Establishment of fiber tow spreading model on mechanical rollers
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摘要: 制备预浸带需要将纤维束铺展变宽以便于树脂浸润,而牵引张力是纤维束展宽的动力来源,当前纤维束的展宽模型少有涉及牵引张力的影响效果。针对纤维束在机械棍子上的牵引展宽过程,结合受力分析得出纤维束运动系统的输入功及沿轴向、横向上的摩擦消耗功,依据能量守恒原理建立纤维束展宽模型。利用实验室自行搭建的机械棍子预分散装置,对展宽模型进行对比验证与分析。结果表明:牵引张力是纤维束展宽的重要原因,机械辊子个数、半径、光滑程度及纤维束与辊子间的包角都会影响纤维束的展宽,相较于Wilson展宽模型,能量平衡展宽模型能够更好地预测纤维的展开宽度,可用于指导纤维束的预分散过程。Abstract: The preparation of prepreg tape required spreading the fiber tow to facilitate resin impregnation. Traction tension is the driving force for fiber bundle spreading, but current fiber tow-spreading models rarely involve the effect of traction tension. Aiming at the spreading process of fiber tow on mechanical rollers, combining force analysis, the input work, and the friction work along the axial and lateral directions can be computed. Then the fiber tow spreading model can be established by energy conservation law. Utilizing the pre-dispersion device with mechanical rollers which was built by laboratory, contrastively validate and analyze the spreading model. The results indicate that traction tension is an important reason for fiber tow spreading. And the numbers, radius, smoothness of mechanical rollers, and the wrap angle between the fiber tow and the roller all affect the fiber tow spreading. Compared to the Wilson spreading model, the energy-balance spreading model can better predict the spreading width of fiber tow, and it can be used to guide the pre-dispersion process of fiber tow.
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Key words:
- fiber tow spreading /
- energy conservation /
- mechanical rollers /
- prepreg tape /
- pre-dispersion device
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图 1 纤维束展宽过程示意图
Figure 1. Schematic diagram of fiber tow spreading process
$ {T}_{0} $—Unwinding tension of fiber tow; $ {T}_{1} $—Traction tension of fiber tow; $ f_{\mathrm{\mathit{x}}} $—Axial friction force of fiber tow; $ \overline{F}_{\mathrm{f}\mathrm{\mathit{y}}} $—Transverse friction force of fiber tow
图 6 辊子顶部纤维束的受力分析
Figure 6. Stress analysis of fiber bundle at the top of dispersion roller
$ {\alpha }_{\mathrm{f}} $—Angle between the fiber tows on both sides of the roller; $ \phi $—Wrap angle of the fiber tow on the roller; $ {N}_{\mathrm{f}} $—Number of fiber monofilament; $ T_{\mathrm{\mathrm{g}}} $—Force exerted on each fiber monofilament at the vertex of the roller
表 1 SE4849玻璃纤维展宽比例系数测试结果
Table 1. Test results of spreading scale coefficient of glass fiber SE4849
$ {T}_{0} $/N $ {w}_{1} $/mm $ {k}_{1} $ 8 13.8 4.7177 9 12.6 4.6826 10 11.6 4.5526 11 10.6 4.4310 12 9.5 4.4042 13 8.7 4.1135 Note: $ {k}_{1} $—Scale coefficient of spreading width. 表 2 HF30 F碳纤维展宽比例系数测试结果
Table 2. Test results of spreading scale coefficient of carbon fiber HF30 F
$ {T}_{0} $/N $ {w}_{1} $/mm $ {k}_{2} $ 8 12.3 8.5298 9 11.5 8.4465 10 10.8 8.2479 11 9.6 9.1960 12 9.0 8.9906 13 8.5 8.4642 -
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