Numerical simulation and analysis of the dynamic finite element model of the fiber motion in the air spinning process

Under the spinning technology of the air-assisted twisting, this paper established the fiber finite element model, which has the structural and dynamic characteristics of the fiber flexible body, based on the space elastic thin rod unit. In this research, we deduced the static equilibrium equation of the fiber finite element model. The nonlinear geometric displacement large deformation problem of the space elastic thin rod unit was treated by the method of stepwise loading successive approximation, and the finite element simulation and analysis of the fiber flexible body’s movement and deformation during the air-jet twisting were carried out and verified by experiment in this paper. This research presents an effective and feasible theoretical model and method for the flexible fiber twisting formation process and mechanism under the high velocity vortex airflow.

[1]  F. Bretherton.  The motion of rigid particles in a shear flow at low Reynolds number , 1962, Journal of Fluid Mechanics.

[2]  K. Chiba,et al.  Numerical solution of fiber suspension flow through a complex channel , 1998 .

[3]  D. Klingenberg,et al.  DYNAMIC SIMULATION OF FLEXIBLE FIBERS COMPOSED OF LINKED RIGID BODIES , 1997 .

[4]  D. Klingenberg,et al.  Simulation of single fiber dynamics , 1997 .

[5]  T. Matsuoka,et al.  Viscosity of dilute suspensions of rodlike particles: A numerical simulation method , 1994 .

[6]  Arne Mikkelsen,et al.  Brownian dynamics simulation of needle chains , 1996 .

[7]  Chongwen Yu,et al.  A Bead-Elastic Rod Model for Dynamic Simulation of Fibers in High Speed Air Flow , 2003 .

[8]  K. Yasuda,et al.  Numerical solution of fiber suspension flow through a parallel plate channel by coupling flow field with fiber orientation distribution , 2001 .

[9]  K. Chiba,et al.  Numerical Simulation for Orientation of Thin Disk Particles in a Newtonian Flow through a L-Shape Channel , 2007 .

[10]  P. J. Morris,et al.  MODELLING OF YARN PROPERTIES FROM FIBRE PROPERTIES , 1999 .

[11]  C. L. Tucker,et al.  Orientation Behavior of Fibers in Concentrated Suspensions , 1984 .

[12]  Satoru Yamamoto,et al.  A method for dynamic simulation of rigid and flexible fibers in a flow field , 1993 .

[13]  F. Gauthier,et al.  The kinetics of flowing dispersions , 1967 .

[14]  Y. Zeng,et al.  Numerical Simulation of Fiber Motion in the Nozzle of an Air-Jet Spinning Machine , 2004 .

[15]  G. B. Jeffery.  The motion of ellipsoidal particles immersed in a viscous fluid , 1922 .