This paper propses a numerical simulation model for the unwinding behavior of a bobbin yarn based on the multibody dynamics method. When the edge of a yarn, wound on a bobbin, is pulled in upper direction, it starts moving naturally from the static condition and shows a ballooning behavior. A yarn model is constructed by particles connected to each other, and its motion is numerically analyzed under the action of a contact force by a wall. In an unwinding process, since the yarn is unwound sequentially from the bobbin, the total length of the yarn becomes very long and the number of particles representing the yarn becomes a large number. In this paper, only the part of the yarn between the unwound point and the pulling point is considered in order to reduce the calculation load. As the yarn moves with time, the part of the yarn which starts moving at the bobbin is added to the range of calculation, and the part of the yarn which reaches the pulling point is removed from the range of calculation at each time increment of the numerical simulation. The numerical result is compared with the experimental result and their shapes of ballooning behavior show quantitative agreements. As a result, the validity of the proposed yarn model of the unwinding process is verified.
[1]
C. Canudas-de-Wit.
Comments on "A new model for control of systems with friction"
,
1998,
IEEE Trans. Autom. Control..
[2]
D. McIver,et al.
Hamilton's principle for systems of changing mass
,
1973
.
[3]
Nobuyuki Shimizu,et al.
An MBD approach for a simplified yarn model
,
2015
.
[4]
Jorge Ambrósio,et al.
Flexible Multibody Dynamics in Crash Analysis
,
2001
.
[5]
Daphne Ge . Padfield,et al.
The motion and tension of an unwinding thread. I
,
1958,
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.
[6]
Olivier A. Bauchau,et al.
Flexible multibody dynamics
,
2010
.
[7]
Wen-Yan Liu.
Stability analysis of the yarn ballooning without air drag
,
2010
.
[8]
Olivier Bauchau.
Constrained systems: numerical methods
,
2011
.
[9]
M. A. Serna,et al.
A modified Lagrangian formulation for the dynamic analysis of constrained mechanical systems
,
1988
.
[10]
Jae-Wook Lee,et al.
Prediction of unwinding behaviors and problems of cables from inner-winding spool dispensers
,
2012
.