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

Abstract

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.

Keywords

processing fabrication spinning testing materials properties

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References

Jeffery

. The Motion of ellipsoid particles immersed in a viscous fluid. P Roy Soc A-Math Phy 1922; 102: 161–179.

Folgar

Tueker

. Orientation behavior of fibers in concentrated suspensions. J Reinf Plast Comp 1984; 3: 98–119.

Anezurowski

Mason

. The kinetics of flowing dispersions: II. Equilibrium orientations for rods and dices (theoretical). J Colloid Interf Sci 1967; 23: 522–532.

Bretherton

. The motion of rigid particles in a shear flow at low Reynolds number. J Fluid Mech 1962; 14: 284–301.

Chiba

Nakamura

. Numerical solution of fiber suspension flow through a complex channel. J Non-Newton Fluid 1998; 78: 167–185.

Chiba

Yasuda

Nakamura

. Numerical solution of fiber suspension flow through a parallel plate channel by coupling flow field with fiber orientation distribution. J Non-Newton Fluid 2001; 99: 145–157.

Chiba

Komatsu

. Numerical simulation for orientation of thin disk particles in a Newtonian flow through an l-shape channel. J Text Eng 2007; 53: 31–35.

Zhu

Lin

. Fibrous suspension flowing ion mechanical analysis, Shanghai: China Textile University Press, 2000, pp. 50–51.

Lin

. Extra-particle multiphase hydrodynamics, Beijing: Science Press, 2008, pp. 30–32.

10.

Yamamoto

Matsuoka

. Method for dynamic simulation of rigid and flexible fibers in a flow field. J Chem Phys 1993; 98: 644–650.

11.

Yamamoto

Matsuoka

. Viscosity of dilute suspensions of rod like particles: a numerical simuational method. J Chem Phys 1994; 100: 3317–3324.

12.

Ross

Klingenberg

. Dynamics simulation of flexible fibers composed of linked rigid bodies. J Chem Phys 1997; 106: 2949–2960.

13.

Skjetne

Ross

Klingenberg

. Simulation of single fiber dynamics. J Chem Phys 1997; 107: 2108–2121.

14.

Nyland

Skjetne

Mikkelson

et al.

Brownian dynamics simulation of needle chains. J Chem Phys 1996; 105: 1198–1207.

15.

Zeng

. A bead-elastic rod model for dynamic simulation of fibers in high speed air flow. Int J Nonlin Sci Num 2003; 4: 201–202.

16.

Zeng

. Numerical simulation of fiber motion in the nozzle of an air-jet spinning machine. Text Res J 2004; 74: 117–122.

17.

Morris

Merkin

Rennell

. Modelling of yarn properties from fibre properties. J Text Inst 1999; 90: 322–335.

18.

Guo

. Study on three-dimensional swirling airflow and motion of flexible fiber in air-jet spinning nozzle, Shanghai: Donghua University, 2009.

19.

Liu

. Nonlinear mechanics of elastic thin rods, Beijing: Tsinghua University Press, 2006, pp. 34–36.

20.

Liu

. Material mechanics, Beijing: Higher Education Press, 2012, pp. 45–48.

21.

Jiang

. Dynamic model of elastic rod and its numerical simulation, Qingdao: Qingdao University, 2012, pp. 20–25.

22.

Zhang

. Micro fiber elastic rod kinetic model and existence of kinetic equation solution. J Chongqing Tech Bus (Nat Edi) 2010; 5: 440–443.

23.

GB/T398:2008. Cotton grey yarns.