Creation of a Geometrical Model for Milano Rib Fabric

Kurbak, Arif; Amreeva, Gulmira

doi:10.1177/0040517507071968

Cited by 17 publications

(34 citation statements)

References 10 publications

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“…General Milano rib model given by Kurbak and Amreeva [33] is shown in Figure 1. This model could not be generalized to fit the other structures and it could only be applied for normal tightness value of 1 × 1 rib structure by placing the cylinder, which is used to define the crossing part, perpendicular to the fabric face, because elliptical cylinders had to be used for wrapping the arms and the crossing parts of rib course of the milano rib.…”

Section: Creation Of the Modelmentioning

confidence: 99%

“…The method of obtaining three-dimensional models [29,33], which are chosen to be the basic models of the present study, were different from the earliest models created by the other researchers [38,[45][46][47][48]. While earlier researchers wrapped their two-dimensional models over a horizontally placed cylinder or sine wave, we prefer to wrap the yarn on elliptical vertical cylinders for the two arms of a loop, so that we can apply the curve obtained to more complex structures.…”

Section: Loop Armsmentioning

confidence: 99%

“…Kurbak's geometrical model for plain knitted loop shape [29] and Kurbak and Amreeva's [33] model for milano rib fabrics are taken as starting points and some modifications are generated to obtain the geometrical model for the 1 × 1 rib knit. The continuity of the curves used to define the repeating unit is considered and provided throughout the model.…”

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confidence: 99%

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Geometrical Models for Balanced Rib Knitted Fabrics Part I: Conventionally Knitted 1 × 1 Rib Fabrics

Kurbak

2009

Textile Research Journal

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Geometrical modelings of the fabric structures are needed to understand the dimensional behavior of knitted fabrics, to be able to define the surface properties and to prepare the basic work for creating physical models. Our main aim here is to prepare basic work for creating physical models for complex knitted structures. Firstly, we wish to discuss the dimensional properties of the whole basic weft knitted structures first, and after obtaining the whole picture, we will study the physical models. Thus, any physical parameter is not discussed here.Many researchers have studied the dimensional properties of weft knitted fabrics. Among these researchers, some [5,6,9,11,18,36,41,[46][47][48]53, 60] studied the mechanical modeling of weft knitted structures, some [8,27,29,37,38,41,45,49,52] suggested geometrical models to fit the plain-knitted loop shape, and some [22,27,42,49,55,64] suggested geometrical models for 1 × 1 rib fabric. However, the models given for 1 × 1 ribs were not general models to explain the whole phenomena observed in practice.A physical model of 1 × 1 rib fabric was given by Hepworth [17], but it is too difficult to apply the model to all relaxed fabric simulations.There are studies [1, 10, 15, 19-21, 23, 51, 58, 65, 66] which have defined the weft knitted textile material behavior in technical textile applications. In these studies, mostly basic knitted structures (plain, rib, milano and interlock) were used to manufacture the technical textiles.For further analysis, for example with finite element method, there is the need for proper geometrical definition of the structures to be considered as the initial state and also to make some assumptions in creating physical models. In the first part of this study, geometrical model for the 1 × 1 rib knitted fabric is developed because this fabric is commercially very popular as classical textiles and it is also very popular for technical applications nowadays. Application of the model to conventionally knitted fabrics (fabrics knitted using conventional take down tension) is also given in part I of this series. Part II will deal with the applications of 1 × 1 rib model to the structures as interlock, half milano and presser-foot knitted 1 × 1 rib. Part III will deal with the geometrical models of 2 × 2, 3 × 3, 4 × 4 and 5 × 5 rib fabrics, in which a modified version of the present 1 × 1 rib model will be used. 1Abstract The 1 × 1 rib knitted fabric is mostly used for collar, cuff, waistband, etc. of outerwear knitted garments and it is also very popular nowadays for using as preforms of knitted composite structures. A geometrical model to predict the dimensional properties of conventionally knitted 1 × 1 rib fabric is created and given in part I of this series of papers. With the 1 × 1 rib model, relaxation mechanism and the effect of tightness on conventionally knitted 1 × 1 rib fabrics of wool are attempted to be explained (as an example of application of the model).

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Section: Creation Of the Modelmentioning

confidence: 99%

Section: Loop Armsmentioning

confidence: 99%

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Geometrical Models for Balanced Rib Knitted Fabrics Part I: Conventionally Knitted 1 × 1 Rib Fabrics

Kurbak

2009

Textile Research Journal

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“…Assuming that the diameters of 28/2 Nm wool, 28/2 Nm acrylic, and 16/2 Ne cotton yarns were the same and also assuming that Shinn's [12] formula (equation (6)) gives the better estimation for the diameters of yarns used in knitting (as discussed above), the parameters of equations (9) and (10) (which can be called Kurbak's empirical equations (2, 4-7)) were calculated as shown in Table 1 for various weft-knitted fabrics, including milano and half milano rib fabrics, in which the parameters c 0 , w 0 , l c0 , and l w0 and were given in terms of yarn diameters.…”

Section: Resultsmentioning

confidence: 99%

“…A model of this fabric will be presented in another paper [9]. Table 1 Obtained c 0 , w 0 , l c0 , and l w0 parameters of the equations (9) and (10).…”

Section: Resultsmentioning

confidence: 99%

Experimental Studies on the Dimensional Properties of Half Milano and Milano Rib Fabrics

Amreeva

Kurbak

2007

Textile Research Journal

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In this work, the dimensional properties of milano rib and half milano rib knitted fabrics were investigated experimentally using five different take-down tension values, five different tightness values, and three different yarn types. Dry, wet, and wash relaxations were applied to the samples, and after each relaxation, course-spacings ( c) and wale-spacings ( w) were measured. Loop lengths (ℓ) were also measured only after dry relaxation. Linear regression analysis was applied to the relations between c and ℓ and between w and ℓ. High correlation coefficients were found and the intercepts Ac and Aw of these linear regression equations were statistically important. Yet another regression equation between the intercepts Ac and the inclinations 1/ Kc and also between Aw and 1/ Kw could be applied with high correlation coefficients. The results showed that Kurbak's empirical equations were also applied to milano rib fabrics and the coefficients of the equations were given together with the most popular weft knitted fabrics.

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Structure and mechanics of knitted fabrics

Bueno

Camillieri

2019

Structure and Mechanics of Textile Fibre Assemblies

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Creation of a Geometrical Model for Milano Rib Fabric

Cited by 17 publications

References 10 publications

Geometrical Models for Balanced Rib Knitted Fabrics Part I: Conventionally Knitted 1 × 1 Rib Fabrics

Geometrical Models for Balanced Rib Knitted Fabrics Part I: Conventionally Knitted 1 × 1 Rib Fabrics

Experimental Studies on the Dimensional Properties of Half Milano and Milano Rib Fabrics

Structure and mechanics of knitted fabrics

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