理想纱条的纤维排列与随机过程分析  

The alignment of fibers in ideal sliver and its analysis by stochastic process

作　　者：严广松[1] 苏玉恒[2] 

机构地区：[1]河南工程学院理学院,河南郑州451191 [2]河南工程学院纺织学院,河南郑州450007

出　　处：《河南工程学院学报（自然科学版）》2014年第1期1-5,共5页Journal of Henan University of Engineering：Natural Science Edition

基　　金：国家自然科学基金项目(51173023);河南省高校科技创新团队支持计划项目(13IRTSTHN024)

摘　　要：在Rao给出的理想纱条定义的基础上,进一步提出了理想纱条纤维排列的新定义.新定义考虑了纤维的长度分布,从纤维头端排列的概率分布角度指出了理想纱条的形态,新的理想纱条定义完全满足Rao理想纱条的4个条件.使用随机过程对这个新定义的理想纱条进行了分析,证明了这个随机过程是一个弱平稳过程,进一步求出了这个平稳过程的期望、方差和相关函数表达式,为理解理想纱条的意义和拟合非理想纱条建立了理论基础,也给出了理想纱条仿真的数学方法和途径.Based on the definition of ideal slivers given by Rao, a new definition of ideal slivers concerning the fiber alignment in slivers is proposed. The new definition takes account of the length distribution of the constituent fibers and gives the probability distribution of fiber tips along the length direction of the ideal sliver. The new definition of ideal slivers is proved to be consistent to the four conditions of the former definition given by Rao. A stochastic process analysis is carried out and the result is proved that the stochastic process of the number of fibers in the cross section of the ideal sliver is weakly stationary. And further work is done to have found out the mathematical expectation, the variance and the co - variance of the process. All these works are helpful to the understanding of the ideal sliver and the fitting of the non - ideal slivers. The stochastic process analysis is also a platform of generating ideal silver by simulations.

关 键 词：理想纱条 纤维排列 纤维头端 随机过程 

分 类 号：TS101.1[轻工技术与工程—纺织工程]