Analysis of mutual interlacing of threads in multifilament single layer and two layer woven fabric structure using Fourier series
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Date
2019-05-25
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Abstract
The theoretical model for description of mutual interlacing of threads in multifilament woven fabric structure using Fourier series derived from plain woven structure has been validated in this work with experimental results. The internal geometry of the woven fabrics and the deformation in the single and two layer woven structures has been evaluated by the cross-sectional image analysis method. The approximation using the linear function in Fourier series along longitudinal and transverse cross-section has been performed for single layer and two layer stitched woven fabrics, which fits well to the experimental binding wave. The spectral characteristics of binding waves obtained by Fourier series (theoretical) has been compared with the experimental values, which are very close to each other in longitudinal and transverse cross-section. By evaluating the geometrical parameters of yarn in the real cross-section of a woven fabric, it is possible to compare it with the theoretical shape of a binding wave by analyzing its individual coordinates.
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Fourier series, fabric structure, geometric modelling, multilayer woven, weaving, Basalt yarn