Mechanics of Disk-Type False Twisting Part I: Yarn Path and Friction Force on a Single Disk

摘要

False twisting by means of a friction disk unit is an efficient technology used worldwide to manufacture synthetic fiber yarns that are textured. This paper proposes a new theory to analyze the yarn path and the friction force exerted on the running yarn over a single friction disk. We do not apply discrete methods, but treat the system in a continuous manner using three-dimensional vector analysis and differential geometry.