摘要
采用非参数核密度估计的方法获得纤维长度分布的密度函数,随机生成牵伸区纤维分布样本。利用多项式回归拟合出JF型双短胶圈环锭细纱牵伸装置的纵向摩擦力界分布函数,结合纤维变速的数学模型,采用计算机方法模拟出JF型牵伸装置在纤维等长均匀分布和核密度估计分布下的变速点分布形态的直方图。结果表明:等长分布纤维的变速点高度集中于前钳口;核密度估计分布纤维变速点分度离散,近似于正态分布,表明纤维尾端离开后钳口即会有变速可能,可见核密度估计分布下纤维变速点分布的模拟结果更接近于真实情况。此方法可用于对实际牵伸工艺和牵伸机构的优化和预测。
This paper established a density function of the fiber length distribution using nonparametric kernel estimation method,and fiber distribution in the drafting zone was randomly formed.The longitudinal friction force zone distribution function of the JF type double short apron drafting system was obtained by the least square polynomial fitting.According to the mathematical model of floating fiber motion,the accelerated point distribution histograms of the JF type double short apron drafting system in the equal length fibers even distribution and kernel density estimation were simulated by computer,respectively.The results indicated that the accelerating point of the fibers obeying equal length distribution highly concentrated on the front nip.The fibers obeying kernel estimation density function length distribution was discrete and nearly normal distribution,showing that the fibers were possible to change the speed when it got away from the nip.The simulated result based on kernel density estimation of the fiber length,therefor,was more close to the actual situation.This method can be used in the optimization and forecast of the actual drafting processing and mechanism.
出处
《纺织学报》
EI
CAS
CSCD
北大核心
2010年第4期39-44,共6页
Journal of Textile Research
关键词
仿真
浮游纤维
非参数核估计
变速点
牵伸
摩擦力界
simulation
floating fiber
nonparametric kernel estimation
accelerated point
drafting
friction force zone
