Effect of accelerated point distribution on sliver irregularity. Part Ι: characterization of accelerated point distribution

This paper introduces a new approach to characterize the accelerated point distribution in roller drafting. The approach uses 2-parameter Weibull distribution and Log-normal distribution to estimate the probability density function of the fiber accelerated point by including the influence of draft ratio and ratch, as well as fiber lengths. The coefficient of variation (CV) of accelerated points is then derived by employing conditional probability. The model was applied to a group of simulated data from literature and newly obtained experimental data of accelerated point distribution. The CV of the fiber accelerated points was compared with the CV from other published accelerated point distributions and the data derived from measurements of sliver irregularity. The model based on Log-normal distribution was proved to adequately characterize the probability density function of the fiber accelerated point. The accelerated point distribution would be a plausible variable to be utilized in the optimization of the draft settings.