Abstract
The most common method used to analyze the drafting process is the so-called “geometrical” method. Many theories on the drafting have been developed by this method or by following its geometrical concept.
It is common knowledge that the irregularity of slivers thickness has statistic characteristics. It is very difficult to clarify by the geometrical method the relation between this statistic irregularity and the drafting process. This articles deal with an “analytical” method which we have built up (instead of the geometrical method) to solve these complex problems and to calculate some characteristics of the irregularity found in drafted slivers.
The analytical method has made it clear, among other things, that the drafting process has an oscillatory behavior; that its resonance wave length is about 2_??_3 times the mean fiber length; and that the oscillatory behavior differs according to the staple diagram of drafted slivers and is most conspicuous when square-cut staple fiber are drafted.
