Abstract
The levelling effect of ideal drafting is theoretically studied. After some analysis it is concluded that the coefficient of variation of fiber end density in slivers may be diminished by drafting, if the frequency distribution φ(x) of velocity change point of floating fibers in drafting field does not vary with time. Assuming that the distribution φ(x) is normal and uniform, it is shown that the diminution of coefficient of variation in density of slivers is larger in higher drafting, wider distribution of fiber velocity change point and shorter term variations. On a further consideration, it is suggested that the levelling effect like this may be found in other spinning processes besides roller drafting, and it may be possible to diminish a particularly remarkable irregularity by using process in which the distribution φ(x) is proper for its wave length and the draft apparatus which has wide distribution of fiber velocity change point may be rather effective for diminishing thickness irregularities.
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