0
Research Papers

ANCF Analysis of Textile Systems

[+] Author and Article Information
Liang Wang, Antonio M. Recuero, Ahmed A. Shabana

Department of Mechanical and Industrial Engineering,
University of Illinois at Chicago,
842 West Taylor Street,
Chicago, IL 60607

Yongxing Wang

Department of Mechanical Engineering,
Donghua University,
Shanghai, China 201620

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received December 18, 2014; final manuscript received August 6, 2015; published online October 23, 2015. Assoc. Editor: Dan Negrut.

J. Comput. Nonlinear Dynam 11(3), 031005 (Oct 23, 2015) (13 pages) Paper No: CND-14-1324; doi: 10.1115/1.4031289 History: Received December 18, 2014; Revised August 06, 2015

This paper presents a new flexible multibody system (MBS) approach for modeling textile systems including roll-drafting sets used in chemical textile machinery. The proposed approach can be used in the analysis of textile materials such as lubricated polyester filament bundles (PFBs), which have uncommon material properties best described by specialized continuum mechanics constitutive models. In this investigation, the absolute nodal coordinate formulation (ANCF) is used to model PFB as a hyperelastic transversely isotropic material. The PFB strain energy density function is decomposed into a fully isotropic component and an orthotropic, transversely isotropic component expressed in terms of five invariants of the right Cauchy–Green deformation tensor. Using this energy decomposition, the second Piola–Kirchhoff stress and the elasticity tensors can also be split into isotropic and transversely isotropic parts. The constitutive equations are used to define the generalized material forces associated with the coordinates of three-dimensional fully parameterized ANCF finite elements (FEs). The proposed approach allows for modeling the dynamic interaction between the rollers and PFB and allows for using spline functions to describe the PFB forward velocity. The paper demonstrates that the textile material constitutive equations and the MBS algorithms can be used effectively to obtain numerical solutions that define the state of strain of the textile material and the relative slip between the rollers and PFB.

Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.

References

Vose, R. W. , 1944, “ The Dynamics of Flowing Cord,” Text. Res. J., 14(4), pp. 105–112. [CrossRef]
Platt, M. M. , Klein, W. G. , and Hamburger, W. J. , 1958, “ Mechanics of Elastic Performance of Textile Materials: Part XIII—Torque Development in Yarn System: Singles Yarn,” Text. Res. J., 28(1), pp. 1–14. [CrossRef]
Platt, M. M. , Klein, W. G. , and Hamburger, W. J. , 1959, “ Mechanics of Elastic Performance of Textile Materials: Part XIV—Some Aspects of Bending Rigidity of Singles Yarns,” Text. Res. J., 29(8), pp. 611–627. [CrossRef]
Curiskis, J. I. , and Carnaby, G. A. , 1985, “ Continuum Mechanics of the Fiber Bundle,” Text. Res. J., 55(6), pp. 334–344. [CrossRef]
Pan, N. , and Carnaby, G. A. , 1989, “ Theory of the Shear Deformation of Fibrous Assemblies,” Text. Res. J., 59(5), pp. 285–292. [CrossRef]
Pan, N. , 1992, “ Development of a Constitutive Theory for Short Fiber Yarns: Mechanics of Staple Yarn Without Slippage Effect,” Text. Res. J., 62, pp. 749–765. [CrossRef]
Cai, Z. , and Gutowski, T. , 1992, “ The 3-D Deformation Behavior of a Lubricated Fiber Bundle,” J. Compos. Mater., 26(8), pp. 1207–1237. [CrossRef]
Karbhari, V. M. , and Simacek, P. , 1996, “ Notes on the Modeling of Preform Compaction: I—Micromechanics at the Fiber Bundle Level,” J. Reinf. Plast. Compos., 15, pp. 86–122.
van Luijk, C. J. , Carr, A. J. , and Carnaby, G. A. , 1984, “ Finite Element Analysis of Yarns Part I,” J. Text. Inst., 75(5), pp. 342–362. [CrossRef]
Djaja, R. G. , Moss, P. J. , Carnaby, G. A. , and Lee, D. H. , 1992, “ Finite Element Modeling of an Oriented Assembly of Continuous Fibers,” Text. Res. J., 62, pp. 445–457. [CrossRef]
Zhao, L. , Mantell, S. C. , Cohen, D. , and McPeak, R. , 2001, “ Finite Element Modeling of the Filament Winding Process,” Compos. Struct., 52(3–4), pp. 499–510. [CrossRef]
Huh, Y. , and Kim, J. S. , 2004, “ Modeling the Dynamic Behavior of the Fiber Bundle in a Roll-Drafting Process,” Text. Res. J., 74(10), pp. 872–878. [CrossRef]
Huh, Y. , and Kim, J. S. , 2006, “ Effects of Material Parameters and Process Conditions on the Roll-Drafting Dynamics,” Fibers Polym., 7(4), pp. 424–431. [CrossRef]
Kim, J. S. , Cherif, C. , and Huh, Y. , 2008, “ Numerical Analysis of Fiber Fleece Behavior in Roller Drafting in a Transient State,” Text. Res. J., 78(9), pp. 796–805. [CrossRef]
Bechtel, S. E. , Vohra, S. , and Jacob, K. I. , 2002, “ Stretching and Slipping of Fibers in Isothermal Draw Processes,” Text. Res. J., 72(9), pp. 769–776. [CrossRef]
Mbarek, S. , Jaziri, M. , Carrot, C. , and Chalamet, Y. , 2012, “ Thermo Mechanical Properties of a Polymer Blend: Investigation of a Third Phase,” Mech. Mater., 52, pp. 78–86. [CrossRef]
Dyke, P. V. , and Hedgepeth, J. M. , 1969, “ Stress Concentrations From Single-Filament Failures in Composite Materials,” Text. Res. J., 39, pp. 618–626.
Jones, N. , 1974, “ Elastic–Plastic and Viscoelastic Behavior of a Continuous Filament Yarn,” Int. J. Mech. Sci., 16(9), pp. 679–687. [CrossRef]
McLaughlin, P. V., Jr. , 1972, “ Plastic Limit Behavior and Failure of Filament Reinforced Materials,” Int. J. Solids Struct., 8(11), pp. 1299–1318. [CrossRef]
Maqueda, L. G. , and Shabana, A. A. , 2007, “ Poisson Modes and General Nonlinear Constitutive Models in the Large Displacement Analysis of Beams,” Multibody Syst. Dyn., 18(3), pp. 375–396. [CrossRef]
Jung, J. H. , and Kang, T. J. , 2005, “ Large Deflection Analysis of Fibers With Nonlinear Elastic Properties,” Text. Res. J., 75(10), pp. 715–723. [CrossRef]
Bonet, J. , and Burton, A. J. , 1997, “ A Simple Orthotropic, Transversely Isotropic Hyperelastic Constitutive Equations for Large Strain Computations,” Comput. Methods Appl. Mech. Eng., 162(1–4), pp. 151–164. [CrossRef]
Limbert, G. , and Middleton, J. , 2004, “ A Transversely Isotropic Viscohyperelastic Material Application to the Modeling of Biological Soft Connective Tissues,” Int. J. Solid Struct., 41(15), pp. 4237–4260. [CrossRef]
Kulkarni, S. G. , Gao, X. , Horner, S. E. , Mortlock, R. F. , and Zheng, J. Q. , “ A Transversely Isotropic Visco-Hyperelastic Constitutive Model for Soft Tissues,” Math. Mech. Solids (in press).
Christensen, R. M. , 1979, Mechanics of Composite Materials, Wiley, New York.
Spencer, A. J. M. , 1971, Theory of Invariants, in Continuum Physics: Mathematics, Vol. 1, A. C. Eringen , ed., Academic Press, New York.
Kao, P. H. , Lammers, S. R. , Hunter, K. , Stenmark, K. R. , Shandas, R. , and Qi, H. J. , 2010, “ Constitutive Modeling of Anisotropic Finite-Deformation Hyperelastic Behaviors of Soft Materials Reinforced by Tortuous Fibers,” Int. J. Struct. Changes Solids Mech., 2(1), pp. 19–29.
Shabana, A. A. , and Yakoub, R. Y. , 2001, “ Three Dimension Absolute Nodal Coordinate Formulation for Beam Elements: Theory,” ASME J. Mech. Des, 123(4), pp. 606–613. [CrossRef]
Shabana, A. A. , 2012, Computational Continuum Mechanics, 2nd ed., Cambridge University Press, Cambridge, UK.
Ogden, R. W. , 1984, Non-Linear Elastic Deformations, Dover Publications, New York.
Dufva, K. , Kerkkänen, K. , Maqueda, L. G. , and Shabana, A. A. , 2007, “ Nonlinear Dynamics of Three-Dimensional Belt Drives Using the Finite-Element Method,” Nonlinear Dyn., 48(4), pp. 449–466. [CrossRef]
Shabana, A. A. , 2013, Dynamics of Multibody Systems, 4th ed., Cambridge University Press, Cambridge, UK.

Figures

Grahic Jump Location
Fig. 1

Roll-drafting process

Grahic Jump Location
Fig. 2

Filament coordinate system for transverse isotropy

Grahic Jump Location
Fig. 3

Filament bundle and its cross section

Grahic Jump Location
Fig. 4

ANCF three-dimensional beam element

Grahic Jump Location
Fig. 5

Angular velocity of the rollers ( first scenario and second scenario)

Grahic Jump Location
Fig. 6

Forward velocity of the front and rear nodes ( first scenario rear node, first scenario front node, second scenario front node, and second scenario rear node)

Grahic Jump Location
Fig. 7

Snapshot of the system initial configuration

Grahic Jump Location
Fig. 8

Description of filament–roller contact

Grahic Jump Location
Fig. 9

Nodal position in the Y direction (axial loading) (a, b, and c)

Grahic Jump Location
Fig. 10

Nodal position in the Y direction (transverse load) (a, b, and c)

Grahic Jump Location
Fig. 11

Nodal position in the Z direction (transverse load) (a,b, and c)

Grahic Jump Location
Fig. 12

Nodal position in the Y direction (axial loading) ( 10-element, 20-element, 40-element, and 80-element): (a) original plot, (b) enlarged plot #1, and (c) enlarged plot #2

Grahic Jump Location
Fig. 13

Nodal position in the Y direction (transverse load) ( 10-element, 20-element, 40-element, and 80-element)

Grahic Jump Location
Fig. 14

Nodal position in the Z direction (transverse load) ( 10-element, 20-element, 40-element, and 80-element)

Grahic Jump Location
Fig. 15

Nodal position of the first and last nodes in the Y direction ( node # 1 and node # 128): (a) first scenario and (b) second scenario

Grahic Jump Location
Fig. 16

Axial strain for several ANCF elements ( element # 10, element # 70, and element # 120): (a) first scenario and (b) second scenario

Grahic Jump Location
Fig. 17

Cross section area ratio for several ANCF elements ( element # 10, element # 70, and element # 120): (a) first scenario and (b) second scenario

Grahic Jump Location
Fig. 18

Axial Green–Lagrange strain distribution in the filament bundle at two time steps: (a) at t=1.5 s, first scenario (b) at t=1.5 s, second scenario, (c) at t=2.5 s, first scenario, and (d) at t=2.5 s, second scenario

Grahic Jump Location
Fig. 19

Contact force at node # 83 (number of roller in contact is indicated in the plot): (a) first scenario and (b) second scenario

Grahic Jump Location
Fig. 20

Forward velocity of node #83 (number of roller in contact is indicated in the plot) (— nodal velocity and line velocity of rollers): (a) first scenario and (b) second scenario

Grahic Jump Location
Fig. 21

The torques on each rollers (1, 2, 3, 4, 5, 6, and 7)

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In