A New Elliptical Cross-Section Mathematical Model of Woven Fabric Based on Jacobian Transformation

作     者：杨育林 谷大鹏 齐效文 陈素文 

作者机构：Key Laboratory of Fundamental Science of Mechanical Structure and Material Science under Extreme Condition for National DefenceYanshan University College of Mechanical EngineeringYanshan University 

出 版 物：《Journal of Donghua University(English Edition)》 (东华大学学报（英文版）)

年 卷 期：2012年第29卷第5期

页      面：434-438页

核心收录：

学科分类：0821[工学-纺织科学与工程] 08[工学] 082101[工学-纺织工程] 

主　　题：woven fabric mathematical model elliptical cross-section 3D simulation Matlab 

摘      要：In order to give a true reflection of the spatial structure of woven fabric, a circular mathematical model is established based on the Peirce＇s model and the principle of the coordinate transformation. The circular model uses arcs and tangent lines as the yarn flexion shape and selects the circle as the yarn cross-section. Then, a new elliptical cross-section mathematical model is rapidly built by the Jaeobian transformation of the circular model. The Matiab software is used for the 3D simulation. It is shown that 3D simulations of woven fabrics with different weft and warp yarn counts, weft and warp densities, structure phases, weaves and flattening coefficients are successfully realized by Matiab basing on the elliptical mathematical model.