基于Matlab的机织物结构相三维仿真

Woven Fabrics Structural Phase 3D Simulation Based on Matlab

为真实、快速、形象地显示织物,基于Peirce及其衍生模型采用正余弦函数模拟了纱线屈曲状态;利用圆形和椭圆形分别描述纱线截面形态,避免了纱线弯曲处出现尖角或交叉;加入织物多类控制参数,实现了不同纱线直径、经纬密、结构相、纱线线密度的快速变换控制。基于坐标变换原理,建立了以空间曲面描述织物三维形态的模型;采用Matlab语言进行编程,基于所建数学模型进行三维结构形态模拟;加入颜色插值、添加光源等,更好地进行了仿真效果呈现。

In order to present the woven fabric vividly and quickly, the yarn buckling was simulated using sin-cos function based on the Peirce model and the derived models. The yarn cross-section shape was described using circle and oval so as to avoid sharp corners or cross at yarn bend. The rapid change control of different yarn diameter, density, structural phase and yarn linear density were a- chieved by adding fabric control parameters. The space surface describing fabric three-dimensional shape model was established based on the principle of coordinate transformation. The mathematical models were developed to simulate woven fabrics structural phases of the three-dimension （3D） by Matlab programming language. Addition color interpolation and adding lighting were used to make the fabric more realistic.