1. Derivation of simple calculation formula for slub yarn
As we all know, slub yarns are thick or thin, and the parameters include base yarn number, slub number (magnification), average number, slub length (node length), slub spacing (pitch), etc. , due to the special structure of slub yarn, the cloth style is closely related to its parameters. Through the changes of different slub yarn parameters, colorful and different styles of slub yarn can be developed.
According to the structural characteristics of slub yarn , we can simplify the relationship between the relevant parameters of slub yarn as shown in Figure 1
Figure 1 Schematic diagram of various parameters of slub yarn
The red line in Figure 1 represents the base yarn number, which is the thinner part of the slub yarn; the blue line represents the slub number, which is the thicker part of the slub yarn; the green line represents the average number, is the average yarn thickness of slub yarn. It can be seen that the area of the pink shaded part in Figure 1 should be the same as that of yellow-red. The area of the shaded part is equal, and the area of the pink shaded part can be simplified to the product of the difference between the bamboo number and the average number and the average node length, and the area of the yellow shaded part can be simplified to the average number and the base yarn number. The product of the difference and the average pitch, so it can be deducedSimple calculation formula for deriving slub yarn parameters:
=——(1)
2. Simple calculation of slub yarn parameters Application examples of formulas
For example: the average number of slub yarn is 18.5tex, the section length is 12~26cm, the pitch is 30-46cm, the slub magnification is 2, find the base yarn number.
Suppose the base yarn number is T, then the bamboo knot number is 2T, the average knot length is (12+26)/2=19cm, the average pitch is (30+46)/2=38cm, so 19 /38=（18.5-T）/（2T-18.5），T=13.9tex.
Similarly, as long as you know several other parameters of slub yarn, you can use this formula to calculate it easily Output parameters such as average node length, average pitch, magnification, number of bamboo nodes, etc.
3. Expanded application of simple calculation formulas for slub yarn parameters
Using the principle of simplifying the diagram of the relationship between slub yarn parameters, not only can the simple calculation formula of the slub yarn parameters be derived, but the application scope can also be expanded to deduce the relevant parameters of the segmented yarn, for example, according to the customer’s requirements parameters such as the ratio of the segmented yarns, you can use this figure to deduce the simple parameters related to the segmented yarns.Calculation formula:
Base yarn ratio/segment color ratio=[base yarn number × (section length + pitch)] /[Basic yarn number × (magnification-1) × section length]
=——(2)
or:
The proportion of fibers in the color section=
=——(3)
For example: the customer requires the production of 20tex segment colored yarn with a ratio of two raw materials (base yarn/auxiliary yarn) of 80/20. The average pitch length is 10cm and the average pitch is 30cm. So how to design the base yarn? Only with auxiliary yarn can we produce segmented yarn that meets customer requirements?
We can use formula (2) to calculate Output magnification:
Because: 40/20=(10+30)/[(magnification-1)×10]
So: magnification=2
Use formula (2) to calculate the base yarn number:
because: 20% =[(2-1)×Basic yarn number×10]/ [20×(10+30)]
So: base yarn number=16tex
4. Conclusion
New yarns such as slub yarn and segmented yarn need to be designed with many parameters. Some craftsmen often feel unable to start when they first carry out process design. However, as long as the relationship between these parameters is carefully analyzed, Able to customize according to the conditions given by the customerSimple calculation formulas for relevant process parameters have been derived, thereby improving the first-time success rate of process design.
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