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Variational Approach to Nonlinear Coupled Oscillators Arising in Sirospun Yarn Spinning

Research and development

Author:

  • He Ji-huan
    Modern Textile Institute, Donghua University, Shanghai, P. R. China

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Abstract:

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.

Tags:

two-strand yarn, Sirospun, Sirofil, dynamical model, variational principle, coupled nonlinear oscillator, resonance, three-strand yarn

Published in issue no 1 (60) / 2007, pages 31–34.

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