摘要
为研究短纤维纱条中纤维的排列状态与纱条截面纤维根数分布不匀的关系,采用几何概率方法建立了等分区间内纤维左头端数分布与纱条截面纤维根数的期望之间的数学模型,并定义了表征纱条中纤维排列状态的参数。运用蒙特卡罗方法模拟了纱条截面根数不匀随排列参数变化的关系曲线。结果表明:短纤维纱条截面纤维根数的CV值与纱条中短纤维排列参数呈负线性关系,与纤维长度分布和模拟区间大小的划分无关;且当排列参数接近1时,即纤维左头端数在所划分区间中为固定值时,纱条截面纤维根数不匀最低,而当排列参数趋向于0时,即纤维左头端数在所划分区间中呈泊松分布时则不匀最大。
In order to study the relationship between the alignment of fibers and the uneven distribution of fiber numbers in the cross-sections of a staple yarn,a mathematical model describing the distribution of fibers at the left ends of yarn segments cut at equal intervals and the expectation of the fiber numbers in the yarn cross-section was established using geometric probability method,and a parameter to characterize the arrangement of fibers in yarn was defined.The variation of fiber numbers in the cross-sections of yarn segments against the fiber alignment parameter was simulated by Monte Carlo method.The results showed that the CV value of fiber numbers in the cross-sections of the segments of the staple yarn was negatively proportional against the parameters of the alighment state of staple fibers in the yarn,and demonstrated no relation with the distribution of the fiber length and the division of the simulation interval.When the alighment parameter is close to 1,that is when the number of fibers in the left end of the yarn segment is fixed,the variation in fiber numbers in the cross-sections was the lowest.When the alignment parameter tends to 0,meaning that when the number of fibers in yarn segments follows a Poisson distribution,the variation of the fiber numbers was the highest.
作者
苏玉恒
孔繁荣
严广松
SU Yuheng;KONG Fanrong;YAN Guangsong(Henan University of Engineering,Zhengzhou,Henan 450007,China;Zhengzhou Shengda University of Economics,Business and Management,Zhengzhou,Henan 451191,China)
出处
《纺织学报》
EI
CAS
CSCD
北大核心
2020年第1期45-49,55,共6页
Journal of Textile Research
关键词
纤维头端
纤维排列
随机模拟
纱条不匀
纱条截面纤维根数
fiber end
fiber alignment
random simulation
yarn unevenness
fiber number in the cross-section of staple yarn
