Mathematical modeling and numerical simulation of nonlinearly elastic yarn in ring spinning

In this paper, yarn dynamic behavior in the ring spinning system has been studied. A new model has been proposed by considering nonlinear elastic yarn. Equations of motion were derived by Newton’s second law and resolved by the finite difference method. Some results were given and relationships among models of inextensible yarn, linear elastic yarn, and nonlinearly elastic yarn were discussed. Experiments were conducted to evaluate the accuracy of the proposed model in terms of yarn tension and balloon profile and a good agreement has been made between the predicted data and experimental results.