CN102926116A - Method for weaving variable-cross section cylindrical fabric and mathematical model - Google Patents

Abstract

The invention discloses a method for weaving a variable-cross section cylindrical fabric by use of a computerized flat knitting machine and a mathematical model thereof, and further discloses a special variable-cross section cylindrical fabric, a narrowing method of a baggy fabric and a mathematical model. The method can reasonably select the needle number of a knitting needle, the movement of a needle bed, the coil transfer, the coil density and the like, facilitates the weaving of a stereo forming fabric and has strong forming ability and high efficiency.

Description

A kind of method and mathematical modeling that weaves the cylindrical fabric of variable cross-section

Technical field

The present invention relates to a kind of weaving techniques, particularly utilize method and the mathematical modeling of the cylindrical fabric of Computerized flat knitting machine braiding variable cross-section.

Background technology

Computerized flat knitting machine is a kind of fashioned knitting machinery, the plane or the three-dimensional garment piece that can disposable braiding have definite shape, even on machine once property knit out a complete clothes, need not to sew up or only need a little stitching behind the lower machine.It is the parameters such as movement that set needle selection pin number, braid method (lopping, tuck or flotation line), needle-bar that but Computerized flat knitting machine needs the people, this just needs the relation of each parameter of research, find out suitable Mathematical Modeling, accurate technological parameter, thus convenient, fast and accurately knit out required fabric.

Summary of the invention

The purpose of this invention is to provide a kind of method and Mathematical Modeling thereof that weaves the cylindrical fabric of variable cross-section.For achieving the above object, the present invention takes following technical proposals to realize:

A kind of method that weaves the cylindrical fabric of variable cross-section, the step of described method comprises: a. plays row's pin number that spot diameter is determined the front and back needle-bar according to cylinder, b. the pin number that needle-bar should reach at last before and after determining according to cylinder terminal point diameter, c. according to height and the vertical close last line number of determining, d. counts arrangement narrowing scheme according to line number and last pin.

Further, the Mathematical Modeling of described method is: $N_i=\frac{{\mathrm{\πa}}_i{P}_A}{10},$ $\mathrm{\ω}={10}^6{N}_{t}l\underset{i=1}{\overset{n}{\mathrm{\Σ}}}\frac{{\mathrm{\πa}}_i{P}_A}{10},$ Wherein a is the radius (cm) of cylindrical cross section, P _A(the stringer number/10cm), ω is fabric weight (g), and N is pin number (round numbers), N for horizontal stroke is close _tFor the yarn wire size is counted figure, l is loop length (mm).

Further, weave the special cylindrical fabric of variable cross-section, namely during bag shaped structure, the narrowing method is for utilizing both sides knitting needle held loop, and knitting needle carries out the needle selection lopping in the middle of utilizing.

The Mathematical Modeling of braiding bag shaped structure is $N_i=\frac{L_i{P}_A}{10},$ $N_i=\frac{P_A}{20}\left(\mathrm{a\π}{L}_i\right),$

Wherein a is the radius (cm) of cylindrical cross section, P _A(the stringer number/10cm), ω is fabric weight (g), and N is pin number (round numbers), N for horizontal stroke is close _tFor the yarn wire size is counted figure, L is the braiding curve, and l is loop length (mm).

Compared with prior art, the present invention has the following advantages: the method that the cylindrical fabric of braiding variable cross-section is provided, and draw its Mathematical Modeling, when utilizing Computerized flat knitting machine to weave, the needle selection pin number of selection knitting needle that can be appropriate, the movement of needle-bar, the transfer of coil and the parameters such as density of coil, more convenient, weave stereo fabric efficiently, and crystallized ability is strong.

Description of drawings

Fig. 1 is cylindrical needle weaving textile figure.

Fig. 2 is the graph of a relation of widening number and line number.

Fig. 3 is the bag shaped structure stereogram.

Fig. 4 is that bag shaped structure launches schematic diagram.

The specific embodiment

The present invention is described in further detail below in conjunction with embodiment.

The basis of the cylindrical fabric of variable cross-section is cylindrical fabric.At first describe the braiding of cylindrical fabric in detail in conjunction with Fig. 1.

Weave the principle that cylindrical fabric is based on pipe-type woven, two-layer before and after imaginary tubing becomes in order to weave at Computerized flat knitting machine, two-layer edge still has yarn to link to each other.Anterior layer is front needle-bar braiding like this, and rear layer is by rear needle-bar braiding.Fig. 1 is the weave diagram of cylindrical needle fabric.As shown in Figure 1, front needle-bar A braiding anter a, rear needle-bar B braiding rear panel b, both sides link to each other by edge line c.

The specification requirement of braiding mainly comprises following:

A. the quantity of needle-bar row pin is identical before and after;

B. the count of needle-bar is consistent before and after;

C. knitting needle is the rib-loop configuration;

d.S=T；

E. needle-bar weaves in turn before and after.

According to above-mentioned specification requirement, can calculate its Mathematical Modeling and be:

$N=\frac{{\mathrm{\πap}}_A}{10},$

ω=2×10 ⁸πaHNtlP _AP _B，

Wherein a is the radius (cm) of cylindrical cross section, P _ABe horizontal stroke close (stringer number/10cm), P _BClose (walk crosswise that number/10cm) ω is fabric weight (g), N is pin number (round numbers), N for vertical _tFor the yarn wire size is counted figure, l is loop length (mm).

The cylindrical fabric of braiding variable cross-section is the diameter that changes cylinder than above-mentioned cylindrical fabric key.And the method that changes fabric drum diameter generally has two kinds, and a kind of is to change its density, and another kind is to change the pin number.Change density and be only applicable to the little stereo fabric of vary in diameter.Mainly be to change its pin number when therefore weaving the cylindrical fabric of variable cross-section.

Therefore, the method for the cylindrical fabric of braiding variable cross-section may further comprise the steps:

A. play row's pin number that spot diameter D1 determines the front and back needle-bar according to cylinder;

B. the pin number that needle-bar should reach at last before and after determining according to cylinder terminal point diameter D2;

C. according to height and the vertical close last line number of determining;

D. count arrangement narrowing scheme according to line number and last pin.

The crucial part of above-mentioned steps is to determine rationally that according to the variation of drum diameter folding and unfolding changes progression and variable density progression.Fig. 2 is the graph of a relation of widening number and line number.Wherein L1 is actual braiding curve, and L is design curve, and N1 is row's pin number corresponding to D1, and N2 is row's pin number corresponding to D2, and b is widening progression, a by widening once the line number of process.

As can be seen from Figure 2, when a, b classification are thinner, actual curve L1 and design curve L are more approaching, but because the minimum unit of knitwear is coils, L1 can not overlap fully with L.

According to above-mentioned analysis, the Mathematical Modeling that can calculate the cylindrical fabric of variable cross-section is:

$N_i=\frac{{\mathrm{\πa}}_i{P}_A}{10},$

$\mathrm{\ω}={10}^6{N}_{t}l\underset{i=1}{\overset{n}{\mathrm{\Σ}}}\frac{{\mathrm{\πa}}_i{P}_A}{10},$

Wherein a is the radius (cm) of cylindrical cross section, P _A(the stringer number/10cm), ω is fabric weight (g), and N is pin number (round numbers), N for horizontal stroke is close _tFor the yarn wire size is counted figure, l is loop length (mm).

In another embodiment of the present invention, weave the special cylindrical fabric of variable cross-section, during baggy fabric, the narrowing method of baggy fabric structure is to utilize both sides knitting needle held loop, knitting needle carries out the needle selection lopping in the middle of utilizing.Utilize aforementioned braid method can weave as shown in Figure 3 oval position, and be combined into inwards, outside arch.

Fig. 3 is the bag shaped structure stereogram, and Fig. 4 is that bag shaped structure launches schematic diagram, and in conjunction with Fig. 3 and Fig. 4, e1 and f1 are respectively two end points in bag shaped structure section upper end, and e2 and f2 are respectively two end points of bag shaped structure section lower end.L1 is the length between e1 and the f1, and Ln is the length between e2 and the f2, and Li is the length of optional position between L1 and the Ln.

The Mathematical Modeling that weaves this bag shaped structure is:

$N_i=\frac{L_i{P}_A}{10},$

$N_i=\frac{P_A}{20}\left(\mathrm{a\π}{L}_i\right),$

$\mathrm{\ω}{=\mathrm{\ω}}_1+{\mathrm{\ω}}_2+2\×{10}^6{N}_{t}l\underset{i=1}{\overset{n}{\mathrm{\Σ}}}\frac{L_i{P}_A}{10},$

Wherein a is the radius (cm) of cylindrical cross section, P _A(the stringer number/10cm), ω is fabric weight (g), and ω 1 is fabric weight corresponding to L1 (g), and ω 2 is fabric weight corresponding to Ln (g), and N is pin number (round numbers), N for horizontal stroke is close _tFor the yarn wire size is counted figure, L is the braiding curve, and l is loop length (mm).

In sum, the invention provides a kind of method that weaves the cylindrical fabric of variable cross-section, and calculate its Mathematical Modeling, according to the method and model, can accurately design the technological parameter of braiding, more convenient, weave required fabric efficiently, and crystallized ability is strong, promotes the production technology level of the fabric such as sweater.

Although the present invention with preferred embodiment openly as above; but it is not to limit the present invention; any those skilled in the art without departing from the spirit and scope of the present invention; can utilize method and the technology contents of above-mentioned announcement that technical solution of the present invention is made possible change and modification; therefore; every content that does not break away from technical solution of the present invention; to any simple modification, equivalent variations and modification that above embodiment does, all belong to the protection domain of technical solution of the present invention according to technical spirit of the present invention.

Claims (4)

1. method that weaves the cylindrical fabric of variable cross-section, it is characterized in that, the step of described method comprises: a. plays row's pin number that spot diameter is determined the front and back needle-bar according to cylinder, b. the pin number that needle-bar should reach at last before and after determining according to cylinder terminal point diameter, c. according to height and the vertical close last line number of determining, d. counts arrangement narrowing scheme according to line number and last pin.

2. method according to claim 1 is characterized in that, the Mathematical Modeling of described method is:

Wherein a is the radius (cm) of cylindrical cross section, P _A(the stringer number/10cm), ω is fabric weight (g), and N is pin number (round numbers), N for horizontal stroke is close _tFor the yarn wire size is counted figure, l is loop length (mm).

3. method according to claim 1 is characterized in that, during the braiding bag shaped structure, the narrowing method is for utilizing both sides knitting needle held loop, and knitting needle carries out the needle selection lopping in the middle of utilizing.

4. method according to claim 3 is characterized in that, the Mathematical Modeling of braiding bag shaped structure is $N_i=\frac{L_i{P}_A}{10},$ $N_i=\frac{P_A}{20}\left(\mathrm{a\π}{L}_i\right),$ $\mathrm{\ω}={\mathrm{\ω}}_1+{\mathrm{\ω}}_2+2{\×10}^6{N}_{t}l\underset{i=1}{\overset{n}{\mathrm{\Σ}}}\frac{L_i{P}_A}{10},$ Wherein a is the radius (cm) of cylindrical cross section, P _A(the stringer number/10cm), ω is fabric weight (g), and N is pin number (round numbers), N for horizontal stroke is close _tFor the yarn wire size is counted figure, L is the braiding curve, and l is loop length (mm).

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