A Mathematical Model for Rotor-Spun Composite Yarn Spinning Process

Abstract

A mathematical model is established for a stable rotor-spun composite yarn spinning process based on force balance and mass conservation. From the established model, we can easily determine the position of the convergent point, the section area and the line density of the composite yarn.

Determination of the Convergent Point in the Rotor-spun Composite Yarn Spinning Process

“…As soon as the position of the convergent point is identified, we can determine the forces acting on each component using force balance [1,2]:…”

“…The rotor spinning [1][2][3] has been widely used in textile industry to produce composite yarns. The technology has obvious advantages over ring spinning [4] and air-vortex spinning [5,6] in its high yarn output rate and low production cost.…”

Nonlinear Mathematical Model for Rotor-Spun Composite Yarn Spinning Process

“…Firstly, we assume the system is in a stable state. L, h can be calculated by our self-contained theoretical model [5]. The convergent point (equilibrium position Ο in Fig.2) will move to an instantaneous new position (O'), due to perturbations.…”

Investigation into the effect of the blend ratio on the structure and properties of dual-feed-opening rotor-spun yarn

“…It has the advantages of a short technological process and high production efficiency. [1][2][3] Blended yarn is currently an important research direction in the production of rotor-spun yarn. 4 Aghasian et al, 5 Ureyen, 6 Karthik et al, 7 Liu et al, 8 Ozkan et al 9 and many other scholars have developed a variety of new rotor-blended yarns using different kinds of fibers as materials.…”