CN107092787B - Prediction method for grey fabric thickness of wool type fabric - Google Patents
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- 239000004744 fabric Substances 0.000 title claims abstract description 149
- 210000002268 wool Anatomy 0.000 title claims abstract description 37
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- 238000013461 design Methods 0.000 claims abstract description 15
- 239000000835 fiber Substances 0.000 claims abstract description 14
- 238000009941 weaving Methods 0.000 claims abstract description 5
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- 239000004753 textile Substances 0.000 description 2
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- 238000011156 evaluation Methods 0.000 description 1
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Abstract
The invention discloses a method for predicting grey fabric thickness of a wool type fabric. The method is characterized in that on the basis of analyzing the geometrical relationship of a yarn interweaving structure, the interweaving structure is divided into 3 types, and 3 grey fabric grey cloth thickness prediction models applied to different interweaving structure types are deduced and established by utilizing the technical data of traditional varieties, including related data of fabric tissues, the weft density and the warp density of grey cloth, the number of strands of weft yarns and warp yarns, the linear density of single-strand wool yarns in the weft yarns and the warp yarns, the average fiber number in the cross section, the average volume density of raw materials used for the weft yarns and the warp yarns, weaving shrinkage, and the like. The method improves the structural design efficiency of the wool type fabric and the formulation efficiency of the after-finishing process.
Description
Technical Field
The invention relates to a method for predicting grey cloth thickness of wool fabric, and belongs to the technical field of spinning.
Background
The grey fabric thickness of the wool-type fabric is an important factor influencing the style characteristics of the end products, and if the data can be effectively predicted, the design efficiency of the fabric structure can be improved for designers of the products, and the design efficiency of the post-finishing related process can be improved for manufacturers of the products. At present, the thickness value of the fabric is obtained through actual measurement by a special testing instrument, namely, only inspection and evaluation can be carried out, but effective prediction cannot be realized, so that targeted control cannot be achieved.
Disclosure of Invention
In order to improve the structural design efficiency and the formulation efficiency of the after-finishing process of the wool type fabric, a prediction method of the grey cloth thickness of the wool type fabric is provided. The method is characterized in that on the basis of analyzing the geometrical relationship of a yarn interweaving structure, the interweaving structure is divided into 3 types, and 3 grey fabric thickness prediction models applied to different interweaving structure types are deduced and established by utilizing the technical data of traditional varieties, including related data of fabric tissues, the weft density and the warp density of grey fabric, the number of strands of weft yarns and warp yarns, the linear density of single-strand wool yarns in the weft yarns and the warp yarns, the average fiber number in the cross section, the average volume density of fibers used by the weft yarns and the warp yarns, weaving length shrinkage and the like.
The yarns used in wool-type fabrics are typically either doubled or singled. Suppose that: r represents the number of weft yarns in 1 weaving cycle of the fabric; u represents the number of times weft yarns are directly adjacent in the fabric weave; v represents the maximum number of times that 1 warp yarn is interwoven with weft yarns in the fabric weave; mwRepresenting a blankWeft density design value, root/10 cm; mjThe designed warp density value of the grey cloth is shown, and the root/10 cm; hwRepresents the average axial spacing, mum, of adjacent weft yarns in the grey cloth; hjRepresents the average axial spacing, mum, of adjacent warp yarns in the grey cloth; dwRepresents the equivalent diameter, μm, of the weft yarn in the blank; djRepresents the equivalent diameter, mum, of the warp yarns in the grey cloth; h iswThe buckling wave height of weft yarn in the grey cloth is expressed in mum; h isjThe buckling wave height of warp yarns in the grey cloth is expressed in mum; as shown schematically.
The grey fabric grey cloth thickness prediction model is different due to different grey cloth structure types, and the structural factors of the model are also different due to different grey cloth structure types, and relate to yarn interweaving rules, grey cloth weft density, grey cloth warp density, weft yarn fineness and warp yarn fineness. In actual application, on the basis of analyzing data related to fabric texture, parameter values required in model application are directly obtained by using the formulas (1), (2), (3) and (4) respectively according to design source data such as weft density and warp density of grey cloth, number of strands of weft yarn and warp yarn, linear density and average number of fibers in a cross section of single-strand wool yarns in the weft yarn and the warp yarn, and average volume density of fibers used in the cross section; the selection of the thickness prediction model is based on the existence condition of additional buckling wave height of weft and warp at the interweaving point in the grey cloth, so that the grey cloth structure type of the wool fabric is judged by respectively using a formula (5) and a formula (6), and then the prediction is carried out by using the corresponding prediction model, specifically the following steps:
the first step is as follows: calculating the average axial distance between adjacent yarns in grey fabric grey cloth
1. Calculating the average interaxial distance H between adjacent weft yarnsw
2. Calculating the average interaxial distance H between adjacent warp yarnsj
The second step is that: calculating the equivalent diameter of the yarn in the grey fabric grey cloth
1. Calculating the equivalent diameter D of the weftw
The equivalent diameter of the weft yarn is calculated using equation (3). In the formula, qwNumber of twisted strands (q) of weftw2 or qw＝1)；NtwRepresents the design linear density, tex, of the single-strand wool yarns in the weft; n iswThe average number of fibers in the cross section of a single-strand wool yarn in the weft yarn is expressed; gamma raywDenotes the average bulk density, g/cm, of the fibres used in the weft3。
2. Calculating the equivalent diameter D of the warpj
The equivalent diameter of the warp yarn was calculated using equation (4). In the formula, qjIndicates the number of plied ends (q) of the warpj2 or qj＝1)；NtjRepresents the design linear density, tex, of the single strand wool yarns in the warp; n isjRepresents the average number, root, of fibers in a cross section of a single strand of a wool yarn in the warp; gamma rayjRepresents the average bulk density, g/cm, of the fibres used in the warp3。
The third step: judging the grey fabric structure type of wool type fabric
And (3) judging the weft buckling wave structural phase and the warp buckling wave structural phase when the grey fabric structure reaches the equilibrium state by using the formulas (5) and (6).
Typically one of the following:
1. grey fabric structure type i: the simultaneous establishment of the relations (5) and (6) indicates that the weft additional buckling wave height and the warp additional buckling wave height will not exist in the fabric at the same time.
2. Grey fabric greige cloth structure type II: when the relation (5) is satisfied and the relation (6) is not satisfied, it is indicated that the warp additional buckling restrained wave height is present in the fabric, but the weft additional buckling wave height is not present in the fabric.
3. Grey fabric structure type iii: the simultaneous failure of the relations (5) and (6) indicates that the weft additional buckling wave height and the warp additional buckling wave height will be present in the fabric at the same time.
The fourth step: selecting a prediction model and predicting thickness data
Model 1: for predicting grey fabric thickness delta of wool type fabric with grey fabric structure of type I1μ m; as shown in equation (7).
δ1＝67.33691-47.42866R+98.19392U+1.005332Hw-1.232685Dw+0.8751514Dj(7)
Model 2: for predicting grey fabric thickness delta of wool type fabric with grey fabric structure of type II2μ m; as shown in equation (8).
Model 3: for predicting grey fabric thickness delta of wool type fabric with grey fabric structure of type III3μ m; as shown in equation (9).
Advantageous effects
The result shows that on the basis of judging the type of the yarn interweaving structure, the grey cloth thickness of the wool-type fabric can be quickly and effectively predicted by selecting the corresponding thickness prediction model, and the complex correlation coefficients of the 3 prediction models respectively reach 0.9975, 0.9771 and 0.8245, as shown in the data table of the attached 1, the data obtained by the verification experiment are in accordance with the convention, as shown in the corresponding column of the table 2 of the attached 2. Therefore, the structural design efficiency and the after-finishing process formulation efficiency of the wool-type fabric are improved.
Drawings
FIG. 1 is a schematic diagram showing analysis of buckling wave height when warp yarns and weft yarns are interwoven in a wool type fabric blank;
in the figure: along the warp direction of the blank of wool-type fabric, O1Indicates the position of the weft axis at a certain weft pattern point, O2Indicating the position of the weft yarn axes at adjacent warp structure points; hwRepresents the average axial spacing, mum, of adjacent weft yarns in the grey cloth; h iswThe buckling wave height of weft yarn in the grey cloth is expressed in mum; h isjThe buckling wave height of warp yarns in the grey cloth is expressed in mum; and delta represents the thickness of the grey cloth of the wool-type fabric, and is mum.
Detailed Description
The technical scheme of the invention is concretely explained in the following by combining the attached drawings.
In practical application, taking sample numbers 1, 2, 3, 4 and 5 as examples, according to the information shown in table 1 in table 2, analyzing the parameters related to the weave structure of the fabric, such as the data of R, U and V in table 2; then, according to design source data such as weft density and warp density of the grey cloth, the number of strands of the weft yarn and the warp yarn, the linear density of single-strand wool yarns in the weft yarn and the warp yarn, the average number of fibers in the cross section, the average volume density of the fibers used and the like, other parameter values required when the model is applied are obtained by using the formulas (1), (2), (3) and (4), as shown in the corresponding columns of the table 2 in the attached table 2; as shown in fig. 1, based on the existence of additional buckling wave height at the interweaving point between weft yarn and warp yarn in the gray fabric, for this purpose, the structural type of the gray fabric of the wool-type fabric is determined by using formulas (5) and (6), respectively, as shown in the corresponding column of table 2 in the attached table 2, and then the thickness value is predicted by using the corresponding prediction model, and the result is shown in the corresponding column of table 2 in the attached table 2, specifically as follows:
the first step is as follows: calculating the average axial distance between adjacent yarns in grey fabric grey cloth
1. Calculating the average interaxial distance H between adjacent weft yarnswThe results are shown in Table 2 in the following Table HwThe column data.
2. MeterCalculating the average axial spacing H of adjacent warp yarnsjThe results are shown in Table 2 in the following Table HjThe column data.
The second step is that: calculating the equivalent diameter of the yarn in the grey fabric grey cloth
1. Calculating the equivalent diameter D of the weftw
The equivalent diameter of the weft yarn is calculated using equation (3). In the formula, qwNumber of twisted strands (q) of weftw2 or qw＝1)；NtwRepresents the design linear density, tex, of the single-strand wool yarns in the weft; n iswThe average number of fibers in the cross section of a single-strand wool yarn in the weft yarn is expressed; gamma raywDenotes the average bulk density, g/cm, of the fibres used in the weft3. The results are shown in Table 2D of the accompanying Table 2wThe column data.
2. Calculating the equivalent diameter D of the warpj
The equivalent diameter of the warp yarn was calculated using equation (4). In the formula, qjIndicates the number of plied ends (q) of the warpj2 or qj＝1)；NtjRepresents the design linear density, tex, of the single strand wool yarns in the warp; n isjRepresents the average number, root, of fibers in a cross section of a single strand of a wool yarn in the warp; gamma rayjRepresents the average bulk density, g/cm, of the fibres used in the warp3. The results are shown in Table 2D of the accompanying Table 2jThe column data.
The third step: judging the grey fabric structure type of wool type fabric
And (3) judging the weft buckling wave structural phase and the warp buckling wave structural phase when the grey fabric structure reaches the equilibrium state by using the formulas (5) and (6).
The result is one of the following cases:
1. grey fabric structure type i: the simultaneous establishment of the relations (5) and (6) indicates that the weft additional buckling wave height and the warp additional buckling wave height will be absent from the fabric at the same time, as in the fabric structure types of the test pieces 1 and 2.
2. Grey fabric greige cloth structure type II: the fact that the relation (5) is satisfied and the relation (6) is not satisfied indicates that the weft-added buckling wave height is not present in the fabric, but the warp-added buckling wave height is present in the fabric, for example, the fabric structure types of the test pieces 3 and 4.
3. Grey fabric structure type iii: the simultaneous failure of the relations (5) and (6) indicates that the weft additional buckling wave height and the warp additional buckling wave height will be present in the fabric at the same time, as in the fabric structure type of sample No. 5.
The fourth step: selecting a prediction model and predicting thickness data
Model 1: the prediction of the thickness of the blank for the sample having structure type i and numbers 1 and 2, respectively, was performed using equation (7). The results are shown in Table 2 below for the data listed as "predicted thickness".
δ1＝67.33691-47.42866R+98.19392U+1.005332Hw-1.232685Dw+0.8751514Dj(7)
Model 2: the prediction of the thickness of the blank of type II, numbered 3 and 4, respectively, of the sample structure was performed using equation (8). The results are shown in Table 2 below for the data listed as "predicted thickness".
Model 3: the prediction of the thickness of the blank fabric of type III and number 5 was carried out using equation (9). The results are shown in Table 2 below for the data listed as "predicted thickness".
Attached 1: relevant data table of grey fabric grey cloth thickness prediction model
And (2) attached: verifying experimental relevant data
1. Test specimen and test
The sample types and associated source data are shown in table 1.
TABLE 1 sample types and associated Source data
The test method comprises the following steps: refer to the national standards GB/T3819 1997 determination of the thickness of textiles and textile products.
Testing an instrument: portable fabric thickness gauge.
2. Results of the experiment
TABLE 2 correlation analysis and calculation results
Claims (2)
1. A grey fabric thickness prediction method of wool fabrics is characterized in that an interweaving structure is divided into 3 types, and 3 grey fabric thickness prediction models applied to different interweaving structure types of wool fabrics are established by utilizing related data of fabric tissues of traditional varieties, weft density and warp density of the grey fabrics, number of strands of weft yarns and warp yarns, linear density of single-strand wool yarns in the weft yarns and the warp yarns, average fiber number in a cross section, average volume density of raw materials used by the weft yarns and the warp yarns and weaving length and shrinkage;
let R denote the fabric at1 number of weft yarns in a weave cycle; u represents the number of times weft yarns are directly adjacent in the fabric weave; v represents the number of times that 1 warp yarn and weft yarn are interwoven in the fabric structure; mwShowing the weft density design value of the grey cloth, root/10 cm; mjThe designed warp density value of the grey cloth is shown, and the root/10 cm; hwRepresents the average axial spacing, mum, of adjacent weft yarns in the grey cloth; hjRepresents the average axial spacing, mum, of adjacent warp yarns in the grey cloth; dwRepresents the equivalent diameter, μm, of the weft yarn in the blank; djRepresents the equivalent diameter, mum, of the warp yarns in the grey cloth; h iswThe buckling wave height of weft yarn in the grey cloth is expressed in mum; h isjThe buckling wave height of warp yarns in the grey cloth is expressed in mum;
the prediction steps are as follows:
step 1) calculating the average axial distance between adjacent yarns in grey fabric grey cloth
1-1) calculating the average interaxial distance H of adjacent weft yarnsw
1-2) calculating the average interaxial distance H of adjacent warp yarnsj
Step 2) calculating the equivalent diameter of the yarn in the grey fabric grey cloth
2-1) calculating the equivalent weft diameter Dw
Calculating the equivalent diameter of the weft yarn by using the formula (3); in the formula, qwDenotes the number of twisted pairs of weft yarns, qw2 or qw＝1；NtwRepresents the design linear density, tex, of the single-strand wool yarns in the weft; n iswThe average number of fibers in the cross section of a single-strand wool yarn in the weft yarn is expressed; gamma raywDenotes the average bulk density, g/cm, of the fibres used in the weft3；
2-2) calculating the equivalent diameter D of the warpj
Calculating the equivalent diameter of the warp yarn by using the formula (4); in the formula, qjRepresenting the number of plies of the warp, qj2 or qj＝1；NtjRepresents the design linear density, tex, of the single strand wool yarns in the warp; n isjRepresents the average number, root, of fibers in a cross section of a single strand of a wool yarn in the warp; gamma rayjRepresents the average bulk density, g/cm, of the fibres used in the warp3；
Step 3) judging the grey fabric structure type of the wool type fabric
Judging a weft buckling wave structural phase and a warp buckling wave structural phase when the gray fabric structure reaches the equilibrium state by using the formulas (5) and (6);
step 4), selecting a prediction model and predicting thickness data;
in the step 3), the step (c),
typically one of the following:
A. grey fabric structure type i: the relations (5) and (6) are simultaneously established, which shows that the weft additional buckling wave height and the warp additional buckling wave height do not exist in the grey cloth at the same time;
B. grey fabric greige cloth structure type II: the fact that the relation (5) is established and the relation (6) is not established indicates that the weft additional buckling wave height does not exist in the grey cloth, but the warp additional buckling wave height exists;
C. grey fabric structure type iii: the simultaneous failure of the relations (5) and (6) indicates that the weft additional buckling wave height and the warp additional buckling wave height will be present in the fabric at the same time.
2. The method of claim 1, wherein the predicting step 4) comprises:
model 1: for predicting grey fabric thickness delta of wool type fabric with grey fabric structure of type I1μ m; as shown in equation (7);
δ1＝67.33691-47.42866R+98.19392U+1.005332Hw-1.232685Dw+0.8751514Dj(7)
model 2: for predicting grey fabric thickness delta of wool type fabric with grey fabric structure of type II2μ m; as shown in equation (8);
model 3: for predicting grey fabric thickness delta of wool type fabric with grey fabric structure of type III3μ m; as shown in equation (9);
in the prediction equations (7), (8) and (9), R represents the number of weft yarns in 1 weaving cycle of the fabric; u represents the number of times weft yarns are directly adjacent in the fabric weave; v represents the maximum number of times that 1 warp yarn is interwoven with weft yarns in the fabric weave; hwRepresents the average axial spacing, mum, of adjacent weft yarns in the grey cloth; hjRepresents the average axial spacing, mum, of adjacent warp yarns in the grey cloth; dwRepresents the equivalent diameter, μm, of the weft yarn in the blank; djRepresents the equivalent diameter, μm, of the warp yarns in the blank.
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