基于六边形网格结构的针织物三维建模

doi:10.13475/j.fzxb.20181106706

摘要/Abstract

摘要：

为方便快捷地构造出接近针织物真实线圈的三维几何模型,提出一种基于六边形网格结构理论的方法。首先根据针织线圈穿套时形成的交织点,构建出六边形网格结构,由此确定每个线圈单元的8个特殊型值点,并根据纱线线密度和织物厚度通过三角函数关系求得型值点的具体坐标。其次将型值点插入非均匀有理B样条曲线,利用反算法推算出控制顶点及确认最终纱线路径,并进行扫面操作形成单个纱线线圈。最后通过阵列方法依次重复排列,得到特定组织循环的针织三维模型,并且对单元模型进行导热分析。结果表明,最终模拟计算结果与实际测量值的误差在4%以内,所建模型具有较好的实用性和合理性。

关键词: 针织物, 线圈, 六边形网格, 三维模型, 型值点, 模拟分析

Abstract:

In order to create a 3-D geometric model close to the real loop of knitted fabric more conveniently, a method based on hexagonal mesh structure theory was proposed. A hexagonal mesh structure was constructed according to the interleaving points formed when knitting loops were interlaced, and eight special value points were determined for each loop unit. Then the specific coordinates of the type value points were acquired according to the yarn fineness and fabric thickness by a trigonometric function relation, and the type value points were inserted into the non-uniform rational B-spline curve. The inverse algorithm was adopted to calculate the control point and the final yarn path was confirmed, and a single yarn loop was formed by section scanning. The fabric 3-D model of specific structure circulation was obtained by sequentially repeatedly arranging by an array method. The finite element heat conduction analysis of the element model was then carried out. The results show that the error between the simulation result and the actual measurement value is less than 4%, the model is practical and reasonable.

Key words: knitted fabric, loop, hexagonal mesh, 3-D model, data point, simulation analysis

中图分类号:

TS101.1

杨恩惠, 邱华, 代文杰. 基于六边形网格结构的针织物三维建模[J]. 纺织学报, 2019, 40(11): 69-74.

YANG Enhui, QIU Hua, DAI Wenjie. Three-dimensional modeling and analysis of knitted fabric based on hexagonal mesh structure[J]. Journal of Textile Research, 2019, 40(11): 69-74.

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型值点	X轴坐标值	Y轴坐标值	Z轴坐标值
P₁	0.000	0.000	0.000
P₂	0.112	0.216	0.269
P₃	-0.002	0.432	0.269
P₄	0.110	0.648	0.000