疏密纬织物各纬卷取量的确定

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

为织造出分区段设定纬密变化的疏密纬织物,根据织物的纬密变化特点,把织物纬密函数的定义域分成连续区间和离散区间;在此基础上,对于分段连续且可能存在间断点的连续区间,建立了卷取量方程;分析并确定了织物各纬卷取量的解区间,给出了卷取量的求解方法——以解区间足够小为解判据的二分法,并阐明了求解方法在间断点处的有效性;对于由离散点构成的离散区间,给出了区间端点卷取量的取值方法和区间中各纬卷取量的确定方法。按上述方法确定各纬卷取量,能保证所织造的织物具有预期的纬密变化方式。

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.