EP3327184A1 - Rotor spinning method and device for four-sliver asynchronous inputting and three-level carding - Google Patents

Abstract

A multi-level carding rotor spinning method and device. The device includes a spinning system and a computer control system. The spinning system includes a feeding and carding mechanism, a collecting and twisting mechanism, and a winding mechanism. The feeding and carding mechanism includes combined feeding rollers (2-5, 2-6, 2-7, 2-8) having four rotational freedom degrees and multiple levels of carding rollers (2-10, 2-11, 2-12). The speed ratio of four rollers of the combined feeding rollers having four rotational freedom degrees can be adjusted, so that the linear density and the blending ratio of rotor spun yarns are randomly adjusted.

Description

Technical field
• The present invention relates the field of rotor spinning in the textile industry.
Background
• The basic principle of the rotor spinning yarn is that the sliver is fed through the trumpet and is held by feeding plate and a feeding roller. The feeding roller rotates to feed the sliver to the carding area. The sliver is opened and stripped, carded separately and mixed by the carding roller, which is rotating at a high speed in the carding area, so that the sliver becomes single fibers which are separated and arranged in parallel to each other. The single fibers enter into a fiber transport channel. Under the action of air flow, the fiber flows into the rotor through the fiber transport channel. Under the centrifugal force of the rapidly rotating rotor, the fibers in the collection groove are further piled up and mixed, and then the fibers are jointed with the mother-yarn and twisted by a navel to form a yarn.
• In the Patent "Rotor spinning melange yarn forming method and device and product (Application No. CN201410190891.1 )" and" Device of spinning rotor spun melange yarn ( CN201420229715.X )", the speed of the feeding roller is controlled to keep feeding in a invariable amount, or two or more drawn silvers are fed in segments in different amounts, resulting in that the blending ratio has monochromatic or multi-colored fibers mixture, so as to achieve an effect that the blending ratio can be adjusted while the density of the spun yarn is invariable. However, these two inventions have two problems. First, in these inventions, only the concept of realizing the blending and segment-color spinning process with invariable linear density through the proposed coupling and drafting method, and no indication is given to show how to change the mixing ratio or color blending ratio under the condition that the coupling and drafting achieves an invariable linear density. In the meantime, no specific embodiments and examples are disclosed. Second, a conventional single carding roller is still used in those patent applications. When three slivers are fed at the same time, the original carding and drafting system cannot adequately strip, card, separate and mixt a plurality of slivers, which will cause inadequate break down of fiber strands, resulting in blocking the carding roller and rotor, and will be prone to yarn broken and slub, nep and other defects. At the same time, although the total amount of each sliver by coupling and feeding is invariable, there is still a difference in the feeding amount of each sliver, and the short carding area causes little chance of horizontal fiber mixing, resulting in unsatisfactory color blending effect.
• At present, the patent Method and equipment for rotor spun slub yarn" (patent number CN00137211.4 ) can achieve invariable blending ratio but the linear density changes during the rotor spinning process. The principle of the patent is that the asynchronous motor and the stepper motor drive feeding roller through the differential, screw and worm wheel. The stepper motor, under the control of the intelligent controller, performs the following operations: reducing from high speed to low speed; continuing to run for a period of time; accelerating to high speed; continuing to run for a period of time, and the rotor spins a segment of slub yarn. The patent can produce a yarn with variable densities but cannot change blending ratios of the yarn.
• The production of the yarn with the linear density and blending ratio both changed requires not only that the feeding amount of the two or more of the fed roving can be controlled separately on line, but also that the total amount of the fed roving can be controlled when the feeding amount the roving is changed. There is no patent that can achieve the production of such yarn. The main problem of the existing rotor spinning technology which can produce the yarn having an invariable linear density and blending ratio is that it is impossible to blend two or more fibers in any proportion during the rotor spinning process.
Summary of the Invention
• In order to solve the above problem, the present invention improves the structure of the conventional rotor spinning machine. A device for implementing a rotor spinning method with three-level carding and multi-component feeding, includes a spinning system and a computer control system. The spinning system comprises a feeding and carding mechanism, a collecting and twisting mechanism, and a winding mechanism. The device is characterized in that the feeding and carding mechanism comprises a three-level carding roller and a combined feeding roller having four rotational freedom degrees. The speed ratio of the four combined feeding rollers with rotational freedom degree can be adjusted. The collecting and twisting mechanism includes a fiber transport channel, a rotor, and a drafting device. The winding mechanism includes a couple of guide rollers and a winding mechanism. The computer control system includes a PLC programmable controller, a servo driver, a servo motor. The four combined feeding rollers with rotational freedom degrees and the three-level carding roller are driven by the servo motor. The combined feeding rollers with four rotational freedom degrees comprises a shaft, a bearing, a hollow shaft, a first gear, a second gear, a third gear, a fourth gear, a washer, a first movable roller, a second movable roller, a third movable roller, and a fourth movable roller. The first gear, the second gear, the third gear, the fourth gear, the first movable roller, the second movable roller, the third movable roller, and the fourth movable roller rotate around the same axis. The first to the fourth gears respectively drive the first to the fourth movable rollers. The three-level carding roller comprises the first carding roller, the second carding roller and the third roller, arranged in parallel. The rotation speed of the three-level carding roller is progressively increased from the first level to the third level. The rotation speed of the first carding roller is 1500-3000 rpm, the rotation speed of the second carding roller is 3000-6000 rpm, and the rotation speed of the third carding roller is 6000-12000 rpm. The density of carding needles of the three-level carding roller progressively increases from the first carding roller to the third carding roller..
• The other objective of the present invention is to provide a rotor spinning method using the above device. The method includes cotton feeding, carding, collecting and twisting, guide and winding. The method is characterized in that combined feeding rollers with four rotational freedom degrees are used in the fiber feeding to feed the fiber into the carding area asynchronously, and three-level carding roller is used in the carding process.
• With the combined rollers and the three-level carding roller configured in the present invention, four slivers (or four different raw material slivers, or four kinds of colored slivers, hereinafter referred to as four components) can be asynchronously fed into the rotor spinning and carding area through the combined feeding rollers. After opening, carding, orienting, separating and mixing by the three-level carding roller, the two slivers are gradually combed into bundle fibers and further combed into single fibers. Under the action of centrifugal force and air flow, a continuous flow comprised by single fibers, released and transferred from the carding roller, enters into the rotor rotating at a high speed. In the rotor, the fiber flow, under the centrifugal force, is collected together into a sliver again, and then twisted by the navel, and then guided by the guide roller to form the rotor spinning yarn. In the process of spinning, the servo driving system is controlled by a computer program to feed four slivers asynchronously to the carding area by feeding rollers having four freedom degrees. By controlling the feeding amount and feeding ratio of the four feeding rollers, it is possible to dynamically configure the final yarn density of the rotor spinning and the blending ratio of the four components to produce slub yarn, segment-color yarn, segment-color slub yarn, and mélange yarn.
• The speed of the first carding roller is low, so that it is ensured that when the plurality of the slivers with great difference are fed, the total number of carding fibers of each sliver carded by the carding roller is within a reasonable range, thereby reducing damage to the fiber. The speed of the second carding roller is higher than that of the first carding roller. After being carded by the second carding roller, the longitudinal orientation of the fiber is optimized, horizontal transfer mixing of the fiber is further optimized. The third carding roller is a high-speed carding roller. The fiber, after being carded by the third carding roller, obtains not only a better carding and transfer, but also the transport speed is improved, thereby meeting the requirement of centrifugal force for entering the fiber transport channel. Therefore, the fiber can smoothly and orderly go into the rotor to form yarns. Through the multi-level stripping, opening, cleaning, carding, separating, and transferring, the large-scale drafting function where the slivers are combed into web, which is then combed into bundles of fibers, which are then separated as single fibers is successfully completed, which enhances the function of the carding area of the rotor spinning, providing flexibility, high efficiency, and high yield.
• (2) Based on the mechanical innovation design, the present invention constructs the corresponding mathematical model of spinning and the algorithm of the program. Through the mechatronic servo control system, the random control of the linear density and blending ratio of the rotor spinning yarn are achieved. In specific embodiments, the four kinds of spinning yarns are shown as following:
• ① a yarn with invariable linear density and variable blending ratio, such as gradient-color or segment-color yarn with an invariable linear density segment;
• ② a yarn with invariable blending ratio and variable linear density, such as slub yarn, big-belly yarn, dot yarn;
• ③ a yarn with variable linear density and variable blending ratio, such as segment-color slub yarn, segment-color big-belly yarn, segment-color dot yarn;
• ④ a yarn with invariable linear density and invariable blending ratio but mixed with any proportion of blended yarn or color-mixed yarn.
Brief description of the drafting s
• FIG.1 is a flowchart of the rotor spinning.
• FIG.2 is a diagram of the carding and drafting process of the rotor spinning method with three-level carding roller.
• FIG.3 is a diagram showing the transmission of the feeding roller, wherein.3b is the right-side view of 3a.
• FIG.4 is a structural view of the combined feeding roller.
• FIG.5 is a diagram of a spinning control system with four components asynchronous fed and carded
• FIG.6 is a diagram of a control model of a rotor spinning yarn system with four components asynchronous input.
  • 1-1, 1-2, 1-3: carding roller; 1-4, 1-5: trash ejection port; 1-6: feeding roller; 1-7: sliver; 1-8: compression spring; 1-9: feeding plate; 1-10: fiber transport channel; 1-11: navel; 1-12: rotor; 1-13: degassing hole; 1-14, 1-15: guide roller, 1-16: yarn;
  • 2-5, 2-6, 2-7, 2-8: feeding roller; 2-1, 2-2, 2-3, 2-4: sliver; 2-9: feeding plate; 2-10, 2-11, 2-12: carding roller; 2-13: fiber flow; 2-14: rotor; 2-15: yarn;
  • 3a-5, 3a-6, 3a-7, 3a-8: rollers; 3a-1, 3a-2, 3a-12, 3a-13: gears; 3a-3, 3a-4, 3a-9, 3a-10: idler gear; 3a-11: roller shaft; 3a-14, 3a-15, 3a-16: carding roller, 3a-17: spun yarn, 3b-1: gear; 3b-2: roller; 3b-3, 3b-4, 3b-5, 3b-6: gears;
  • 4-1, 4-2, 4-3, 4-4: rollers; 4-5, 4-6, 4-12, 4-15: gears; 4-7, 4-11, 4-14: key; 4-8: fixed shaft sleeve; 4-9: screw; 4-10: bearing; 4-13: shaft. Four movable rollers (4-1, 4-2, 4-3, 4-4) are driven by the gears (4-5, 4-6, 4-12, 4-15) respectively.
Detailed description of the Invention
• The meaning of the formula used in the text:
• V₀₁: linear velocity of the feeding roller 1; V₀₂: linear velocity of the feeding roller 2; V₀₃: linear velocity of the feeding roller 3; V₀₄: linear velocity of the feeding roller 4; V₁: the linear velocity of the carding roller 1; V₂: the linear velocity of the carding roller 2; V₃: the linear velocity of the carding roller 3; V₄: the linear speed of the rotor; V₅: the linear velocity of the guide roller.
• ρ₁: linear density of sliver A (g / m)
• ρ₂: linear density of sliver B (g / m)
• ρ₃: linear density of sliver C (g / m)
• ρ₄: linear density of sliver D (g / m)
• ρ: yarn density (g / m);
• ρ₁₁: linear density of the sliver A passing through the carding roller 1 (g / m)
• ρ₁₂: linear density of the sliver A passing through the carding roller 2 (g / m)
• ρ₁₃: linear density of the sliver A passing through the carding roller 3 (g / m)
• ρ₁₄: linear density of the sliver A in the rotor (g / m)
• ρ₂₁: linear density of the sliver B passing through the carding roller 1 (g / m)
• ρ₂₂: linear density of the sliver B passing through the carding roller 2 (g / m)
• ρ₂₃: linear density of the sliver B passing through the carding roller 3 (g / m)
• ρ_24: linear density of the sliver B in the rotor (g / m)
• ρ₃₁: linear density of the sliver C passing through the carding roller 1 (g / m)
• ρ₃₂: linear density of the sliver C passing through the carding roller 2 (g / m)
• ρ₃₃: linear density of the sliver C passing through the carding roller 3 (g / m)
• ρ₃₄: sliver C linear density in the rotor (g / m)
• ρ₄₁: linear density of the sliver D passing through the carding roller 1 (g / m)
• ρ₄₂: linear density of the sliver D passing through the carding roller 2 (g / m)
• ρ₄₃: linear density of the sliver D passing through the carding roller 3 (g / m)
• ρ₄₄: linear density of the sliver D in the rotor (g / m)
• E₁: draft ratio of the carding roller 1 to the feeding roller;
• E₂: draft ratio of the carding roller 2 to the carding roller 1;
• E₃: draft ratio of the carding roller 3 to the carding roller 2;
• E₄: draft ratio of the rotor to the carding roller 3;
• E₅: draft ratio of the guide roller to the rotor;
• E: The total draft ratio of rotor spinning, which is equal to the draft ratio of the guide roller to the feeding roller.
• Subscripts 1, 2, 3, 4 respectively represent component A, component B, component C, component D.
(1) three-level roller carding process design:
• As to feeding a plurality of the slivers, when the feeding speeds of feeding rollers are greatly different, the fiber holding time of each component is also greatly different. In the rotor spinning with single carding roller, due to the need of balancing the stripping /carding fibers, as well as the requirement of the fiber speed when transferring to the fiber transport channel, the rotation speed of the single carding roller is high. Therefore, when there is a significant difference in feeding amount, the number of times that a fiber of the four slivers is carded will be significantly different, and the more the fiber experiences carding, the larger will be the damage to this fiber.
• In order to solve the problem of the rotation speed of the carding roller against the damage to fiber and the even mixture of fibers, the present invention adopts the form of three-level carding rollers, that is, the first carding roller, the second carding roller and the third carding roller. The rotation speed of the first carding roller (ω = 1500-3000rpm) is relatively low, the needle density is relatively low, the working angle of the needle is relatively small. It is mainly configured for stripping, opening, cleaning and carding and focusing on making the total carding number of fibers of each sliver within a reasonable range, thereby reducing damage to the fiber. The speed of the second carding roller (ω = 3000-6000rpm) is mainly configured for stripping, carding and transferring fibers, wherein the needle density is also larger than the needle density of the first carding roller, and the working angle of the needle is relatively larger than that of the first carding roller. After being carded by the second carding roller, the longitudinal orientation of the fiber is optimized, and horizontal transfer mixing of the fiber is further optimized. The third carding roller is a high-speed carding roller (ω =6000-12000 rpm), which is mainly configured for stripping, carding and separating, and transferring fibers, wherein the needle density is larger than the needle density of the second carding roller, and the working angle of the needle is largest. Fibers passing through the third carding roller gets better carding and transfer. Furthermore, due to the high speed of the third carding roller, under the action of centrifugal force and air flow, a highly separated and continuous fiber flow passes through the fiber transport channel and enters orderly into the rotor to form yarns.
• Through the stripping, opening, cleaning, carding, and transfer of the three-level carding roller, the large-scale drafting function, where the slivers are combed into web, which is then combed into fiber bundles, which are separated into single fibers, is successful completed, which enhances the function of the carding area of the rotor spinning, meets the special requirements for the carding of multiple slivers asynchronously feeding into the rotor spun unit. The effects of flexibility, high efficiency, and high yield are realized.
(2) Draft ratio of the rotor spun yarn:
• $${\mathrm{E}}_1=\frac{\left({\mathrm{\rho }}_1+{\mathrm{\rho }}_2+{\mathrm{\rho }}_3+{\mathrm{\rho }}_4\right){\mathrm{V}}_1}{{\mathrm{\rho }}_1{\mathrm{V}}_{01}+{\mathrm{\rho }}_2{\mathrm{V}}_{02}+{\mathrm{\rho }}_3{\mathrm{V}}_{03}+{\mathrm{\rho }}_4{\mathrm{V}}_{04}}=\frac{{\mathrm{\rho }}_1+{\mathrm{\rho }}_2+{\mathrm{\rho }}_3+{\mathrm{\rho }}_4}{{\mathrm{\rho }}_{11}+{\mathrm{\rho }}_{21}+{\mathrm{\rho }}_{31}+{\mathrm{\rho }}_{41}}$$

  

  $${\mathrm{E}}_2=\frac{{\mathrm{V}}_2}{{\mathrm{V}}_1}=\frac{{\mathrm{\rho }}_{11}+{\mathrm{\rho }}_{21}+{\mathrm{\rho }}_{31}+{\mathrm{\rho }}_{41}}{{\mathrm{\rho }}_{12}+{\mathrm{\rho }}_{22}+{\mathrm{\rho }}_{32}+{\mathrm{\rho }}_{42}}$$

  

  $${\mathrm{E}}_3=\frac{{\mathrm{V}}_3}{{\mathrm{V}}_2}=\frac{{\mathrm{\rho }}_{12}+{\mathrm{\rho }}_{22}+{\mathrm{\rho }}_{32}+{\mathrm{\rho }}_{42}}{{\mathrm{\rho }}_{11}+{\mathrm{\rho }}_{23}+{\mathrm{\rho }}_{33}+{\mathrm{\rho }}_{43}}$$

  

  $${\mathrm{E}}_4=\frac{{\mathrm{V}}_4}{{\mathrm{V}}_3}=\frac{{\mathrm{\rho }}_{13}+{\mathrm{\rho }}_{23}+{\mathrm{\rho }}_{33}+{\mathrm{\rho }}_{43}}{{\mathrm{\rho }}_{14}+{\mathrm{\rho }}_{24}+{\mathrm{\rho }}_{34}+{\mathrm{\rho }}_{44}}$$

  

  $${\mathrm{E}}_5=\frac{{\mathrm{V}}_5}{{\mathrm{V}}_4}=\frac{{\mathrm{\rho }}_{14}+{\mathrm{\rho }}_{24}+{\mathrm{\rho }}_{34}+{\mathrm{\rho }}_{44}}{\mathrm{\rho }}$$

  

  $$\mathrm{E}={\mathrm{E}}_1\ast {\mathrm{E}}_2\ast {\mathrm{E}}_{\mathrm{3}}\ast {\mathrm{E}}_4\ast {\mathrm{E}}_5=\frac{\left({\mathrm{\rho }}_1+{\mathrm{\rho }}_2+{\mathrm{\rho }}_3+{\mathrm{\rho }}_4\right){\mathrm{V}}_5}{{\mathrm{\rho }}_1{\mathrm{V}}_{01}+{\mathrm{\rho }}_2{\mathrm{V}}_{02}+{\mathrm{\rho }}_3{\mathrm{V}}_{03}+{\mathrm{\rho }}_4{\mathrm{V}}_{04}}=\frac{{\mathrm{\rho }}_1+{\mathrm{\rho }}_2+{\mathrm{\rho }}_3+{\mathrm{\rho }}_4}{\mathrm{\rho }}$$

  

  $$\mathrm{E}=\frac{\left({\mathrm{\rho }}_1+{\mathrm{\rho }}_2+{\mathrm{\rho }}_3+{\mathrm{\rho }}_4\right){\mathrm{V}}_5}{{\mathrm{\rho }}_1{\mathrm{V}}_{01}+{\mathrm{\rho }}_2{\mathrm{V}}_{02}+{\mathrm{\rho }}_3{\mathrm{V}}_{03}+{\mathrm{\rho }}_4{\mathrm{V}}_{04}}=\frac{{\mathrm{\rho }}_1+{\mathrm{\rho }}_2+{\mathrm{\rho }}_3+{\mathrm{\rho }}_4}{\mathrm{\rho }}$$

  
(3) The linear density of rotor spun yarn
• $$\mathrm{\rho }=\frac{{\mathrm{\rho }}_1{V}_{01}+{\mathrm{\rho }}_2{V}_{02}+{\mathrm{\rho }}_3{V}_{03}+{\mathrm{\rho }}_4{V}_{04}}{V_5}$$

  
(4) Blending ratio
• The blending ratios of components A, B, C, D in the rotor spinning yarn are K₁, K₂, K₃, and K₄ respectively: $${\mathrm{<figure-callout\; id="1"\; label="K"\; filenames="imgf0002.png,imgf0004.png"\; state="\{\{state\}\}">K</figure-callout>}}_1=\frac{{\mathrm{\rho }}_1{V}_{01}}{{\mathrm{\rho }}_1{V}_{01}+{\mathrm{\rho }}_2{V}_{02}+{\mathrm{\rho }}_3{V}_{03}+{\mathrm{\rho }}_4{V}_{04}}$$

  

  $${\mathrm{<figure-callout\; id="2"\; label="K"\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">K</figure-callout>}}_2=\frac{{\mathrm{\rho }}_2{V}_{02}}{{\mathrm{\rho }}_1{V}_{01}+{\mathrm{\rho }}_2{V}_{02}+{\mathrm{\rho }}_3{V}_{03}+{\mathrm{\rho }}_4{V}_{04}}$$

  

  $${\mathrm{<figure-callout\; id="3"\; label="K"\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">K</figure-callout>}}_3=\frac{{\mathrm{\rho }}_3{V}_{03}}{{\mathrm{\rho }}_1{V}_{01}+{\mathrm{\rho }}_2{V}_{02}+{\mathrm{\rho }}_3{V}_{03}+{\mathrm{\rho }}_4{V}_{04}}$$

  

  $${\mathrm{<figure-callout\; id="4"\; label="K"\; filenames="imgf0002.png,imgf0003.png"\; state="\{\{state\}\}">K</figure-callout>}}_4=\frac{{\mathrm{\rho }}_4{V}_{04}}{{\mathrm{\rho }}_1{V}_{01}+{\mathrm{\rho }}_2{V}_{02}+{\mathrm{\rho }}_3{V}_{03}+{\mathrm{\rho }}_4{V}_{04}}$$

  
(4) Dynamic linear density of rotor spun yarn
• Assuming that the speed V₅ of the guide roller is invariable, the variables of feeding speed V₀₁, V₀₂, V₀₃, and V₀₄ of the four slivers are respectively as follows: $${\mathrm{V}}_{01}\text{'}={\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{01}$$

  

  $${\mathrm{V}}_{02}\text{'}={\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}$$

  

  $${\mathrm{V}}_{03}\text{'}={\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{03}$$

  

  $${\mathrm{V}}_{04}\text{'}={\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}$$

  

  So that the new changed linear density of the rotor spun yarn is $$\begin{array}{l}\mathrm{\rho }\text{'}=\frac{{\mathrm{\rho }}_1\left(V_{01}+\mathrm{\Delta }{V}_{01}\right)+{\mathrm{\rho }}_2\left(V_{02}+\mathrm{\Delta }{V}_{02}\right)+{\mathrm{\rho }}_3\left(V_{03}+\mathrm{\Delta }{V}_{03}\right)+{\rho }_4\left(V_{04}+{\mathrm{\Delta }}_{04}\right)}{V_5}\\ =\frac{{\mathrm{\rho }}_1{V}_{01}+{\mathrm{\rho }}_2{V}_{02}+{\mathrm{\rho }}_3{V}_{03}+{\mathrm{\rho }}_4{V}_{04}}{V_5}+\frac{{\mathrm{<figure-callout\; id="1"\; label="\rho "\; filenames="imgf0002.png,imgf0004.png"\; state="\{\{state\}\}">\rho </figure-callout>}}_1\mathrm{\Delta }{V}_{01}+{\mathrm{<figure-callout\; id="2"\; label="\rho "\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">\rho </figure-callout>}}_2\mathrm{\Delta }{V}_{02}+{\mathrm{<figure-callout\; id="3"\; label="\rho "\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">\rho </figure-callout>}}_3\mathrm{\Delta }{V}_{03}+{\mathrm{<figure-callout\; id="4"\; label="\rho "\; filenames="imgf0002.png,imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}_4\mathrm{\Delta }{V}_{04}}{V_5}\end{array}$$

  

  $$\mathrm{\Delta \rho =}\frac{{\mathrm{<figure-callout\; id="1"\; label="\rho "\; filenames="imgf0002.png,imgf0004.png"\; state="\{\{state\}\}">\rho </figure-callout>}}_1\mathrm{\Delta }{V}_{01}+{\mathrm{<figure-callout\; id="2"\; label="\rho "\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">\rho </figure-callout>}}_2\mathrm{\Delta }{V}_{02}+{\mathrm{<figure-callout\; id="3"\; label="\rho "\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">\rho </figure-callout>}}_3\mathrm{\Delta }{V}_{03}+{\mathrm{<figure-callout\; id="4"\; label="\rho "\; filenames="imgf0002.png,imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}_4\mathrm{\Delta }{V}_{04}}{V_5}$$

  
(5) Dynamic blending ratio of the rotor spun yarn is:
• Assuming that: ρ₁ = ρ₂ = ρ₃ = ρ₄ = ρ₀ $${\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}={\mathrm{<figure-callout\; id="0"\; label="V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">V</figure-callout>}}_0$$

  

  Reference blending ratios are shown as below: $${\mathrm{<figure-callout\; id="1"\; label="K"\; filenames="imgf0002.png,imgf0004.png"\; state="\{\{state\}\}">K</figure-callout>}}_1=\frac{V_{01}}{V_0}$$

  

  $${\mathrm{<figure-callout\; id="2"\; label="K"\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">K</figure-callout>}}_2=\frac{V_{02}}{V_0}$$

  

  $${\mathrm{<figure-callout\; id="3"\; label="K"\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">K</figure-callout>}}_3=\frac{V_{03}}{V_0}$$

  

  $${\mathrm{<figure-callout\; id="4"\; label="K"\; filenames="imgf0002.png,imgf0003.png"\; state="\{\{state\}\}">K</figure-callout>}}_4=\frac{V_{04}}{{\mathrm{<figure-callout\; id="0"\; label="V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">V</figure-callout>}}_0}$$

  

  When V₀₁+V₀₂+V₀₃+V₀₄→V₀₁+ΔV₀₁+V₀₂+ΔV₀₂+V₀₃+ΔV₀₃+V₀₄+ΔV₀₄, the blending ratio become as below: $${\mathrm{K}}_1\text{'}=\frac{V_{01}+\mathrm{\Delta }{V}_{01}}{{\mathrm{<figure-callout\; id="0"\; label="V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">V</figure-callout>}}_0+\mathrm{\Delta }{V}_0}$$

  

  $${\mathrm{K}}_2\text{'}=\frac{V_{02}+\mathrm{\Delta }{V}_{02}}{{\mathrm{<figure-callout\; id="0"\; label="V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">V</figure-callout>}}_0+\mathrm{\Delta }{V}_0}$$

  

  $${\mathrm{K}}_3\text{'}=\frac{V_{03}+\mathrm{\Delta }{V}_{03}}{{\mathrm{<figure-callout\; id="0"\; label="V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">V</figure-callout>}}_0+\mathrm{\Delta }{V}_0}$$

  

  $${\mathrm{K}}_4\text{'}=\frac{V_{04}+\mathrm{\Delta }{V}_{04}}{{\mathrm{<figure-callout\; id="0"\; label="V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">V</figure-callout>}}_0+\mathrm{<figure-callout\; id="0"\; label="\Delta \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\Delta </figure-callout>}{V}_{}{}_0}$$

  

  Mixed configuration is gradient to realize different color scheme.
• By changing V₀₁, V₀₂, V₀₃, and V₀₄, the blending ratio (color mixing ratio) of different fibers (different colors) in the yarn can be changed under the condition that V₀ is kept invariable, so that k₁, k₂, k₃, and k₄ are changed between 0 - 100%. In various color mixing modes of four primary colors, the minimum increment of the color mixing ratio is 0.1, wherein one of the color schemes is as follows: Table 1 color scheme

  		color A color mixing ratio k1	color B color mixing ratio k2	color C color mixing ratio k3	color D color mixing ratio k4	Color code
  Monochromatic	color A	1	0	0	0	1
  	color B	0	1	0	0	2
  	color C	0	0	1	0	3
  	color D	0	0	0	1	4
  	AB	0.1	0.9	0	0	5
  		0.2	0.8	0	0	6
  		0.3	0.7	0	0	7
  		0.4	0.6	0	0	8
  		0.5	0.5	0	0	9
  		0.6	0.4	0	0	10
  		0.7	0.3	0	0	11
  		0.8	0.2	0	0	12
  		0.9	0.1	0	0	13
  	AC	0.1	0	0.9	0	14
  		0.2	0	0.8	0	15
  		0.3	0	0.7	0	16
  Double-color		0.4	0	0.6	0	17
  mixing		0.5	0	0.5		18
  		0.6	0	0.4	0	19
  		0.7	0	0.3	0	20
  		0.8	0	0.2	0	21
  		0.9	0	0.1	0	22
  	AD	0.1	0	0	0.9	23
  		0.2	0	0	0.8	24
  		0.3	0	0	0.7	25
  		0.4	0	0	0.6	26
  		0.5	0	0	0.5	27
  		0.6	0	0	0.4	28
  		0.7	0	0	0.3	29
  		0.8	0	0	0.2	30
  		0.9	0	0	0.1	31
  	BC	0	0.1	0.9	0	32
  		0	0.2	0.8	0	33
  		0	0.3	0.7	0	34
  		0	0.4	0.6	0	35
  		0	0.5	0.5	0	36
  		0	0.6	0.4	0	37
  		0	0.7	0.3	0	38
  		0	0.8	0.2	0	39
  		0	0.9	0.1	0	40
  	BD	0	0. 1	0	0.9	41
  		0	0.2	0	0.8	42
  		0	0.3	0	0.7	43
  		0	0.4	0	0.6	44
  		0	0.5	0	0.5	45
  		0	0.6	0	0.4	46
  		0	0.7	0	0.3	47
  		0	0.8	0	0.2	48
  		0	0.9	0	0.1	49
  	CD	0	0	0.1	0.9	50
  		0	0	0.2	0.8	51
  		0	0	0.3	0.7	52
  		0	0	0.4	0.6	53
  		0	0	0.5	0.5	54
  		0	0	0.6	0.4	55
  		0	0	0.7	0.3	56
  		0	0	0.8	0.2	57
  		0	0	0.9	0.1	58
  		0.1	0.1	0.8	0	59
  		0.1	0.2	0.7	0	60
  		0.1	0.3	0.6	0	61
  		0.1	0.4	0.5	0	62
  		0.1	0.5	0.4	0	63
  		0.1	0.6	0.3	0	64
  		0.1	0.7	0.2	0	65
  		0.1	0.8	0.1	0	66
  		0.2	0.1	0.7	0	67
  		0.2	0.2	0.6	0	68
  		0.2	0.3	0.5	0	69
  Tricolor mixing	ABC	0.2	0.4	0.4	0	70
  		0.2	0.5	0.3	0	71
  		0.2	0.6	0.2	0	72
  		0.2	0.7	0.1	0	73
  		0.3	0.1	0.6	0	74
  		0.3	0.2	0.5	0	75
  		0.3	0.3	0.4	0	76
  		0.3	0.4	0.3	0	77
  		0.3	0.5	0.2	0	78
  		0.3	0.6	0.1	0	79
  		0.4	0.1	0.5	0	80
  		0.4	0.2	0.4	0	81
  		0.4	0.3	0.3	0	82
  		0.4	0.4	0.2	0	83
  		0.4	0.5	0.1	0	84
  		0.5	0.1	0.4	0	85
  		0.5	0.2	0.3	0	86
  		0.5	0.3	0.2	0	87
  		0.5	0.4	0.1	0	88
  		0.6	0.1	0.3	0	89
  		0.6	0.2	0.2	0	90
  		0.6	0.3	0.1	0	91
  		0.7	0.1	0.2	0	92
  		0.7	0.2	0.1	0	93
  		0.8	0.1	0.1	0	94
  		0	0.1	0.1	0.8	95
  		0	0.1	0.2	0.7	96
  		0	0.1	0.3	0.6	97
  		0	0.1	0.4	0.5	98
  		0	0.1	0.5	0.4	99
  		0	0.1	0.6	0.3	100
  	BCD	0	0.1	0.7	0.2	101
  		0	0.1	0.8	0.1	102
  		0	0.2	0.1	0.7	103
  		0	0.2	0.2	0.6	104
  		0	0.2	0.3	0.5	105
  		0	0.2	0.4	0.4	106
  		0	0.2	0.5	0.3	107
  		0	0.2	0.6	0.2	108
  		0	0.2	0.7	0.1	109
  		0	0.3	0.1	0.6	110
  		0	0.3	0.2	0.5	111
  		0	0.3	0.3	0.4	112
  		0	0.3	0.4	0.3	113
  		0	0.3	0.5	0.2	114
  		0	0.3	0.6	0.1	115
  		0	0.4	0.1	0.5	116
  		0	0.4	0.2	0.4	117
  		0	0.4	0.3	0.3	118
  		0	0.4	0.4	0.2	119
  		0	0.4	0.5	0.1	120
  		0	0.5	0.1	0.4	121
  		0	0.5	0.2	0.3	122
  		0	0.5	0.3	0.2	123
  		0	0.5	0.4	0.1	124
  		0	0.6	0.1	0.3	125
  		0	0.6	0.2	0.2	126
  		0	0.6	0.3	0.1	127
  		0	0.7	0.1	0.2	128
  		0	0.7	0.2	0.1	129
  		0	0.8	0.1	0.1	130
  	CDA	0.8	0	0.1	0.1	131
  		0.7	0	0.1	0.2	132
  		0.6	0	0.1	0.3	133
  		0.5	0	0.1	0.4	134
  		0.4	0	0.1	0.5	135
  		0.3	0	0.1	0.6	136
  		0.2	0	0.1	0.7	137
  		0.1	0	0.1	0.8	138
  		0.7	0	0.2	0.1	139
  		0.6	0	0.2	0.2	140
  		0.5	0	0.2	0.3	141
  		0.4	0	0.2	0.4	142
  		0.3	0	0.2	0.5	143
  		0.2	0	0.2	0.6	144
  		0.1	0	0.2	0.7	145
  		0.6	0	0.3	0.1	146
  		0.5	0	0.3	0.2	157
  		0.4	0	0.3	0.3	148
  		0.3	0	0.3	0.4	149
  		0.2	0	0.3	0.5	150
  		0.1	0	0.3	0.6	151
  		0.5	0	0.4	0.1	152
  		0.4	0	0.4	0.2	153
  		0.3	0	0.4	0.3	154
  		0.2	0	0.4	0.4	155
  		0.1	0	0.4	0.5	156
  		0.4	0	0.5	0.1	157
  		0.3	0	0.5	0.2	158
  		0.2	0	0.5	0.3	159
  		0.1	0	0.5	0.4	160
  		0.3	0	0.6	0.1	161
  		0.2	0	0.6	0.2	162
  		0.1	0	0.6	0.3	163
  		0.2	0	0.7	0.1	164
  		0.1	0	0.7	0.2	165
  		0.1	0	0.8	0.1	166
  		0.1	0.1	0.1	0.7	167
  		0.1	0.1	0.2	0.6	168
  		0.1	0.1	0.3	0.5	169
  		0.1	0.1	0.4	0.4	170
  		0.1	0.1	0.5	0.3	171
  		0.1	0.1	0.6	0.2	172
  		0.1	0.1	0.7	0.1	173
  		0.1	0.1	0.7	0.1	174
  		0.1	0.2	0.6	0.1	175
  Four-color	ABCD	0.1	0.3	0.5	0.1	176
  mixing		0.1	0.4	0.4	0.1	177
  		0.1	0.5	0.3	0.1	178
  		0.1	0.6	0.2	0.1	179
  		0.1	0.7	0.1	0.1	180
  		0.1	0.7	0.1	0.1	181
  		0.1	0.6	0.1	0.2	182
  		0.1	0.5	0.1	0.3	183
  		0.1	0.4	0.1	0.4	184
  		0.1	0.3	0.1	0.5	185
  		0.1	0.2	0.1	0.6	186
  		0.1	0.1	0.1	0.7	187
  		0.2	0.1	0.1	0.6	188
  		0.2	0.1	0.2	0.5	189
  		0.2	0.1	0.3	0.4	190
  		0.2	0.1	0.4	0.3	191
  		0.2	0.1	0.5	0.2	192
  		0.2	0.1	0.6	0.1	193
  		0.2	0.1	0.6	0.1	194
  		0.2	0.2	0.5	0.1	195
  		0.2	0.3	0.4	0.1	196
  		0.2	0.4	0.3	0.1	197
  		0.2	0.5	0.2	0.1	198
  		0.2	0.6	0.1	0.1	199
  		0.2	0.6	0.1	0.1	200
  		0.2	0.5	0.1	0.2	201
  		0.2	0.4	0.1	0.3	202
  		0.2	0.3	0.1	0.4	203
  		0.2	0.2	0.1	0.5	204
  		0.2	0.1	0.1	0.6	205
  		0.3	0.1	0.1	0.5	206
  		0.3	0.1	0.2	0.4	207
  		0.3	0.1	0.3	0.3	208
  		0.3	0.1	0.4	0.2	209
  		0.3	0.1	0.5	0.1	210
  		0.3	0. 1	0.5	0.1	211
  		0.3	0.2	0.4	0.1	212
  		0.3	0.3	0.3	0.1	213
  		0.3	0.4	0.2	0.1	214
  		0.3	0.5	0.1	0.1	215
  		0.3	0.5	0.1	0.1	216
  		0.3	0.4	0.1	0.2	217
  		0.3	0.3	0.1	0.3	218
  		0.3	0.2	0.1	0.4	219
  		0.3	0.1	0.1	0.5	220
  		0.4	0.1	0.1	0.4	221
  		0.4	0.1	0.2	0.3	222
  		0.4	0.1	0.3	0.2	223
  		0.4	0.1	0.4	0.1	224
  		0.4	0.1	0.4	0.1	225
  		0.4	0.2	0.3	0.1	226
  		0.4	0.3	0.2	0.1	227
  		0.4	0.4	0.1	0.1	228
  		0.4	0.4	0.1	0.1	229
  		0.4	0.3	0.1	0.2	230
  		0.4	0.2	0.1	0.3	231
  		0.4	0.1	0.1	0.4	232
  		0.5	0.1	0.1	0.3	233
  		0.5	0.1	0.2	0.2	234
  		0.5	0.1	0.3	0.1	235
  		0.5	0.1	0.3	0.1	236
  		0.5	0.2	0.2	0.1	237
  		0.5	0.3	0.1	0.1	238
  		0.5	0.3	0.1	0.1	239
  		0.5	0.2	0.1	0.2	240
  		0.5	0.1	0.1	0.3	241
  		0.6	0.1	0.1	0.2	242
  		0.6	0.1	0.2	0.1	243
  		0.6	0.1	0.2	0.1	244
  		0.6	0.2	0.1	0.1	245
  		0.6	0.2	0.1	0.1	246
  		0.6	0.1	0.1	0.2	247
  		0.7	0.1	0.1	0.1	248

  Note: k1+k2+k3+k4= 100% can have numerous combinations. Based on the four primary colors (four kinds of color slivers) by coupling and drafting, color alternating, gradient color matching, twisting and mixture, numerous color schemes can be formed. In addition, it is possible to form a segment-color yarn having a variety of color distribution in the yarn.

(6) Random dynamic control method of the density and blending ratio of the rotor spun yarn
• The dynamic change rate of density of the rotor spun yarn is shown as below: $$\begin{array}{l}{\epsilon }_{\mathrm{\rho }}=\frac{\mathrm{\Delta \rho }}{\mathrm{\rho }}=\frac{\frac{{\mathrm{<figure-callout\; id="1"\; label="\rho "\; filenames="imgf0002.png,imgf0004.png"\; state="\{\{state\}\}">\rho </figure-callout>}}_1\mathrm{\Delta }{V}_{01}+{\mathrm{<figure-callout\; id="2"\; label="\rho "\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">\rho </figure-callout>}}_2\mathrm{\Delta }{V}_{02}+{\mathrm{<figure-callout\; id="3"\; label="\rho "\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">\rho </figure-callout>}}_3\mathrm{\Delta }{V}_{03}+{\mathrm{<figure-callout\; id="4"\; label="\rho "\; filenames="imgf0002.png,imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}_4\mathrm{\Delta }{V}_{04}}{V_5}}{\frac{{\mathrm{\rho }}_1{V}_{01}+{\rho }_2{V}_{02}+{\rho }_3{V}_{03}+{\rho }_4{V}_{04}}{V_5}}\\ =\frac{{\mathrm{<figure-callout\; id="1"\; label="\rho "\; filenames="imgf0002.png,imgf0004.png"\; state="\{\{state\}\}">\rho </figure-callout>}}_1\mathrm{\Delta }{V}_{01}+{\mathrm{<figure-callout\; id="2"\; label="\rho "\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">\rho </figure-callout>}}_2\mathrm{\Delta }{V}_{02}+{\mathrm{<figure-callout\; id="3"\; label="\rho "\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">\rho </figure-callout>}}_3\mathrm{\Delta }{V}_{03}+{\mathrm{<figure-callout\; id="4"\; label="\rho "\; filenames="imgf0002.png,imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}_4\mathrm{\Delta }{V}_{04}}{{\mathrm{\rho }}_1{V}_{01}+{\rho }_2{V}_{02}+{\rho }_3{V}_{03}+{\rho }_4{V}_{04}}\end{array}$$

  

  and: $${\mathrm{\rho }}_1={\mathrm{<figure-callout\; id="2"\; label="\rho "\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">\rho </figure-callout>}}_2={\mathrm{<figure-callout\; id="3"\; label="\rho "\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">\rho </figure-callout>}}_3={\mathrm{<figure-callout\; id="4"\; label="\rho "\; filenames="imgf0002.png,imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}_4={\mathrm{\rho }}_0$$

  

  $${\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}={\mathrm{<figure-callout\; id="0"\; label="V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">V</figure-callout>}}_0$$

  
• Then, $$\begin{array}{l}{\epsilon }_{\mathrm{\rho }}=\frac{\mathrm{\Delta }{V}_{01}+\mathrm{\Delta }{V}_{02}+\mathrm{\Delta }{V}_{03}+\mathrm{\Delta }{V}_{04}}{{\mathrm{<figure-callout\; id="0"\; label="V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">V</figure-callout>}}_0}\\ =\frac{\mathrm{\Delta }{V}_0}{{\mathrm{<figure-callout\; id="0"\; label="V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">V</figure-callout>}}_0}\end{array}$$

  
• From the absolute increment of the linear density and relative increment of the linear density, it can be found that, the linear density change of the yarn, which totally depends on the V₀₁+ΔV₀₁, V₀₂+ΔV₀₂, V₀₃+ΔV₀₃, V₀₄+ΔV₀₄, can have 9 different patterns. Therefore, there can be 9 kinds of yarn in different forms.
• ① A yarn with variable linear density, wherein one component of the yarn has variable linear density and three components of the yarn have invariable linear densities. $$\mathrm{\rho }\text{'}=\mathrm{\rho +\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left({\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)$$
  
  or $$\mathrm{\rho }\text{'}=\mathrm{\rho +\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left({\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)$$
  
  or $$\mathrm{\rho }\text{'}=\mathrm{\rho +\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left({\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)$$
  
  or $$\mathrm{\rho }\text{'}=\mathrm{\rho +\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left({\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{01}\right)$$
  
• ② A yarn with variable linear density, wherein two components having variable linear densities and two components having invariable linear densities. $$\mathrm{\rho }\text{'}=\mathrm{\rho +\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)\right]$$
  
  or $$\mathrm{\rho }\text{'}=\mathrm{\rho +\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)\right]$$
  
  or $$\mathrm{\rho }\text{'}=\mathrm{\rho +\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]$$
  
  or $$\mathrm{\rho }\text{'}=\mathrm{\rho +\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)\right]$$
  
  or $$\mathrm{\rho }\text{'}=\mathrm{\rho +\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]$$
  
  or $$\mathrm{\rho }\text{'}=\mathrm{\rho +\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]$$
  
• ③ A yarn with variable linear density, wherein three components having variable linear densities and one component having invariable linear density. $$\mathrm{\rho }\text{'}=\mathrm{\rho +\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)\right]$$
  
  or $$\mathrm{\rho }\text{'}=\mathrm{\rho +\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]$$
  
  or $$\mathrm{\rho }\text{'}=\mathrm{\rho +\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]$$
  
• ④ A yarn with variable linear density, wherein four components having variable linear densities. $$\mathrm{\rho }\text{'}=\mathrm{\rho +\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]$$
  
• ⑤ A yarn with variable linear density, wherein one component of the yarn is continuous and three components of the yarn are discontinuous. $$\mathrm{\rho }\text{'}=\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[\left({\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{01}\right)+\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\mathrm{}\left(0\le \mathrm{t}\le {\mathrm{<figure-callout\; id="1"\; label="T"\; filenames="imgf0002.png,imgf0004.png"\; state="\{\{state\}\}">T</figure-callout>}}_1\right)$$
  
  $$\begin{array}{cc}\mathrm{\rho }\text{'}=\mathrm{\rho }+\mathrm{\Delta \rho }=\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)\right]& \left({\mathrm{<figure-callout\; id="1"\; label="T"\; filenames="imgf0002.png,imgf0004.png"\; state="\{\{state\}\}">T</figure-callout>}}_1\le \mathrm{t}\le {\mathrm{<figure-callout\; id="2"\; label="T"\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">T</figure-callout>}}_2\right)\end{array}$$
  
  $$\mathrm{\rho }\text{'}=\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[\left({\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{01}\right)+\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\mathrm{}\left({\mathrm{<figure-callout\; id="2"\; label="T"\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">T</figure-callout>}}_2\le \mathrm{t}\le {\mathrm{<figure-callout\; id="3"\; label="T"\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">T</figure-callout>}}_3\right)$$
  
  $$\mathrm{\rho }\text{'}=\mathrm{\rho }+\mathrm{\Delta \rho }=\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[\left({\mathrm{V}}_{\mathrm{02}}+\mathrm{\Delta }{\mathrm{V}}_{\mathrm{02}}\right)\right]\mathrm{}\left({\mathrm{<figure-callout\; id="3"\; label="T"\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">T</figure-callout>}}_3\le t\le {\mathrm{<figure-callout\; id="4"\; label="T"\; filenames="imgf0002.png,imgf0003.png"\; state="\{\{state\}\}">T</figure-callout>}}_4\right)$$
  
• ⑥ A yarn with variable linear density, wherein two components of the yarn are continuous and two components of the yarn are discontinuous. $$\mathrm{\rho }\text{'}=\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[\left({\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{01}\right)+\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\mathrm{}\left(0\le \mathrm{t}\le {\mathrm{<figure-callout\; id="1"\; label="T"\; filenames="imgf0002.png,imgf0004.png"\; state="\{\{state\}\}">T</figure-callout>}}_1\right)$$
  
  $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\mathrm{}\left({\mathrm{<figure-callout\; id="1"\; label="T"\; filenames="imgf0002.png,imgf0004.png"\; state="\{\{state\}\}">T</figure-callout>}}_1\le \mathrm{t}\le {\mathrm{<figure-callout\; id="2"\; label="T"\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">T</figure-callout>}}_2\right)$$
  
  $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[\left({\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{01}\right)+\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\mathrm{}\left({\mathrm{<figure-callout\; id="2"\; label="T"\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">T</figure-callout>}}_2\le \mathrm{t}\le {\mathrm{<figure-callout\; id="3"\; label="T"\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">T</figure-callout>}}_3\right)$$
  
  $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\mathrm{}\left({\mathrm{<figure-callout\; id="3"\; label="T"\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">T</figure-callout>}}_3\le \mathrm{t}\le {\mathrm{<figure-callout\; id="4"\; label="T"\; filenames="imgf0002.png,imgf0003.png"\; state="\{\{state\}\}">T</figure-callout>}}_4\right)$$
  
• ⑦ A yarn with variable linear density, wherein three component of the yarn are continuous and one component of the yarn is discontinuous. $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[\left({\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{01}\right)+\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\mathrm{}\left(0\le \mathrm{t}\le {\mathrm{<figure-callout\; id="1"\; label="T"\; filenames="imgf0002.png,imgf0004.png"\; state="\{\{state\}\}">T</figure-callout>}}_1\right)$$
  
  $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\mathrm{}\left({\mathrm{<figure-callout\; id="1"\; label="T"\; filenames="imgf0002.png,imgf0004.png"\; state="\{\{state\}\}">T</figure-callout>}}_1\le \mathrm{t}\le {\mathrm{<figure-callout\; id="2"\; label="T"\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">T</figure-callout>}}_2\right)$$
  
  $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[\left({\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{01}\right)+\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\mathrm{}\left({\mathrm{<figure-callout\; id="2"\; label="T"\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">T</figure-callout>}}_2\le \mathrm{t}\le {\mathrm{<figure-callout\; id="3"\; label="T"\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">T</figure-callout>}}_3\right)$$
  
  $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\mathrm{}\left({\mathrm{<figure-callout\; id="3"\; label="T"\; filenames="imgf0003.png,imgf0004.png"\; state="\{\{state\}\}">T</figure-callout>}}_3\le \mathrm{t}\le {\mathrm{<figure-callout\; id="4"\; label="T"\; filenames="imgf0002.png,imgf0003.png"\; state="\{\{state\}\}">T</figure-callout>}}_4\right)$$
  
• ⑧ A yarn with variable linear density, wherein four components of the yarn are continuous and have variable linear densities. $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{<figure-callout\; id="0"\; label="\rho \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\rho </figure-callout>}}{{\mathrm{V}}_{}}\ast \left[\left({\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{01}\right)+\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]$$
  
• ⑨ The method of dynamic feed speed control of spun yarn Because $$\mathrm{<figure-callout\; id="0"\; label="\Delta \; V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">\Delta </figure-callout>}{\mathrm{V}}_{}{\mathrm{}}_0=\mathrm{\Delta }{\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{03}\mathrm{+\Delta }{\mathrm{V}}_{04}$$
  
  ΔV may come from ΔV₀₁, or come from ΔV₀₂, ΔV₀₃, and Δ_V04, which can be determined by the blending ratio. Then: $$\mathrm{\Delta }{\mathrm{V}}_{01}=\mathrm{K}{\prime }_1\left({\mathrm{<figure-callout\; id="0"\; label="V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">V</figure-callout>}}_0+\mathrm{\Delta V}\right)-{\mathrm{V}}_{01}$$
  
  $$\mathrm{\Delta }{\mathrm{V}}_{02}=\mathrm{K}{\prime }_2\left({\mathrm{<figure-callout\; id="0"\; label="V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">V</figure-callout>}}_0+\mathrm{\Delta V}\right)-{\mathrm{V}}_{02}$$
  
  $$\mathrm{\Delta }{\mathrm{V}}_{03}=\mathrm{K}{\prime }_3\left({\mathrm{<figure-callout\; id="0"\; label="V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">V</figure-callout>}}_0+\mathrm{\Delta V}\right)-{\mathrm{V}}_{03}$$
  
  $$\mathrm{\Delta }{\mathrm{V}}_{04}=\mathrm{K}{\prime }_4\left({\mathrm{<figure-callout\; id="0"\; label="V"\; filenames="imgf0003.png"\; state="\{\{state\}\}">V</figure-callout>}}_0+\mathrm{\Delta V}\right)-{\mathrm{V}}_{04}$$
  

Claims (12)

1. A rotor spinning method for four-sliver asynchronous inputting and three-level carding, characterized in that:

   1) feeding fiber by combined feeding rollers with four rotational freedom degrees into carding area where a three-level carding roller is used for carding;

   2) moving the combined feeding rollers 1, 2, 3, 4 at linear speeds V₀₁, V₀₂, V₀₃, V₀₄, respectively; moving a rotor at a linear speed V₄ and moving a guide roller at a linear speed V₅; setting linear densities of four slivers drafted by four rollers to be ρ₁, ρ₂, ρ₃, and ρ₄, respectively, and setting a rotor spun yarn density to be ρ, such that a draft ratio of a rotor spinning yarn is as below: $$\mathrm{E}=\frac{\left({\mathrm{\rho }}_1+{\mathrm{\rho }}_2+{\mathrm{\rho }}_3+{\mathrm{\rho }}_4\right){\mathrm{V}}_5}{{\mathrm{\rho }}_1{\mathrm{V}}_{01}+{\mathrm{\rho }}_2{\mathrm{V}}_{02}+{\mathrm{\rho }}_3{\mathrm{V}}_{03}+{\mathrm{\rho }}_4{\mathrm{V}}_{04}}=\frac{{\mathrm{\rho }}_1+{\mathrm{\rho }}_2+{\mathrm{\rho }}_3+{\mathrm{\rho }}_4}{\mathrm{\rho }}$$

   

   a linear density of the rotor spun yarn is formed, $$\mathrm{\rho }=\frac{{\mathrm{\rho }}_1{V}_{01}+{\mathrm{\rho }}_2{V}_{02}+{\mathrm{\rho }}_3{V}_{03}+{\mathrm{\rho }}_4{V}_{04}}{V_5}$$

   

   wherein speeds of three carding rollers are as follows: a speed of a first carding roller is 1500-3000 rpm, a speed of a second carding roller is 3000-6000 rpm, a speed of a third carding roller is 6000-12000 rpm;

   3) blending ratios of four slivers in the rotor spinning yarn are K1, K2, K3, and K4, respectively: $${\mathrm{K}}_1=\frac{{\mathrm{\rho }}_1{V}_{01}}{{\mathrm{\rho }}_1{V}_{01}+{\mathrm{\rho }}_2{V}_{02}+{\mathrm{\rho }}_3{V}_{03}+{\mathrm{\rho }}_4{V}_{04}}$$

   

   $${\mathrm{K}}_2=\frac{{\mathrm{\rho }}_2{V}_{02}}{{\mathrm{\rho }}_1{V}_{01}+{\mathrm{\rho }}_2{V}_{02}+{\mathrm{\rho }}_3{V}_{03}+{\mathrm{\rho }}_4{V}_{04}}$$

   

   $${\mathrm{K}}_3=\frac{{\mathrm{\rho }}_3{V}_{03}}{{\mathrm{\rho }}_1{V}_{01}+{\mathrm{\rho }}_2{V}_{02}+{\mathrm{\rho }}_3{V}_{03}+{\mathrm{\rho }}_4{V}_{04}}$$

   

   $${\mathrm{K}}_4=\frac{{\mathrm{\rho }}_4{V}_{04}}{{\mathrm{\rho }}_1{V}_{01}+{\mathrm{\rho }}_2{V}_{02}+{\mathrm{\rho }}_3{V}_{03}+{\mathrm{\rho }}_4{V}_{04}}$$

   

   4) assuming that the speed V₅ of the guide roller is invariable, the variables of feeding speeds V₀₁, V₀₂, V₀₃, V₀₄ of the feeding rollers of the four slivers are respectively as follows: V₀₁' = V₀₁ + ΔV₀₁, V₀₂' = V₀₂ + ΔV₀₂, V₀₃' = V₀₃ + ΔV₀₃, V₀₄' = V₀₄ + ΔV₀₄,_, then the dynamic linear density of the rotor spun yarn is obtained according to formula (2) $$\mathrm{\Delta \rho }=\frac{{\mathrm{\rho }}_1\mathrm{\Delta }{V}_{01}+{\mathrm{\rho }}_2\mathrm{\Delta }{V}_{02}+{\mathrm{\rho }}_3\mathrm{\Delta }{V}_{03}+{\mathrm{\rho }}_4\mathrm{\Delta }{V}_{04}}{V_5}$$

   

   5) assuming that ρ₁ = ρ₂ = ρ₃ = ρ₄ = ρ₀, V₀₁+V₀₂+V₀₃+V₀₄ = V₀, obtaining a reference blending ratio according to the formulas (3), (4), (5), (6) as $${\mathrm{K}}_1=\frac{V_{01}}{V_0},K_2=\frac{V_{02}}{V_0},K_3=\frac{V_{03}}{V_0},K_4=\frac{V_{04}}{V_0},$$

   

   wherein when V₀₁+V₀₂+V₀₃+V₀₄→V₀₁+ΔV₀₁+V₀₂+ΔV₀₂+V₀₃+ΔV₀₃+V₀₄+ΔV₀₄, the blending ratio becomes as below: $${\mathrm{K}}_1\prime =\frac{V_{01}+\mathrm{\Delta }{V}_{01}}{V_0+\mathrm{\Delta }{V}_0}$$

   

   $${\mathrm{K}}_2\prime =\frac{V_{02}+\mathrm{\Delta }{V}_{02}}{V_0+\mathrm{\Delta }{V}_0}$$

   

   $${\mathrm{K}}_3\prime =\frac{V_{03}+\mathrm{\Delta }{V}_{03}}{V_0+\mathrm{\Delta }{V}_0}$$

   

   $${\mathrm{K}}_4\prime =\frac{V_{04}+\mathrm{\Delta }{V}_{04}}{V_0+\mathrm{\Delta }{V}_0}$$

   

   realizing dynamically adjustable spinning of different color blending ratios or color mixing ratios in the yarn with different fibers or colors by controlling V₀₁, V₀₂, V₀₃, and V₀₄.
2. The method according to claim 1, characterized in that: assuming that ρ₁ = ρ₂ = ρ₃ = ρ₄ = ρ₀, V₀₁ + V₀₂ + V₀₃ + V₀₄ = V₀, obtaining a dynamic change rate of the rotor spun yarn density according to formulas (2) and (7): $${\epsilon }_{\mathrm{\rho }}=\frac{\mathrm{\Delta }{V}_{01}+\mathrm{\Delta }{V}_{02}+\mathrm{\Delta }{V}_{03}+\mathrm{\Delta }{V}_{04}}{V_0}=\frac{\mathrm{\Delta }{V}_0}{V_0}$$

   

   achieving a random dynamic regulation of the density and the blending ratio of the rotor spun yarn by controlling the speed of one of the four rollers.
3. The method according to claim 2, characterized in that: $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\ast \left({\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)$$

   

   or $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\ast \left({\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)$$

   

   or $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\ast \left({\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)$$

   

   or $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\ast \left({\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{01}\right),$$

   

   changing speed of one of the rollers to achieve a yarn with variable linear density, wherein one component has variable linear density and three components have invariable linear densities.
4. The method according to claim 2, characterized in that: $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)\right]$$

   

   or $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)\right]$$

   

   or $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]$$

   

   or $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)\right]$$

   

   or $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]$$

   

   or $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right],$$

   

   changing speed of one of the rollers to achieve a yarn with variable linear density, wherein two components have variable linear densities and two components have invariable linear densities.
5. The method according to claim 2, characterized in that: $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)\right]$$

   

   or $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]$$

   

   or $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right],$$

   

   changing speed of one of the rollers to achieve a yarn with variable linear density, wherein three components have variable linear densities and one component has invariable linear densities.
6. The method according to claim 2, characterized in that: $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\ast \left[{\mathrm{V}}_{01}+{\mathrm{V}}_{02}+{\mathrm{V}}_{03}+{\mathrm{V}}_{04}+\left(\mathrm{\Delta }{\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right],$$

   

   changing speed of one of the rollers to achieve a yarn with variable linear density, wherein four components have variable linear densities.
7. The method according to claim 2, characterized in that: $$\begin{array}{l}\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\\ \ast \left[\left({\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{01}\right)+\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\\ \left(0\le \mathrm{t}\le {\mathrm{T}}_1\right)\end{array}$$

   

   $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\ast \left[\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)\right]\mathrm{}\left({\mathrm{T}}_1\le \mathrm{t}\le {\mathrm{T}}_2\right)$$

   

   $$\begin{array}{l}\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\\ \ast \left[\left({\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{01}\right)+\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\\ \left({\mathrm{T}}_2\le \mathrm{t}\le {\mathrm{T}}_3\right)\end{array}$$

   

   $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\ast \left[\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)\right]\mathrm{}\left({\mathrm{T}}_3\le \mathrm{t}\le {\mathrm{T}}_4\right),$$

   

   wherein speed change of four rollers and speed change of one roller alternate to realize a yarn with variable linear density wherein one component is continuous and three components are discontinus, wherein t, T1, T2, T3, and T4 represent time.
8. The method according to claim 2, characterized in that: $$\begin{array}{l}\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\\ \ast \left[\left({\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{01}\right)+\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\\ \left(0\le \mathrm{t}\le {\mathrm{T}}_1\right)\end{array}$$

   

   $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\ast \left[\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\mathrm{}\left({\mathrm{T}}_1\le \mathrm{t}\le {\mathrm{T}}_2\right)$$

   

   $$\begin{array}{l}\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\\ \ast \left[\left({\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{01}\right)+\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\\ \left({\mathrm{T}}_2\le \mathrm{t}\le {\mathrm{T}}_3\right)\end{array}$$

   

   $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\ast \left[\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\mathrm{}\left({\mathrm{T}}_3\le \mathrm{t}\le {\mathrm{T}}_4\right)$$

   

   wherein speed change of four rollers and speed change of two rollers alternate to realize a yarn with variable linear density wherein two components are continuous and two components are discontinus, wherein t, T1, T2, T3, and T4 represent time.
9. The method according to claim 2, characterized in that: $$\begin{array}{l}\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\\ \ast \left[\left({\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{01}\right)+\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\\ \left(0\le \mathrm{t}\le {\mathrm{T}}_1\right)\end{array}$$

   

   $$\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\ast \left[\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\mathrm{}\left({\mathrm{T}}_1\le \mathrm{t}\le {\mathrm{T}}_2\right)$$

   

   $$\begin{array}{l}\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}\\ *\left[\left({\mathrm{V}}_{01}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\\ \left({\mathrm{T}}_2\le \mathrm{t}\le {\mathrm{T}}_3\right)\end{array}$$

   

   $$\begin{array}{l}\mathrm{\rho }\prime =\mathrm{\rho }+\mathrm{\Delta \rho =}\frac{\mathrm{\rho }}{{\mathrm{V}}_0}*\left[\left({\mathrm{V}}_{02}+\mathrm{\Delta }{\mathrm{V}}_{02}\right)+\left({\mathrm{V}}_{03}+\mathrm{\Delta }{\mathrm{V}}_{03}\right)+\left({\mathrm{V}}_{04}+\mathrm{\Delta }{\mathrm{V}}_{04}\right)\right]\\ \left({\mathrm{T}}_3\le \mathrm{t}\le {\mathrm{T}}_4\right)\end{array}$$

   

   wherein speed change of four rollers and speed change of three rollers alternate to realize a yarn with variable linear density wherein three components are continuous and one component is discontinus, wherein t, T1, T2, T3 and T4 represent time.
10. The method according to claim 2, characterized in that: in control method of dynamic feeding speed of the yarn, Δ_V0 = ΔV₀₁ + ΔV₀₂ + ΔV₀₃ + ΔV₀₄, change of the speed is derived from ΔV₀₁, ΔV₀₂, ΔV₀₃, or ΔV₀₄ and determined by the blending ratio, and then ΔV₀₁ = K'₁(V₀+ΔV)-V₀₁, ΔV₀₂ = K'₂(V₀+ΔV)-V₀₂, ΔV₀₃ = K'₃(V₀+ΔV)-V₀₃, ΔV₀₄ = K'₄(V₀+ΔV)-V₀₄.
11. A device for realizing the method according to any one of the preceding claims, characterized in that, the device comprises a spinning system and a computer control system, the spinning system comprises a feeding and carding mechanism, a collecting and twisting mechanism, and a winding mechanism, characterized in that, the feeding and carding mechanism comprises combined feeding rollers having four rotational freedom degrees, a three-level carding roller; wherein a speed ratio of four rollers of the combined feeding rollers with four rotational freedom degrees can be adjusted, the collecting and twisting mechanism includes a fiber transport channel, a rotor, and a guide device; the winding mechanism includes a guide and winding mechanism; the computer control system includes a PLC programmable controller, a servo driver, a servo motor; wherein the combined feeding rollers with four rotational freedom degrees and the three-level carding roller are driven by the servo motor.
12. The device according to claim 10, characterized in that the combined feeding rollers having four rotational freedom degrees comprises a shaft, a bearing, a hollow shaft, a first gear, a second gear, a third gear, a fourth gear, a washer, a first movable roller, a second movable roller, a third movable roller, and a fourth movable roller, wherein the first gear, the second gear, the third gear, and the fourth gear, the first movable roller, the second movable roller, the third movable roller, and the fourth movable roller rotate around the same axis, the first gear, the second gear, the third gear, and the fourth gear drive the first movable roller, the second movable roller, the third movable roller, and the fourth movable roller, respectively.

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