Modeling the Feeding Process in Gill-Box Using Non-Linear Mass-Spring System

The purpose of this study is to investigate the behavior of the sliver pick-up from can in gill-box machines during feeding process. A model is presented to predict the height changes of can plate during the feeding process. To this aim, a mass-spring model is introduced. The behavior of the can plate is considered as linear spring system and the sliver weight in the can is also noted as time depended mass value. The mass spring derived equations are solved using Three-order Straight Forward Expansion method. Result of can plate height predicting by the model is compared to some experimental data which are collected from a wool yarn mill. The meaningful 12 percent difference between proposed model and the experimental value proves the acceptable result of desired model that can be used for predicting the height of can plate by the aim of machine speed and sliver count.