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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Research-Article
ANCF Analysis of Textile Systems
Liang Wang,
Liang Wang
Department of Mechanical and Industrial Engineering,
University of Illinois at Chicago,
842 West Taylor Street,
Chicago, IL 60607
University of Illinois at Chicago,
842 West Taylor Street,
Chicago, IL 60607
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Yongxing Wang,
Yongxing Wang
Department of Mechanical Engineering,
Donghua University,
Shanghai, China 201620
Donghua University,
Shanghai, China 201620
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Antonio M. Recuero,
Antonio M. Recuero
Department of Mechanical and Industrial Engineering,
University of Illinois at Chicago,
842 West Taylor Street,
Chicago, IL 60607
University of Illinois at Chicago,
842 West Taylor Street,
Chicago, IL 60607
Search for other works by this author on:
Ahmed A. Shabana
Ahmed A. Shabana
Department of Mechanical and Industrial Engineering,
University of Illinois at Chicago,
842 West Taylor Street,
Chicago, IL 60607
University of Illinois at Chicago,
842 West Taylor Street,
Chicago, IL 60607
Search for other works by this author on:
Liang Wang
Department of Mechanical and Industrial Engineering,
University of Illinois at Chicago,
842 West Taylor Street,
Chicago, IL 60607
University of Illinois at Chicago,
842 West Taylor Street,
Chicago, IL 60607
Yongxing Wang
Department of Mechanical Engineering,
Donghua University,
Shanghai, China 201620
Donghua University,
Shanghai, China 201620
Antonio M. Recuero
Department of Mechanical and Industrial Engineering,
University of Illinois at Chicago,
842 West Taylor Street,
Chicago, IL 60607
University of Illinois at Chicago,
842 West Taylor Street,
Chicago, IL 60607
Ahmed A. Shabana
Department of Mechanical and Industrial Engineering,
University of Illinois at Chicago,
842 West Taylor Street,
Chicago, IL 60607
University of Illinois at Chicago,
842 West Taylor Street,
Chicago, IL 60607
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. May 2016, 11(3): 031005 (13 pages)
Published Online: October 23, 2015
Article history
Received:
December 18, 2014
Revised:
August 6, 2015
Citation
Wang, L., Wang, Y., Recuero, A. M., and Shabana, A. A. (October 23, 2015). "ANCF Analysis of Textile Systems." ASME. J. Comput. Nonlinear Dynam. May 2016; 11(3): 031005. https://doi.org/10.1115/1.4031289
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