Journal of Textile Research ›› 2021, Vol. 42 ›› Issue (03): 21-26.doi: 10.13475/j.fzxb.20200905306

• Invited Column:Full-process Open Width Printing and Dyeing Technology for Knitted Fabric • Previous Articles     Next Articles

Finite element analysis of loop shape in weft knitted fabrics with small deformation based on homogenization theory

LÜ Changliang1, HAO Zhiyuan2, CHEN Huimin1, ZHANG Huile1, YUE Xiaoli1()   

  1. 1. College of Mechanical Engineering, Donghua University, Shanghai 201620, China
    2. Shanghai United Imaging Medical Technology Co., Ltd., Shanghai 201800, China
  • Received:2020-09-21 Revised:2020-12-22 Online:2021-03-15 Published:2021-03-17
  • Contact: YUE Xiaoli E-mail:xlyue@dhu.edu.cn

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Abstract:

In order to explore the problem of easy deformation of knitted fabrics in the process of open-width printing and dyeing, a cotton plain weft knitted fabric was taken as the research object. Based on asymptotic expansion of small parameters and homogenization of multi-scale perturbation analysis under small strain, a calculation model for macroscopic and microscopic change rate of displacement and strain of the knitted fabric was built. The model was used to analyze the loop shape change under small deformation, and the results show that when the knitted fabric is stretched by uniform load, the deformation of the loop is non-uniform, and the deformation is related to the position of the loop, width and the distance between guide rollers. The convex cloth guide roller can improve the difference of loop deformation. The calculated value of loop deformation of knitted fabric is found consistent with the measured value under the uniform and non-uniform load, and the maximum error is 9.6%. This means that the combination of homogenization theory and finite element technology can be used to further analyze the macro and micro deformation of multi-component and multi-specification knitted fabrics, and it can also provide theoretical guidance for tension control of open-width printing and dyeing equipment of knitted fabric, and for the layout design of cloth guide rollers and development of roll shape (concave convex roller) of variable diameters.

Key words: weft plain knitted fabric, homogenization theory, finite element analysis, loop shape, open-width printing and dyeing

CLC Number: 

  • TS181

Fig.1

Diagram of plain weft knitted fabric loop structure"

Fig.2

Diagram of unit cell model"

Tab.1

Yarn performance and fabric structure parameters"

E1/MPa E2(E3)/MPa G12(G13)/MPa G23/MPa v12(v13)
1 463 10 5.0 3.85 0.24
v23 摩擦因数 C/μm W/μm d/μm
0.3 0.486 568.67 407.89 149.66

Fig.3

Diagram of solving macro-micro deformation of knitted fabric"

Fig.4

Schematic diagram of calculated and measured location points"

Fig.5

Relationship between unit deformation value Δs and width"

Fig.6

Small tensile test platform"

Fig.7

Structure images at different measuring points"

Fig.8

Comparison of coil shape characteristic value between simulation and experiment"

Fig.9

Comparison between coil shape characteristic value from simulation and experiment under different roller crowns"

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