Yarn twist index and its calculation-twist width and twist coefficient
If the cross-section of the spinning yarn is regarded as a circle, the angles between the fibers at different radii and the axis of the spinning yarn are different. To express this situation, the twist width is introduced as an indicator. The twist width refers to the arc length that a point on the yarn cross section rotates within the unit length. As shown in Figure 2-11(a), AB, which is originally parallel to the yarn axis, is tilted to A’B. When L is the unit length , then the arc length AA’ is the twist width of point A. If PA is used to represent the twist width at point A, β is ∠ABA’ and is the angle between A’B and the yarn axis, then: So the twist width is actually the tangent of the twist angle at this point. For convenience, the cross-sectional distribution diagram of spinning yarn is often drawn, as shown in Figure 2-11(b). The length of the arrow in the diagram indicates the twist width, and the direction of the arrow indicates the twisting direction. The fiber in the center of the spinning yarn has a smaller β angle and smaller PA; while the fiber in the outer layer of the spinning yarn has a larger β angle and larger PA. The twist width at each point in the yarn is proportional to the radius. This indicator is mainly used for scientific research. (4) Twist coefficient Twist measurement is more convenient, but it cannot be used to express the twist degree of spun yarns of different thicknesses. In order to compare the degree of twist of spun yarns with different linear densities, a relative index that combines linear density to express the degree of twist – the twist coefficient has been defined. Special number system twist coefficient:
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