Mechanical modeling of an arc-shaped suction slot for compact spinning and analysis of additional twists

In this study, an arc-shaped suction slot was designed for a pneumatic compact spinning system with a lattice apron. A model was built via mechanical analysis of a fibrous strand in an arc-shaped suction slot to calculate additional twists inserted during condensing. The equations can be solved by using the Runge–Kutta method. The simulation results showed that negative pressure and frictional coefficient of the lattice apron and the fibrous strand have significant effects on additional twists of the strand in an arc-shaped slot. The curvature radius of the arc slot has some influence on the additional twists, while that of the condensing surface has no obvious effect on the additional twists. The radius of the strand may significantly influence the additional twists, but the radius of the strand itself is affected by various other factors. Spinning tests were carried out based on the model design. These results verified the additional twist model of the arc-shaped suction slot.