Modeling the Dynamics of Fabric in a Rotating Horizontal Drum Using the Discrete Element Method

In order to provide a tool for designing more efficient methods of mixing fabric, a simplified discrete element computational model was developed for modeling fabric dynamics in a rotating horizontal drum. Because modeling the interactions between actual pieces of fabric is quite complex, a simplified model was developed where individual pieces of bundled fabric are represented by spherical particles. This model is essentially a ball mill. The simulations are used to investigate fabric bundle kinematics, the power required to drive the rotating drum, and the power dissipated through normal and tangential contacts. Parametric studies were performed to investigate the effects of fill percentage, baffles, rotation speed, friction coefficient, and coefficient of restitution. The simulation results indicate that fill percentage, drum rotation speed, and friction coefficient play significant roles in the fabric bundle dynamics. For example, the specific drum power increases by a factor of 600% to 800% as the fill percentage decreases from 75% to 25%. In addition, the maximum specific drum power occurs at a rotation speed just less than the speed at which centrifuging occurs. The friction coefficient does not play a significant role in the bundle dynamics for values greater than a critical value. The critical value decreases from a value of approximately 0.3 at a 25% fill percentage to 0.05 for a 75% fill percentage. For friction coefficients less than this critical value, the specific power decreases with decreasing friction coefficient. Drum baffles have a minor effect on the power dissipation and kinematics for fill percentages greater than 50%. Bundle size and coefficient of restitution have a relatively weak influence on the measured parameters.

[1]  Xavier Provot,et al.  Deformation Constraints in a Mass-Spring Model to Describe Rigid Cloth Behavior , 1995 .

[2]  Yiorgos Chrysanthou,et al.  Fast Cloth Animation on Walking Avatars , 2001, Comput. Graph. Forum.

[3]  D. Ward Modelling of a Horizontal-axis Domestic Washing Machine , 2000 .

[4]  R. L. Braun,et al.  Stress calculations for assemblies of inelastic speres in uniform shear , 1986 .

[5]  Brahmeshwar Mishra,et al.  The discrete element method for the simulation of ball mills , 1992 .

[6]  Matthew Ming-Fai Yuen,et al.  Cloth simulation using multilevel meshes , 2001, Comput. Graph..

[7]  C. Wassgren,et al.  Size Segregation in Granular Beds Subject to Discrete and Continuous Vertical Oscillations , 2000 .

[8]  Carl Wassgren,et al.  Vibration of granular materials , 1997 .

[9]  Robert K. L. Gay,et al.  A model for animating the motion of cloth , 1996, Comput. Graph..

[10]  David E. Breen,et al.  A Particle-Based Model for Simulating the Draping Behavior of Woven Cloth , 1993 .

[11]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[12]  Berend Smit,et al.  Commensurate ‘freezing’ of alkanes in the channels of a zeolite , 1995 .

[13]  Kwang-Jin Choi,et al.  Stable but responsive cloth , 2002, SIGGRAPH 2002.

[14]  R. D. Mindlin Elastic Spheres in Contact Under Varying Oblique Forces , 1953 .

[15]  Amit Acharya,et al.  A distinct element approach to ball mill mechanics , 2000 .

[16]  J. Williams,et al.  Handbook of Powder Technology , 1988 .

[17]  S. N. Dorogovtsev Avalanche mixing of granular solids , 1998 .

[18]  Wallace W. Carr,et al.  Frictional Characteristics of Apparel Fabrics , 1988 .

[19]  Richard L. Grimsdale,et al.  Computer graphics techniques for modeling cloth , 1996, IEEE Computer Graphics and Applications.

[20]  Ronald Fedkiw,et al.  Robust treatment of collisions, contact and friction for cloth animation , 2002, SIGGRAPH Courses.

[21]  C. Brennen,et al.  Vertical Vibration of a Deep Bed of Granular Material in a Container , 1996 .

[22]  Paul W. Cleary,et al.  Modelling comminution devices using DEM , 2001 .