Theoretical Analysis of Fiber Tension Distribution within the Spinning Triangle of Three-Strand Spinning
摘要
Three-strand spinning is an advanced ring-spinning-based technology in which three rovings are simultaneously fed into the drafting zone, showing potential for improving yarn quality and reducing twist level by modifying the spinning triangle. Although the performance advantages of three-strand spinning have been experimentally demonstrated, the underlying yarn formation mechanism has not yet been fully clarified from a theoretical perspective. Since the spinning triangle is a critical region for yarn formation, the fiber tension distribution within the spinning triangle plays a decisive role in determining yarn structure and quality. In this study, a theoretical model of fiber tension distribution in the spinning triangle of three-strand spinning was established. The spinning triangle was divided into a final spinning triangle and three individual spinning triangles. The tension distribution among the three fiber bundles in the final spinning triangle was determined using the principle of hyperstatic systems, while the fiber tension distribution within each individual spinning triangle was derived based on the principle of minimum potential energy. To provide accurate geometric parameters for the model, a transparent top roller was developed to capture the spinning triangle during the actual spinning process, and the geometric dimensions were restored through image processing. Based on the proposed theoretical model and experimentally obtained geometric parameters, the fiber tension distributions in the spinning triangles of three-strand spinning under different strand spaces were simulated and compared with those of conventional ring spinning. The results show that three-strand spinning exhibits distinct fiber tension distribution characteristics, including larger fiber tension differences and multiple localized migration zones within individual spinning triangles. These features promote more frequent and stable fiber migration while avoiding excessive fiber breakage, thereby providing a theoretical explanation for the improved yarn quality observed in three-strand spinning.