Variational Approach to Nonlinear Coupled Oscillators Arising in Sirospun Yarn Spinning

A description of stable working conditions for spinning two-strand yarn is given. A theoretical model underlying Sirospun yarn spinning is also given. Based on the variational formulation established for the coupled oscillators arising in two-strand yarn spinning, a simple analytical model for the forces that determine the nonlinear oscillation during the yarn spinning, as a function of inlet velocities, strand-spacing, and forces acting on the strands is proposed, which reveals that resonance occurs when the convergence angle is near 127 degrees.