Abstract

This article concentrates on a geometric-based simulation method for warp-knitted tubular fabrics. The warp-knitted tubular fabric is unfolded as a two-dimensional flat fabric after analyzing the structural characteristics of this kind of fabric knitted on the double needle bar warp knitting machine. Based on the principle of spatial transformation, a coordinate transformation algorithm using matrix operations is proposed, which allows a two-dimensional flat fabric to convert into a three-dimensional shaped tubular fabric. Spatial positions for data points of every single stitch are confirmed by coordinate mapping to fit the curved surface. Stitches undergo the deformation with the principle of the mass-spring model so as to make the mesh structure appear. Integrated with spatial transformation matrix operations, the validity of the proposed method is experimentally confirmed by simulating the warp-knitted tubular fabrics with the tube diameter changing of different segments, which realize the three-dimensional simulation for vivid shaped warp-knitted tubular products.

摘要

本文重点介绍一种基于几何的经编筒状织物模拟方法。分析了在双针杆经编机上编织的此类织物的结构特点，将经编筒状织物展开为二维平面织物。基于空间变换原理，提出了一种利用矩阵运算的坐标变换算法，将二维平面织物转换为三维异形管状织物。通过坐标映射确认每个针迹的数据点的空间位置以适应曲面。线迹利用质量-弹簧模型的原理进行变形，从而使网格结构出现。与空间变换矩阵运算集成，