy yarns was shown.

Published in issue no 6 (71) / 2008, pages 9–14.

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