分形理论在羊毛纱线定形中的应用

Fractal theory use in setting of wool yarn

人们通常从分子微观角度解释羊毛纤维的化学定形原理,而忽略了纤维集合体之间的相互作用对定形效果产生的影响。为此,运用分形理论,从纤维与纤维间的相互作用这个宏观角度对羊毛纱线的定形原理进行研究,分别给出定形原理的分形维数解析和多重分形谱解析。结果表明:随着定形整理时间的延长,纱线分形维数先增大后减小,表明纱线结构趋于规则;多重分形谱谱宽减小,表明纱线结构逐渐变得均匀;谱函数之差始终大于零,表明占主导地位的是大单元,长纤维在纱线力学性能方面起主导作用。

People usually explain wool fiber chemical setting principle from the micro perspective of molecule,while neglecting the effect on shape-setting caused by interaction between fiber assemblies.This paper uses fractal theory,from the macro-perspective view of interaction between fiber and fiber to analyze the principle of wool setting,the fractal dimension analysis and the multi-fractal spectrum analysis of setting principle are given.The results show that with the setting time increases,yarn fractal dimension first increases,then decreases,showing yarn structure tends to rules.Multi-fractal spectrum width decreasing shows that the yarn structure gradually becomes even.The difference of spectrum function remains always greater than zero,indicating that the dominant is larger unit,the long fiber in yarn mechanical performance plays the dominant role.