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Mathematical Model of Plain Weave Fabric at Various Stages of Formation

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Abstract:

This article proposes a system of equations for forecasting grey fabric structure parameters and the parameters of fabric in different loom zones. The system of equations suggested is solved by the numerical method in various applications. This article is based on the nonlinear bending moment theory of thin elastic plate bending developed by E.P. Popov. The analysis results of fabric micro cross-sections from different loom zones are presented for comparison of calculated and experimental data. First as computed parameters are the density of the fabric in the warp (knowing the density of the fabric, defined by the reed) and weft (knowing the density of the fabric, which determines the cloth beam regulator) in different areas of the machine, which makes it possible to design a more accurate process of the fabric forming process and predict the yarn axis in different loom zones.

Tags:

fabric structure, bending stiffness, yarn curvature, fabric model, wave height of yarn curvature.

Citation:

Grechukhin AP, Seliverstov VYu. Mathematical Model of Plain Weave Fabric at Various Stages of Formation. FIBRES & TEXTILES in Eastern Europe 2014; 22, 5(107): 43-48.

Published in issue no 5 (107) / 2014, pages 43–48.

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