三维正交机织物结构的几何模型

以经、纬纱为直线, 捆绑纱为正弦和直线组合的曲线, 建立了三维正交机织物的几何结构模型。根据捆绑纱所限定纱线的截面积, 建立了以织物结构参数为未知量的非线性方程组, 使用数值计算方法求出了非线性方程组的近似解, 确定了捆绑纱曲线模型中的待定量。制织了纬纱捆绑和经纱捆绑两种玻璃纤维三维正交机织布, 并与不饱和聚酯树脂复合, 然后观察复合材料中捆绑纱的形态, 发现捆绑纱的测试曲线与模型曲线具有很好的一致性。进一步比较捆绑纱织缩率的测试值与计算值、纤维体积含量的测试值与计算值, 表明建立的织物结构几何模型, 能够较为真实地反映三维正交机织物的实际结构。 

GEOMETRIC MODEL OF THREE DIMENSIONAL ORTHOGONALWOVEN FABRIC STRUCTURES

Based on the straight warp and weft threads, combined sine and straight line of the binder yarn, a geometric model of 3D orthogonal fabric structure was established. According to the yarn cross-area confined by the binder, non-linear equations that include fabric structural parameters as unknown quantities were set up. The approximate values were calculated and the unknown quantity in the binder yarn model was determined by a numerical method. Two pieces of glass fiber three-dimensional orthogonal fabrics were woven and consolidated with (unsaturated) polyester. The shape of the binder yarn in the manufactured composites was tested. The observed shape of the binder yarn is in accordance with the model result. Furthermore, the binder yarn crimp factor, the fiber volume fraction of tested values and modeled ones are also compared. The results show that the established fabric geometric model can be used to represent the practical 3D orthogonal woven fabric structures.