纺织学报 ›› 2024, Vol. 45 ›› Issue (11): 65-72.doi: 10.13475/j.fzxb.20230301101

• 纺织工程 • 上一篇    下一篇

基于分形与三维编织理论的棉纤维集合体梳理过程有限元建模与仿真

朱蕾1, 李勇2, 陈晓川1(), 汪军3   

  1. 1.东华大学 机械工程学院, 上海 201620
    2.塔里木大学 机械电气化工程学院, 新疆 阿拉尔 843300
    3.东华大学 纺织学院, 上海 201620
  • 收稿日期:2023-04-01 修回日期:2024-08-09 出版日期:2024-11-15 发布日期:2024-12-30
  • 通讯作者: 陈晓川(1970—),男,教授,博士。主要研究方向为棉花加工的建模仿真。E-mail:xcchen@dhu.edu.cn。
  • 作者简介:朱蕾(1997—),女,学士。主要研究方向为静力学与动力学建模与仿真。
  • 基金资助:
    新疆兵团财政科技计划资助项目(2023CB009-06)

Finite element modeling and simulation of cotton fiber assembly carding process based on 3-D braided and fractal theory

ZHU Lei1, LI Yong2, CHEN Xiaochuan1(), WANG Jun3   

  1. 1. College of Mechanical Engineering, Donghua University, Shanghai 201620, China
    2. College of Mechanical and Electronic Engineering, Tarim University, Alar, Xinjiang 843300, China
    3. College of Textiles, Donghua University, Shanghai 201620, China
  • Received:2023-04-01 Revised:2024-08-09 Published:2024-11-15 Online:2024-12-30

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摘要：

为提高棉花生条的质量,对梳理过程中棉纤维束的受力情况进行深入分析。基于分形理论建立棉纤维单元,参考三维四向编织结构的内部单胞模型,将分形棉纤维单元按照模型内部的纱线排列方式进行分布,建立棉纤维集合体的三维模型。利用该模型进行棉纤维集合体梳理过程的分析,借助ANSYS有限元软件进行模拟,研究了棉纤维所受梳理力及棉纤维应力的变化情况,梳理力仿真值与实验值的相对误差为11.414%,模型具有一定的合理性;通过MatLab软件运用插值方法,分析回潮率变化对梳理过程的影响,得出了不同回潮率下棉纤维表面摩擦因数值,根据仿真结果可知,随着回潮率升高,梳理力先增大后减小,当回潮率为6.5%时,梳理力更大,梳理效果最好。

关键词: 棉纤维集合体, 梳理过程, 有限元模型, 棉条质量, 梳理力, 回潮率

Abstract:

Objective Carding is the core step of cotton carding process. Its principle is to separate the fiber bundles in cotton roll into a single fiber by means of needle surface movement. In order to achieve the carding effect and prevent cotton fiber from being damaged due to excessive force at the same time, it is essential to control the carding force of cotton fiber within a reasonable range. To study the stress of cotton fiber assembly in carding process and improve the quality of cotton sliver, a new model of cotton fiber assembly was built.

Method The cotton fiber units were established based on the fractal theory, combined with the modeling idea of three-dimensional braided composite materials. The fractal cotton fiber units were arranged according to the fiber distribution in the internal single unicellular structure of three-dimensional four-way braided composite. The model was applied to simulate the carding process of cotton fiber assembly. The stress and strain variation of cotton fiber was studied by finite element method, the change of carding force over time was analyzed.

Results The carding process of cotton fiber under the fixed moisture regain was simulated by using finite element software. The cotton fiber was in the working area between cylinder and plate of the carding machine. In this process, cotton fiber was held by the needle teeth of cylinder and sorted by the needle of plate. The carding force of cotton fiber assembly, the stress and strain variation of cotton fiber over time were studied. Stress relaxation parameters shows that the stress and strain of cotton fiber first increases and then decreases as time goes on. It can be seen from assembly diagram that the stress of cotton fiber mostly occurs in the part directly in contact with the needle of plate and the part held by the needle teeth of cylinder. The effect of cotton fiber moisture regain on carding process was analyzed. The simulation parameters of cotton fiber under different moisture regain conditions were determined. The change of moisture regain will cause the change of friction coefficient of cotton fiber surface, and then affect the carding force. On the basis of the existing friction coefficient values of cotton fiber surface, the interpolation polynomial of friction coefficient and moisture regain was determined by method of undetermined coefficients. The friction coefficient values of cotton fiber under different moisture regain conditions were obtained. With the rise of moisture regain, static friction coefficient between cotton fiber and metal decreases, while dynamic friction coefficient increases. Both static friction coefficient and dynamic friction coefficient between cotton fibers increase. The stress of cotton fiber and the carding force on cotton fiber assembly increase first and then decrease with the rise of moisture regain.

Conclusion The simulation results of carding force are in agreement with the experimental results, indicating that the model of cotton fiber assembly is reasonable. As moisture regain increases, both the stress of cotton fiber and the carding force of cotton fiber assembly generally increases first and then decreases. According to the stress cotton fiber assembly under different moisture regain conditions, when the moisture regain is 6.5% and 8.5%, the stresses in both conditions are not very different and are relatively large. But the carding force is greater when the moisture regain is 6.5%, in this condition the carding effect is the best. The finite element method can better analyze the process of cotton carding, provide reference for the parameter setting of each part of the carding machine, and improve the carding efficiency and quality.

Key words: cotton fiber assembly, carding process, finite element model, sliver quality, carding force, moisture regain

中图分类号: 

  • TS11

表1

分形棉纤维单元的IFS变换"

i 俯视图 主视图
ωi ωi
1 x'=x+1.30 y'=y+0.75 x'=x+1.30 y'=2y+1.50
2 x'=x-1.30 y'=y+0.75 x'=x-1.30 y'=2y+1.50
3 x'=x y'=y-1.50 x'=x y'=2y

表2

分形棉纤维单元的IFS码"

i 俯视图 主视图
ai bi ci di ei fi ai bi ci di ei fi
1 1 0 0 1 1.30 0.75 1 0 0 2 1.30 0
2 1 0 0 1 -1.30 0.75 1 0 0 2 -1.30 0
3 1 0 0 1 0 -1.50 1 0 0 2 0 0

图1

分形棉纤维不同视图变换过程"

图2

分形棉纤维单元模型"

图3

三维四向编织复合材料的内部单胞结构"

图4

基于分形与三维编织理论的棉纤维集合体实体模型"

图5

不同时刻棉纤维集合体应力-应变云图"

表3

不同时刻棉纤维集合体应力与应变情况"

时间/s 棉纤维应力/MPa 棉纤维应变/%
8.55×10-5 0~60.471 0~3.794
6.84×10-4 0.184~2 176 0~96.091
8.55×10-4 0.305~1 199.800 0~53.589

表4

不同时刻梳理力变化情况"

时间/s 梳理力/N 时间/s 梳理力/N
1.18×10-38 0 4.70×10-4 0.272 36
4.28×10-5 0 5.13×10-4 0.290 47
8.55×10-5 0 5.56×10-4 0.267 17
1.28×10-4 0.140 72 5.99×10-4 0.215 45
1.71×10-4 0.291 39 6.41×10-4 0.297 43
2.14×10-4 0.120 31 6.84×10-4 0.270 38
2.57×10-4 0.157 69 7.27×10-4 0.344 44
2.99×10-4 0.150 29 7.70×10-4 0.166 59
3.42×10-4 0.199 98 8.12×10-4 0.696 19
3.85×10-4 0.178 00 8.55×10-4 0.661 46
4.28×10-4 0.225 62 — —

表5

不同回潮率下棉纤维应力松弛参数"

回潮率/
%		 E1/
(cN·
dtex-1)		 E2/
(cN·
dtex-1)		 η1/
(cN·s·
dtex-1)		 η2/
(cN·s·
dtex-1)
5.5 158.295 27.037 681.715 19 880.471
6.5 164.095 25.883 691.573 29 091.795
8.5 159.873 25.439 671.215 27 103.253
10 150.915 24.346 608.535 21 348.383

表6

不同回潮率条件下棉纤维的黏弹性参数"

回潮率/% 松弛时间/s G0/(cN·dtex-1) β/(s-1)
5.5 3.676 13.518 0.272 1
6.5 3.639 12.941 0.274 8
8.5 3.620 12.719 0.276 2
10 3.470 12.173 0.288 2

表7

回潮率对棉纤维摩擦因数的影响"

回潮率/
%		 纤维与金属之间 纤维与纤维之间
μs μd μs μd
3.98 0.282 3 0.245 3 0.307 3 0.263 5
7.23 0.297 5 0.262 5 0.315 3 0.276 4
8.97 0.284 2 0.275 3 0.314 2 0.282 1
12.57 0.294 2 0.286 3 0.303 1 0.284 2
16.39 0.325 4 0.336 4 0.354 2 0.325 3

表8

回潮率对棉纤维摩擦因数的影响"

回潮率/
%		 纤维与金属之间 纤维与纤维之间
μs μd μs μd
5.5 0.306 6 0.246 3 0.308 8 0.267 0
6.5 0.303 4 0.255 4 0.313 1 0.272 5
8.5 0.287 0 0.272 6 0.315 4 0.281 1
10.0 0.281 5 0.279 2 0.310 1 0.283 0

图6

不同回潮率下棉纤维集合体应力-应变云图"

图7

不同回潮率下棉纤维集合体应力变化情况"

图8

不同回潮率下梳理力随时间变化情况"

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