抄録
This article concerns a theoretical analysis of random slivers. The assumptions made in it are that all fibers are straight and parallel to the sliver axis; that each single fiber is of a constant thickness; and that fibers are arranged at random according to some statistic process or other.
The authors have formulated a function which expresses the thickness of slivers, to begin with, and have calculated its spectral density by Fourier transformation. Then, as a special case in the general formula, the so-called “random slivers” are denoted and the characteristics of their irregularity explained.
The results of this analysis make it possible to explain an empirical fact, such as that the most conspicuous wave length component contained in the irregularity of a normal yarn is 2 L when the constituent fibers are of uniform length L.
This theory can be used to solve problems attending automatic control of sliver levelness, the technique of the measurement of sliver or yarn irregularity, the drafting and the theory of blending.
