A New Mathematical Expression of Yarn Limit Unevenness

作者：Kuang, Xueqin; Yan, Guangsong; Jiang, Zhan; Yang, Jianping; Yu, Chongwen^*

来源：Fibers and Polymers, 2013, 14(11): 1943-1946.

DOI：10.1007/s12221-013-1943-0

• Mathematical expression
• Yarn limit unevenness
• Fiber length distribution
• Fiber random arrangement
• Ideal sliver

With the development of spinning process, it was found that Martindale's theory on yarn limit unevenness in staple fiber yarns has no longer been valid in the case of high yarn count. Martindale's theory was based on the assumption that fibers had the identical length. Taking fiber length distribution into consideration, this paper has developed a new model on fiber random arrangement of ideal sliver. By applying mathematical probability method to analyze this model, a new mathematical expression of yarn limit unevenness has been obtained. Compared with the values from tested and calculated by Martindale's theory, the value of new yarn limit unevenness is reasonable to reintroduce the index of irregularity in the case of high yarn count.

• 出版日期2013-11
• 单位东华大学; 河南工程学院