机织物组织图的数学描述与3维几何建模  

Mathematical expression and 3D geometrical modeling of weave diagram

作　　者：杨允出[1,2] 李基拓[2] 陆国栋[2] 

机构地区：[1]浙江理工大学浙江省服装工程技术研究中心,杭州310018 [2]浙江大学机械工程学系,杭州310027

出　　处：《中国图象图形学报》2014年第10期1524-1531,共8页Journal of Image and Graphics

基　　金：浙江省自然科学基金项目(LQ12E05015;Y110504;LY13F020003);浙江省服装工程技术研究中心开放基金项目(2012002);浙江理工大学校科研创新团队项目(13070055-Y);浙江省教育厅高等学校访问学者专业发展项目(FX2013033)

摘　　要：目的织物组织结构的3维几何模型是进行机织物的3维外观模拟和性能预测的基础。提出直接由组织结构参数建立机织物3维几何模型的方法。方法根据构成机织物组织交织规律的浮长序列、交叉数、飞数、经纬纱循环数等参数,建立单层织物的组织图矩阵生成的数学公式;结合组织图矩阵和织物中纱线的屈曲模型,采用直线和余弦曲线分段函数建立组织矩阵中组织点间纱线路径的数学公式,并基于椭圆截面模型实现机织物的3维模拟;通过对经、纬纱的X或Y坐标函数中引入修正因子,实现纱线路径的扭曲变形。结果实现不同组织类别、不同结构参数、不同纱线截面及基于均匀分布的纱线扭曲等条件下单层机织物的3维几何结构模拟,仿真效果较好。结论本文方法将组织图矩阵生成和织物结构3维建模两个过程结合,快速生成单层机织物的3维几何模型。通过实时更改结构参数,实现不同结构织物的模拟,而且可以模拟经、纬纱平面外扭曲现象。Objective In order to simulate three dimensional appearances and predict the performance of woven fabrics based on the weave structure,this paper presented a method to create the three dimensional geometrical models of yarn buckling in woven fabrics directly from weave structural parameters.Method In the method,two steps are combined,including weave diagram generation form structure parameters and three dimensional geometrical modeling from weave diagram.In first step,weave diagram is looked as a Boolean matrix.According to the weave category,the yarns interlacing rules in the weave diagram are described by a series of parameters,such as the float array,crossing number,step number and the numbers of ends or filling in weave repeat.Several functions are created to generate the matrixes of common single layer weaves according to these parameters.The weaves are separate into regular weave,quasi regular weaves and un-regular weave.In second step,the yarn paths are separated into two segment types （straight line and cosine curve） according to the warp or filling yarns buckling models.The yams cross section shape are looked as circle or ellipse.The three dimensional geometrical coordinates of warp and filling yarn buckling path are expressed by some piecewise functions according to weave matrix.The parameters in these functions include the long radius and short radius of ellipse,the straight distances of line segment in warp yarns or weft yarns,the straight distances of cosine curve segment in warp yarns or weft yarns,the amplitudes of warp and weft yarns buckling waves.Additionally,the modified functions also are created and two correcting factors are introduced to simulate three dimensional yarn buckling path by considering the distortion of warp and filling yarns in woven fabric.The values of the correcting factors can be generated by adopting a sine function or random function.Result Finally,the three dimensional modeling experiments of single layer woven fabrics were performed.In these experiments,the input in

关 键 词：机织物 组织图 矩阵 几何建模 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]