Method for calculating diameter of roving containing hollow fibers

Abstract

The invention belongs to the technical field of spinning, and discloses a method for calculating the diameter of roving containing hollow fibers, which is suitable for calculating the diameter of the roving when the hollow fibers are purely spun or the hollow fibers and non-hollow fibers are blended. The roving is finally wound on a bobbin through a roller drafting and flyer twisting mechanism, the diameter d of the roving on the bobbin is influenced by the roving quantification W, the roving twist T and the proportion beta of the hollow fibers, the proportion beta of the hollow fibers is the proportion of the hollow fibers in fiber raw materials, and the calculation formula of the diameter of the roving containing the hollow fibers is # imgabs0 #; wherein d is the diameter of the roving containing the hollow fibers, # imgabs1 # is a regression equation related to the influence of roving quantification W, # imgabs2 # is a regression equation related to the influence of roving twist T, # imgabs3 # and # imgabs4 # are regression equations related to the influence of the hollow fiber proportion beta, and t in # imgabs5 # and # imgabs6 # is 5-9 twists / 10 cm. The hollow fiber characteristics and the influence of twisting are considered, and the method better fits the actual diameter of the hollow fiber blended roving.

Description

Technical Field

[0001] The invention belongs to the technical field of spinning and relates to a method for calculating the diameter of a roving containing hollow fibers. Background Art

[0002] The traditional roving winding model is derived based on the circular fiber cross section, taking into account the mutual extrusion between rovings to form an elliptical yarn layer, such as Figure 5 As shown, d is the short diameter of the ellipse, which is also the thickness of the yarn layer, that is, the roving diameter (cm), and h is the long diameter of the ellipse. As the number of yarn layers increases, the thickness of the yarn layer on the bobbin is also increasing. It is generally believed that the increase in yarn layer thickness is equal, that is, the yarn layer thickness of each layer of yarn is equal, and the yarn layer thickness of each layer of yarn is related to the roving diameter, so the basis of the traditional roving winding model is the derivation of the roving diameter. The derivation of the roving diameter law on the current roving machine is based on the longitudinal winding density Q (turns / 10cm) during roving winding, where the relationship between Q and d is:

[0003] ;

[0004] in is the roving density (g / cm 3 ), W is the roving weight (g / 10m), the change relationship is as follows Figure 6 shown.

[0005] It can be seen from the above formula that the traditionally derived roving diameter is closely related to the raw material correlation coefficient, but the influence of twisting during the roving winding process is not taken into account. For some raw materials such as cotton fibers with small hollowness and polyester fibers without hollowness, the internal structure of the slivers is closely arranged, and the force generated during the twisting process is not enough to squeeze the roving, so the twisting effect has little effect on the calculated roving diameter. For raw materials with relatively large hollowness, such as kapok fiber and ox-horn melon fiber, since the hollowness of the fiber is more than 80%, the slivers formed are also relatively fluffy, and their internal structure is also relatively loose, which is easily affected by force. In addition, there are problems such as poor forming and easy breakage during roving winding, so twisting is also required, and the force during the twisting process will also easily squeeze the roving, which further affects the calculation of its roving diameter.

[0006] For example, the literature (Establishment and Application of Mathematical Model of Roving Winding Speed ​​of Roving Machine [J]. Shanghai Textile Science and Technology, 2005, 33(3):3. DOI:10.3969 / j.issn.1001-2044.2005.03.004.) deduced the variation law of traditional roving diameter (i.e. the above formula Q), and analyzed the applicability of this formula to fibers such as pure cotton, polyester, and acrylic. However, it did not mention the analysis of hollow fibers such as kapok and kiwano. Therefore, the specific law of roving diameter of hollow fibers during the roving process still needs to be further explored.

[0007] Therefore, a method for calculating the diameter of a roving containing hollow fibers is needed to solve the above problems, which is of great significance. Summary of the invention

[0008] The object of the present invention is to solve the problems existing in the prior art and provide a method for calculating the diameter of a roving containing hollow fibers.

[0009] To achieve the above object, the technical solution adopted by the present invention is as follows:

[0010] A method for calculating the diameter of a roving containing hollow fibers is applicable to the calculation of the diameter of a roving when the hollow fibers are spun pure or when the hollow fibers are blended with non-hollow fibers. Hollow fiber slivers or blended slivers enter the roving frame through a feeding mechanism, and are finally wound on a bobbin after roller drafting and a spindle wing twisting mechanism. The diameter d of the roving on the bobbin is affected by the roving weight W, the roving twist T and the hollow fiber ratio β. The hollow fiber ratio β refers to the proportion of the hollow fibers in the fiber raw material, and the value range is 0~1. The calculation formula for the diameter of the roving containing hollow fibers is:

[0011] ;

[0012] Where, d is the diameter of the roving containing the hollow fibers, is the regression equation related to the influence of roving quantity W, is the regression equation related to the effect of roving twist T, and is the regression equation related to the effect of hollow fiber ratio β, and The t in is 5~9 twists / 10cm;

[0013] Regression equation for:

[0014] ;

[0015] in:

[0016] ;

[0017] ;

[0018] ;

[0019] Regression equation The coefficient selected is related to the value of t. For example, when t is fixed at 7 twists / 10cm, its variation law is as follows: Figure 1 shown.

[0020] Regression equation for:

[0021] ;

[0022] Regression equation for:

[0023] ;

[0024] is an influencing factor related to the roving weight W, is the influencing factor related to the roving twist T, and the regression equation and They are:

[0025] ;

[0026] .

[0027] The principle of calculating the diameter of the roving containing hollow fibers in the present invention is as follows: since the roving quantity is the main factor affecting the diameter of the roving containing hollow fibers, the influence of the subsequent roving twist is considered, and when the roving twist is selected as t twist / 10cm, only the roving quantity is changed to carry out a certain amount of roving winding experiments, and the roving diameter under different roving quantities is measured and calculated, and a relationship diagram between the roving quantity and the roving diameter is drawn, and a regression equation between the roving diameter and the roving quantity is established through function fitting. Then, through a series of experiments with only the roving twist changed and the same data calculation and processing, the regression equation of roving diameter and roving twist can be obtained. However, since the roving twist is a secondary influencing factor, when the roving quantity and roving twist change at the same time, the actual roving diameter is mainly affected by the roving quantity, so With the regression equation The twist of the roving is selected as t (twist / 10cm). The value in As a ratio, As the influence coefficient of twist, the regression equation is taken into account The influence of , which in turn affects the calculation of roving diameter; Since hollow fiber pure spinning is more difficult, the regression equation and The results are obtained under a certain blending ratio of hollow fibers and non-hollow fibers applicable to this method, so the influencing factors of the blending ratio coefficient of the two are taken as and The average value is taken as another blending ratio coefficient and taken into account in the calculation of the roving diameter. In summary, a calculation formula for the roving diameter containing hollow fibers can be obtained, which is mainly based on the quantitative influencing factors of the roving and has both the roving twist and the blending ratio coefficient.

[0028] As the preferred technical solution:

[0029] A method for calculating the diameter of a roving containing hollow fibers as described above, wherein the hollow fibers are kapok fibers or kiwano fibers, and the hollowness of the hollow fibers is 80-90%.

[0030] A method for calculating the diameter of a roving containing hollow fibers as described above, wherein the non-hollow fibers are cotton fibers, silk fibers or chemical fibers.

[0031] According to the method for calculating the diameter of the roving containing hollow fibers as described above, the roving weight W is 2 to 18 g / 10 m.

[0032] In the above method for calculating the diameter of a roving containing hollow fibers, the roving twist T is 3 to 10 twists / 10 cm.

[0033] Beneficial effects:

[0034] Compared with the prior art, the present invention takes the twisting effect into consideration during the winding process of the roving and takes the twisting factor into consideration in the calculation of the roving diameter, thereby realizing the calculation of the roving diameter of the roving containing hollow fibers. The roving diameter calculated by this method can reach 95% to 103% of the actual roving diameter of the hollow fibers. The calculation result is closer to the diameter of pure or blended roving of hollow fibers than the traditional calculation method. BRIEF DESCRIPTION OF THE DRAWINGS

[0035] Figure 1 The regression equation related to the roving quantity and the roving diameter in the present invention is The changing relationship curve diagram;

[0036] Figure 2 is the regression equation related to the roving twist and roving diameter in the present invention The changing relationship curve diagram;

[0037] Figure 3 is the influencing factor of the blending ratio in the roving quantity in the present invention The change curve diagram of

[0038] Figure 4 is the influencing factor of the blending ratio in the roving twist in the present invention The change curve diagram of

[0039] Figure 5 is a cross-sectional view of an elliptical yarn layer; in the figure, d is the roving diameter (in cm), and h is the major diameter of the ellipse (in cm);

[0040] Figure 6 Fixed roving density for traditional calculation of roving diameter 0.3g / cm 3 The curve diagram of the relationship between the roving diameter and the roving quantity when . DETAILED DESCRIPTION

[0041] The present invention will be further described below in conjunction with specific embodiments. It should be understood that these embodiments are only used to illustrate the present invention and are not intended to limit the scope of the present invention. In addition, it should be understood that after reading the content taught by the present invention, those skilled in the art can make various changes or modifications to the present invention, and these equivalent forms fall within the scope limited by the appended claims of the application equally.

[0042] In order to ensure that the properties of the materials used in each embodiment and comparative example are fully disclosed, the manufacturers and brands of the materials are indicated, and products of other manufacturers and brands that meet the requirements of the present invention are also feasible.

[0043] A method for calculating the diameter of a roving containing hollow fibers is applicable to the calculation of the diameter of the roving when the hollow fibers are spun alone or when the hollow fibers are blended with non-hollow fibers. The specific process is as follows:

[0044] First, the hollow fiber raw material or the raw material obtained by mixing the hollow fiber and the non-hollow fiber is formed into uniform hollow fiber slivers or blended slivers through the carding and drawing process, and then enters the roving frame through the feeding mechanism, and is finally wound on the bobbin after roller drafting and spindle wing twisting mechanism;

[0045] The diameter d of the roving on the bobbin is affected by the roving weight W, the roving twist T and the hollow fiber ratio β. The hollow fiber ratio β refers to the proportion of hollow fibers in the fiber raw material, and the value range is 0~1. The calculation formula for the diameter of the roving containing hollow fibers is:

[0046] ;

[0047] Where, d is the diameter of the roving containing the hollow fibers, is the regression equation related to the influence of roving quantity W (the relationship changes as follows Figure 1 ), is the regression equation related to the effect of roving twist T (the relationship changes as follows Figure 2 ), and is the regression equation related to the effect of hollow fiber ratio β (the relationship changes as Figure 3 , Figure 4 ), and The t in is 5~9 twists / 10cm;

[0048] The roving weight W is 2~18g / 10m, and the regression equation The calculation formula is:

[0049] ;

[0050] in:

[0051] ;

[0052] ;

[0053] ;

[0054] When t is fixed at 7 twists / 10cm, the variation law of roving diameter d with roving quantity W is as follows: Figure 1 As shown;

[0055] The roving twist T is 3~10 twists / 10cm, and the roving diameter d changes with the roving twist T as shown in the following Figure 2 As shown, the regression equation The calculation formula is:

[0056] ;

[0057] Regression equation The calculation formula is:

[0058] ;

[0059] and The changes of the hollow fiber ratio β are as follows Figure 3 , Figure 4 As shown, the regression equation and The calculation formulas are:

[0060] ;

[0061] .

[0062] The traditional method for calculating the diameter d of the roving on the bobbin is to calculate the longitudinal winding density Q (turns / 10cm) when the roving is wound according to the following formula, and then obtain the roving diameter d;

[0063] ;

[0064] Under the traditional method of calculating the roving diameter, when the roving density is fixed 0.3g / cm 3 When the roving diameter d and the roving quantity W change law is as follows Figure 5 shown.

[0065] Example 1

[0066] A method for calculating the diameter of a roving containing hollow fibers, the specific process is as follows:

[0067] (1) kapok fibers with an average hollowness of 83% and non-hollow cotton fibers are combed and drawn to form uniform blended slivers; wherein the proportion of kapok fibers to the fiber raw materials is 0.3;

[0068] (2) The blended slivers are fed into the roving frame through the feeding mechanism, and are finally wound on the bobbin after being drawn by rollers and twisted by the spindle wing. The roving weight W is 7g / 10m, the roving twist T is 7 twists / 10cm, and the roving density is 0.3g / cm 3 ;

[0069] =0.0441;

[0070] t is 7 twists / 10cm, =0.0441;

[0071] =0.0430;

[0072] =0.9732, =0.9757.

[0073] First, the actual roving diameter after unwinding is measured with a vernier caliper and calculated by data fitting, which is 0.0412 cm. Then, the value of the roving diameter d on the bobbin is calculated using the above calculation formula of the present invention and the traditional calculation formula of the prior art, respectively. The results are as follows:

[0074] The value of the roving diameter d on the bobbin calculated by the calculation formula of the present invention is 0.0419 cm;

[0075] The value of the roving diameter d on the bobbin above is calculated using the traditional method formula to be 0.0386 cm;

[0076] By comparing the values ​​of the roving diameter d calculated by the above two methods and the values ​​actually measured, it can be seen that, compared with the traditional calculation method, the roving diameter d obtained by the calculation formula used in the present invention is closer to the actual roving diameter, and fully considers the hollow fiber characteristics and the influence of twisting, and is more in line with the diameter change law of hollow fiber blended roving.

[0077] Example 2

[0078] A method for calculating the diameter of a roving containing hollow fibers, the specific process is as follows:

[0079] (1) Carding and drawing of kiwi fiber with an average hollowness of 85% and non-hollow cotton fiber to form a uniform blended sliver, wherein the proportion of kiwi fiber to the fiber raw material is 0.6;

[0080] (2) The blended slivers are fed into the roving frame through the feeding mechanism, and are finally wound on the bobbin after being drawn by rollers and twisted by the spindle wing. The roving weight W is 5g / 10m, the roving twist T is 7 twists / 10cm, and the roving density is 0.3g / cm 3 ;

[0081] =0.0441;

[0082] t is 6 twists / 10cm, =0.0472;

[0083] =0.0418;

[0084] =1.1325, =1.1155.

[0085] First, the actual roving diameter after unwinding is measured with a vernier caliper and calculated by data fitting, which is 0.0445 cm. Then, the value of the roving diameter d on the bobbin is calculated using the above calculation formula of the present invention and the traditional calculation formula of the prior art, respectively. The results are as follows:

[0086] The value of the roving diameter d on the bobbin calculated by the calculation formula of the present invention is 0.0439 cm;

[0087] The value of the roving diameter d on the bobbin above is calculated using the traditional method formula to be 0.0326 cm;

[0088] By comparing the values ​​of the roving diameter d calculated by the above two methods and the values ​​actually measured, it can be seen that, compared with the traditional calculation method, the roving diameter d obtained by the calculation formula used in the present invention is closer to the actual roving diameter, and fully considers the hollow fiber characteristics and the influence of twisting, and is more in line with the diameter change law of hollow fiber blended roving.

[0089] Example 3

[0090] A method for calculating the diameter of a roving containing hollow fibers, the specific process is as follows:

[0091] (1) kapok fibers with an average hollowness of 83% and non-hollow polyester fibers are combed and drawn to form uniform blended slivers; wherein the proportion of kapok fibers to the fiber raw materials is 0.4;

[0092] (2) The blended slivers are fed into the roving frame through the feeding mechanism, and are finally wound on the bobbin after being drawn by rollers and twisted by the spindle wing. The roving weight W is 8g / 10m, the roving twist T is 7 twists / 10cm, and the roving density is 0.3g / cm 3 ;

[0093] =0.0441;

[0094] t is 8 twists / 10cm, =0.0418;

[0095] =0.0432;

[0096] =1.0263, =1.0223.

[0097] First, the actual roving diameter after unwinding is measured with a vernier caliper and calculated by data fitting, which is 0.0459 cm. Then, the value of the roving diameter d on the bobbin is calculated using the above calculation formula of the present invention and the traditional calculation formula of the prior art, respectively. The results are as follows:

[0098] The value of the roving diameter d on the bobbin calculated by the calculation formula of the present invention is 0.0467 cm;

[0099] The traditional calculation formula is used to calculate the value of the roving diameter d on the above bobbin to be 0.0412 cm;

[0100] By comparing the values ​​of the roving diameter d calculated by the above two methods and the values ​​actually measured, it can be seen that, compared with the traditional calculation method, the roving diameter d obtained by the calculation formula used in the present invention is closer to the actual roving diameter, and fully considers the hollow fiber characteristics and the influence of twisting, and is more in line with the diameter change law of hollow fiber blended roving.

[0101] Example 4

[0102] A method for calculating the diameter of a roving containing hollow fibers, the specific process is as follows:

[0103] (1) The kapok fibers with an average hollowness of 83% are formed into uniform slivers through the carding and drawing processes;

[0104] (2) The kapok slivers are fed into the roving frame through the feeding mechanism, and are finally wound on the bobbin after being drawn by rollers and twisted by the winglets; the roving weight W is 6g / 10m, the roving twist T is 7 twists / 10cm, and the roving density is 0.3g / cm 3 ;

[0105] =0.0441;

[0106] t is 7 twists / 10cm, =0.0441;

[0107] =0.0408;

[0108] =1.3449, =1.3019.

[0109] First, the actual roving diameter after unwinding is measured with a vernier caliper and calculated by data fitting, which is 0.0552 cm. Then, the value of the roving diameter d on the bobbin is calculated using the above calculation formula of the present invention and the traditional calculation formula of the prior art, respectively. The results are as follows:

[0110] The value of the roving diameter d on the bobbin calculated by the calculation formula of the present invention is 0.0540 cm;

[0111] The traditional calculation formula was used to calculate the value of the roving diameter d on the above bobbin to be 0.0356 cm;

[0112] By comparing the values ​​of the roving diameter d calculated by the above two methods and the values ​​actually measured, it can be seen that, compared with the traditional calculation method, the roving diameter d obtained by the calculation formula used in the present invention is closer to the actual roving diameter, and fully considers the characteristics of the hollow fiber and the influence of twisting, and is more in line with the diameter change law of the roving containing hollow fibers.

Claims

1. A method for calculating the diameter of roving containing hollow fibers, which is suitable for calculating the diameter of roving when hollow fibers are spun alone or when hollow fibers are blended with non-hollow fibers. Hollow fiber slivers or blended slivers enter the roving frame through a feeding mechanism, and are finally wound on a bobbin after being drawn by rollers and twisted by a winglet. The method is characterized in that: The diameter d of the roving on the bobbin is affected by the roving weight W, the roving twist T and the hollow fiber ratio β. The hollow fiber ratio β refers to the proportion of hollow fibers in the fiber raw material, and the value range is 0~1. The calculation formula of the roving diameter is: ； Where, d is the diameter of the roving containing the hollow fibers, is the regression equation related to the influence of roving quantity W, is the regression equation related to the effect of roving twist T, and is the regression equation related to the effect of hollow fiber ratio β, and The t in is 5~9 twists / 10cm; Regression equation for: ； in: ； ； ； Regression equation for: ； Regression equation for: ； is an influencing factor related to the roving weight W, is the influencing factor related to the roving twist T, and the regression equation and They are: ； 。 2. A method for calculating the diameter of a roving containing hollow fibers according to claim 1, characterized in that: The hollow fiber is kapok fiber or caltrop fiber, and the hollowness of the hollow fiber is 80~90%.

3. A method for calculating the diameter of a roving containing hollow fibers according to claim 2, characterized in that: The non-hollow fibers are cotton fibers, silk or chemical fibers.

4. A method for calculating the diameter of a roving containing hollow fibers according to claim 1, characterized in that: The roving weight W is 2~18g / 10m.

5. A method for calculating the diameter of a roving containing hollow fibers according to claim 1, characterized in that: The twist T of the roving is 3~10 twists / 10cm.

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