Mathematical Modeling to Predict the Geometrical and Physical Properties of Bleached Cotton Plain Single Jersey Knitted Fabrics

Abstract

This paper presents a novel mathematical model of bleached cotton plain single jersey knitted fabrics. The mathematical model is used to deduce the fabric geometrical relationships that can be useful for forecasting the properties of the fabric before production. A practical verification is carried out at different cotton yarn counts and twist factors. The obtained mathematical and practical results are deeply studied and analyzed. The results showed a good agreement between the proposed mathematical model and the practical one. The finished fabric weight is predicted at different yarn counts and loop lengths, and a forecasting weight chart is deduced. This chart will undoubtedly help the producers to enhance the fabric productions. In addition, an actual yarn diameter in the fabric measuring method is carried out and the fabric thickness is estimated consequently. The obtained results proved that the plain single jersey thickness is proportional to three times of the actual measured yarn diameter.

Analysis of the performance properties of knitted fabrics containing elastane

“…Fouda et.al. presentsed a novel mathematical model of bleached cotton plain single jersey knitted fabrics which was used to deduce the fabric geometrical relationships that can be useful for forecasting the properties of the fabric before production [19] .Unal et. al.…”

“…In the literature there are also some modelling studies that can define some of the characteristics of plated single jersey fabrics. Fouda et al (2015) presented a novel mathematical model of bleached cotton plain single jersey knitted fabrics which was used to deduce the fabric geometrical relationships that can be useful for forecasting the properties of the fabric before production. Unal et al (2012) applied regression and artificial neural network for the prediction of the bursting strength and air permeability of single jersey knitted fabrics.…”

“…Although there are some experimental and research studies available in literature (Bayazit, 2003;Šajn et al, 2004;CIRFS, 2010;www.shmtraders.com/en/fabric/knittedfabric.html;Raleigh, 2003;Weber and Nolte, 1984;Tezel and Kavusturan, 2014;Abdessalem et al, 2009;Gorjanc and Bukošek, 2008;Sampath and Senthilkumar, 2009;Fatkić et al, 2011;Busilienė et al, 2011;Pavkocuden et al, 2000;Fletcher and Roberts, 1965;Özdil et al, 2007;Oğlakçioğlu and Marmarali, 2007;Islam et al, 2014;Fouda et al, 2015;Unal et al, 2012;Minapoora et al, 2013;Perumalsamy et al, 2014;Verdu et al, 2009;Mukhopadhyay et al, 2004;Dunja and Bukosek, 2008;Sacevičienė et al, 2011) focusing on the dimensional, physical and some performance properties of knitted fabrics with elastane, there is not a comprehensive study analysing the effect of elastane yarn count and ground yarn count on the performance properties of half plating and full plating cotton/spandex single jersey fabrics.…”

Effect of Slub Yarn Ratio on Single Jersey Knitted Fabric Properties

“…For Single Jersey knitted fabrics, at constant loop length, as yarn gets finer, yarn diameter decreases and courses spaces increases, hence, courses density decreases theoretically and experimentally. At constant stitch length, as yarn diameter increases, fabric thickness increases, fabric tightness increases and air permeability decreases [4].…”

Comparative Study between the Characteristics of the Egyptian and the Sudanese Cotton Knitted Fabrics

“…This change depends mostly on two factors; the water content in the fabric and the nature of the liquid. The liquid components are constant; therefore, the measured electrical resistance is associated with the water content in the fabric [10][11][12][13]. For simulating the sweating action, a solution was prepared which contains 1 litre of distilled water in addition to 9 g of sodium chloride to achieve a 16±0.2 ms solution conductivity.…”