Journal of Textile Research ›› 2020, Vol. 41 ›› Issue (06): 61-68.doi: 10.13475/j.fzxb.20190702408

• Textile Engineering • Previous Articles     Next Articles

Elastic parameters calculation of liners of self-lubricating spherical plain bearings

WANG Jiugen1(), GUO Hao1, HONG Yufang1, CHEN Fanghua2   

  1. 1. Faculty of Mechanical Engineering, Zhejiang University, Hangzhou, Zhejiang 310027, China
    2. Zhejiang Testing & Inspection Institute for Mechanical and Electrical Products Quality,Hangzhou, Zhejiang 310051, China;
  • Received:2019-07-04 Revised:2019-12-04 Online:2020-06-15 Published:2020-06-28

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Abstract:

In order to accurately predict mechanical parameters of self-lubricating spherical plain bearings, the representative volume element mesoscopic geometric model had been modified considering compaction of liner preform. Elastic performance analysis model combined with bridging model had been established. The elastic properties of plain, twill and satin liners were calculated with the analytical method. Compared with experimental data carried by other researchers, the maximum relative errors between theoretical and experimental values are 4.76%, 5.47% and 4.39% respectively. For the bridging parameters used to calculate the elastic constants of different fiber bundles, if the ratio of the elastic modulus of the fibers and the matrix in the axial direction of the fiber bundle is large, using α smaller than β could obtain more accurate results. Values of α and β can be determined by simple tensile and shear tests of the fiber bundles if experimental conditions are adequate.

Key words: fabric liner, elastic parameter, mesoscopic model, bridging model, numerical calculation, self-lubricating spherical plain bearings

CLC Number: 

  • TB3322

Fig.1

Microcosmic structures of plain(a), twill (b) and satin (c) fabric liners"

Fig.2

Lenticular cross-sectional shape of yarn"

Fig.3

Structure of plain fabric liner before(a) and after(b) compaction preform"

Fig.4

Cross-sectional shape and size of yarn"

Fig.5

A-A cross section of RVE of plain fabric liner"

Fig.6

Flow chart of compliance matrices of liners"

Fig.7

Curve part of fiber yarn"

Tab.1

Elastic parameters of materials of plain and satin fabric linersGPa"

弹性常数 PTFE 芳纶 酚醛树脂
E11 0.75 6.70 2.88
E22 0.75 6.70 2.88
G12 0.28 2.69 1.01
G23 0.28 2.69 1.01
u12 0.30 0.23 0.42

Tab.2

Comparison between computational and experimental results of plain fabric liner"

弹性参数 计算值/GPa 实验值/GPa 相对误差/%
E11 1.97 1.98 0.51
E22 1.97 1.98 0.51
G12 0.66 0.63 4.76

Tab.3

Geometric parameters of yarn of twill fabric liner"

类型 宽度/mm 厚度/mm 间隙/mm 纱线填充系数 RVE厚度/mm
PTFE 2.120 0.250 0.029 3 0.700 0.405
芳纶 2.120 0.150

Tab.4

Elastic properties of materials of twill fabric linerGPa"

类型 E11 E22 G12 G23 u12
PTFE 3.20 3.20 1.23 1.23 0.35
芳纶 133.00 133.00 49.20 49.20 0.35
酚醛树脂 2.88 2.88 1.01 1.01 0.42

Tab.5

Comparison between computational and experimental results of twill fabric liner"

弹性参数 计算值/GPa 实验值/GPa 相对误差/%
E11 29.13 29.90 2.58
E22 8.98 9.50 5.47

Tab.6

Comparison between computational and experimental results of satin fabric liner"

弹性参数 计算值/GPa 实验值/GPa 相对误差/%
E11 3.09 2.96 4.39
E22 3.23 3.23 <0.01
G12 1.11 1.09 1.83
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