Prediction of End Breakage Rate due to Knots in 1×1 Rib Knitting Zone

Abstract

A mathematical model for prediction of the end breakage rate due to knots in the 1×1 rib knitting zone is formulated by using the mathematical model of the 1×1 rib knitting process and the mechanism of the end breakage due to knots in the 1×1 rib knitting zone. The only unknown value in this computer program based on this model is the yarn tension(T_r) in the trailing arm of the loop held the needle that got out of the step length of cam. T_r is obtained by the simulated calculation used this program so that the calculated end breakage rate agrees with the experimental end breakage rate. Then the effects of the depth of stitch draw, the cam angle, the step length of cam and the input tension on T_r are described. The results obtained using this program are as follows. 1) the jamming rates of knots in the 1×1 rib knitting zone increase with the increase of the depth of stitch draw, the step length of cam and the input tension, but decreases with the increase of the cam angle. 2) the end breakage rates due to knots in the 1×1 rib knitting zone increase with the increase of the depth of stitch draw, the step length of cam and the input tension, but decrease with the increase of the cam angle.