Abstract:

This paper established a density function of the fiber length distribution using nonparametric kernel estimation method, and fiber distribution in the drafting zone was random 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, therefore, was more close to the actual situation. This method can be used in the optimization and forecast of the actual drafting processing and mechanism.