纬编针织物线圈建模与变形三维模拟  

Three-dimensional modeling and deformation for weft knitted fabric loops

作　　者：沙莎[1] 蒋高明[1] 张爱军[1] 丛洪莲[1] 

机构地区：[1]江南大学教育部针织技术工程研究中心,江苏无锡214122

出　　处：《纺织学报》2017年第2期177-183,共7页Journal of Textile Research

基　　金：国家科技支撑项目(2012BAF13B03);国家自然科学基金项目(11302085);江苏省普通高校学术学位研究生创新计划项目(KYLX15_1161);中央高校基本科研业务费专项资金项目(JUSRP51404A)

摘　　要：为使纬编针织物具有更真实的力学效果和体积感,在改进的弹簧-质点模型基础上对线圈进行结构建模。同时采用插值算法,在相邻型值点间插入2个新的型值点,用非均匀有理B样条曲线(NURBS)连接线圈型值点,解决了NURBS不能穿过所有型值点的问题。为模拟股线的捻度,以此样条曲线为几何中心,用4根圆柱围绕,通过对相邻型值点的空间坐标计算3个相对欧拉角,对圆柱进行相应的旋转变换。测量了真实线圈的形变量,分析出线圈形变量与质点位移量的关系来模拟线圈变形。用Velocity-Verlet数值积分方法求解力学方程,计算各质点位移。借助于Microsoft Visual Studio 2010集成开发工具和Open GL三维绘图函数库,在计算机上实现了纬编织物的三维建模和变形仿真。In order to obtain mechanical behaviors and volumetric characteristics of weft knitted fabric, a loop model was built on the improved mass-spring model. The problem that the non-uniform rational B spline curve （NURBS） can not pass through all bonding points was solved by using the interpolation algorithm which can form new bonding points and the points are linked by NURBS. In order to simulate the twist of folded yarn, the NURBS is regarded as the geometric center with four cylinders around. Three relative Euler angles were calculated by the spatial coordinates of adjacent points. The relationship between the variables of the loop and the displacement of the mass was analyzed by measuring the variables of the loop. The displacement of the mass and mechanics equations were calculated by Velocity-Verier numerical integration methods. Based on the Microsoft Visual Studio 2010 integrated development tools and OpenGL 3-D graphics library, 3-D simulation of weft knitted fabrics can be realized visually on the computer screen.

关 键 词：纬编织物 非均匀有理B样条曲线 弹簧-质点模型 旋转矩阵 线圈变形 

分 类 号：TS184[轻工技术与工程—纺织材料与纺织品设计]