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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.

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References

Figures

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Fig. 1

Roll-drafting process

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Fig. 2

Filament coordinate system for transverse isotropy

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Fig. 3

Filament bundle and its cross section

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Fig. 4

ANCF three-dimensional beam element

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Fig. 5

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

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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)

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Fig. 7

Snapshot of the system initial configuration

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Fig. 8

Description of filament–roller contact

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Fig. 9

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

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Fig. 10

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

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Fig. 11

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

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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

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Fig. 13

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

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Fig. 14

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

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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

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Fig. 16

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

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Fig. 17

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

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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

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Fig. 19

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

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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

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Fig. 21

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

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