抄録
As the fabric is an assembly of the yarns, its mechanical properties depend upon not only the yarn properties but also the form of the yarn axis in the fabric. Ordinarilly, this yarn axis form was approximated by many workers by sine wave or a curve, which is a continuity of arc and straight line. But sine wave is determined only by amplitude (a) and wave length (4l). And this mathematial treatment is not practical. Real yarn axis in the fabric has various curved forms under the same amplitude and wave length. In this paper, a quarter of crimp of yarn axis is assumed by the form:
For the various values of parameter n, differential curved form are obtained (as shown in Fig. 2).
The crimp ratio p depends upon a/l and n, and p is obtained by the equation (15) and (19) for na/l_??_1 and na/l_??_1 respectively. The relationship between p and a/l for various n is shown in Fig. 5. The usefull equation required for p is obtained by rough approximation in the equation (23).
The theory for the yarn axis is applied to the fabric and crimped fiber.
