Length of small gauge zone between cylinder and flat of a card

摘要

The length of small gauge zone (SGZ) between cylinder and flat of a card was studied mathematically. A formula to calculate the length was derived with geometry and calculus methods, by which the abscissa of the point at which the flat-cylinder gauge was minimal was obtained. The effect of heel-toe difference (HTD), cylinder radius, flat setover, minimum flat-cylinder gauge, as well as the difference between outlet gauge and minimum flat-cylinder gauge on the length of SGZ was discussed, respectively. It is concluded that a smaller cylinder radius, smaller HTD and a longer flat setover will help to lengthen SGZ. Given an appropriate value of the difference between the outlet gauge and the minimum gauge, δ, a longer SGZ will be beneficial to improving the carding intensity. But the influence of δ and the minimum flat-cylinder gauge on the length of SGZ can be ignored. The conclusion is of some theoretical value for manufacturers of textile accessories or machinery to accurately choose parameters such as cylinder radius, HTD and setover in production.