Theoretical model for the motion of a ring spinning traveler

Abstract

The motion of the traveler has an important influence on the spinning quality of a ring spinning frame, the yarn breakage rate, and the design and use of the traveler. Current theoretical models assuming a flat balloon are not applicable to high spinning speeds, and so a mathematical model of the time variations of the yarn winding radius and traveler turning radius is established by considering the effects of air resistance and the Coriolis force. A relationship among the rotation speed of the traveler, the winding speed of the spun yarn, and the rotation speed of the spindle is obtained by considering the twisting and winding process and the winding behavior of the tube yarn. Then, from moment balance, a formula is obtained for the traveler torque balance, and the variations in the three spatial inclinations of the traveler are obtained. Finally, using image processing techniques, image feature points are extracted for analysis, and the theoretical model is optimized based on the results. Experimental results show that the mathematical model can accurately predict the time variations of the camber and rake angles of the traveler. This work can provide a theoretical foundation for the development of high-speed ring spinning machines.