Computational model of 1D continuum motion: case of textile yarn unwinding without air resistance

  • Authors:
  • Yordan Kyosev;Michail Todorov

  • Affiliations:
  • Institute for Textile Technology, RWTH Aachen University, Aachen, Germany;Technical University of Sofia, Faculty of Applied Mathematics and Informatics, Sofia, Bulgaria

  • Venue:
  • NMA'06 Proceedings of the 6th international conference on Numerical methods and applications
  • Year:
  • 2006

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Abstract

The textile fibers and yarns are usually modeled as one dimensional continuum of beams or as a system of particles, connected by springs. The governing equation of motion of such systems has many solutions, which switch in between depending on the available energy of the system. Effective modeling of problems with bifurcations like these, applicable for more general geometries is rarely reported. In the present work we demonstrate, that using a system of particles and an appropriate change of variables, a successful time step integration either by the Leap-Frog or the Verlet algorithms is possible.