Abstract
A mathematical model for prediction of the end breakage rate due to knots (the weaver's knot and the fisherman's knot) in the plain knitting zone is formulated by using the mathematical model of the plain knitting process and the mechanism of the end breakage due to knots (the weaver's knot and the fisherman's knot) in the plain knitting zone. The effects of the frictional coefficient of yarn/knitting elements on the jamming rates of knots (the weaver's knot and the fisherman's knot) and the end breakage rates due to knots (the weaver's knot and the fisherman's knot) in the plain knitting zone are analyzed theoretical using the cotton yarn and the worsted yarn. The results obtained are as follows. 1) the jamming rates of knots (the weaver's knot and the fisherman's knot) increase with the increase of the frictional coefficient of yarn/knitting elements both the cotton yarn and the worsted yarn, 2) the end breakage rates due to knots (weaver's knot and fisherman's knot) increase with the increase of the frictional coefficient of yarn/knitting elements both the cotton yarn and the worsted yarn, 3) the jamming rates and the end breakage rates due to the fisherman's knot are more than the jamming rates and the end breakage rates due to the weaver's knot.
