Determination of take-up quantities for wefts of varied weft density fabric

In ordor to weave the varied weft density fabric of which weft distribution pattern is prescribed in sections,the definition field of fabric′s weft density function is divided into continuous and discrete intervals according to the variation characteristics of weft density of fabric.On the basis,for the continuous intervals in which the weft density function is continuous in sections and may be discontinuous at some points,the equation of take-up quantities is established;the solution intervals for take-up quantities of wefts are analyzed and determined,the solution method,i.e.the bisection method of which termination criteria is small enough,is given;and the validity of the method at discontinous point is expounded.For the discrete intervals which consist of dispersed points,determination methods of tuke-up quantities for wefts at the ends of or in the interval are given.With determining the take-up quantities for wefts according to the above mentioned methed,it can be ensured that woven fabric possess the prescribed variation pattern of weft density.